%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : SYO846+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:53:38 PM UTC 2026
% Result : CounterSatisfiable 2.83s 1.39s
% Output : Saturation 2.83s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( aal6(X0)
<=> ? [X1] :
( aal5(X1)
& ~ asubq(X0,X1)
& asubq(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
! [X0] :
( aex3(X0)
<=> ( ~ aal4(X0)
& aal3(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
! [X0] :
( ain(X0,a3)
<=> ( X0 = a2
| X0 = a1
| X0 = a0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
! [X0,X1] :
( ain(X1,apow(X0))
=> asubq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ain(X2,asm(X0,X1))
=> ~ ain(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
! [X0] : ain(X0,apow(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
! [X0,X1] :
( asubq(X1,X0)
=> ( ~ asubq(X0,X1)
=> ? [X2] :
( asubq(X1,asm(X0,asing(X2)))
& ain(X2,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
! [X0,X1] :
( ~ aal6(X0)
=> ~ aal7(aun(X0,asing(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ain(X2,aun(X0,X1))
=> ( aal4(asm(aun(X0,X1),asing(X2)))
=> ( aal3(X1)
| aal3(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f10,axiom,
~ ain(a0,a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
~ ain(a2,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ asubq(a2,a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
a0 != asing(a1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
~ ain(asing(asing(a1)),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
~ ain(asm(a3,asing(a1)),a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
a2 != apow(asing(a1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
asing(asing(a1)) != apow(asing(a1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,axiom,
asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f19,axiom,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f20,axiom,
a2 != asing(a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f21,axiom,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f22,axiom,
asm(apow(a2),apow(asing(a2))) != apow(a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f23,axiom,
ain(asing(asing(a1)),asing(asing(asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
ain(a0,apow(asing(asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
ain(a0,apow(apow(asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
~ ain(asing(asing(a1)),asing(apow(asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f27,axiom,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f28,axiom,
ain(a0,apow(aun(asing(a1),asing(asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f29,axiom,
ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f30,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f31,axiom,
ain(a2,asm(a4,asing(a1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f32,axiom,
~ ain(a1,asing(a3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f33,axiom,
~ ain(asm(apow(a2),a2),a4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f34,axiom,
~ ain(a1,aun(asing(asing(a1)),asing(a3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f35,axiom,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f36,axiom,
~ ain(asing(a1),aun(asing(asing(a2)),a4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
~ ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f39,axiom,
~ ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f40,axiom,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f41,axiom,
ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f42,axiom,
ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f43,axiom,
! [X0] :
( asubq(X0,aun(asing(a1),asing(asing(a1))))
=> ( ~ ain(asing(a1),X0)
=> ( ain(a1,X0)
=> X0 = asing(a1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f44,axiom,
! [X0] :
( ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
=> ( X0 = asing(asing(a1))
| X0 = asing(a1)
| X0 = a1
| X0 = a0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).
fof(f45,axiom,
! [X0] :
( ain(X0,asm(a4,asing(a1)))
=> ( X0 = a3
| X0 = a2
| X0 = a0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f46,axiom,
! [X0] :
( ain(X0,asm(a4,apow(asing(a2))))
=> ( X0 = a3
| X0 = a2
| X0 = a1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f47,axiom,
~ asubq(aun(asing(apow(asing(a1))),a4),a4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f48,axiom,
~ asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f49,axiom,
asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f50,axiom,
~ asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f51,axiom,
asubq(a1,asm(a2,asing(a1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f52,axiom,
asubq(a2,asm(a3,asing(a2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f53,axiom,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f54,axiom,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f55,axiom,
asm(asm(apow(a2),apow(asing(a2))),asing(a2)) = aun(asing(a1),asing(asing(a1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f56,axiom,
asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f57,axiom,
asm(asm(a4,asing(a1)),asing(a3)) = asm(a3,asing(a1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f58,axiom,
aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2)))) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f59,axiom,
! [X0] :
( ain(X0,aun(apow(a2),asing(asing(a2))))
=> ( ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
=> ~ ain(X0,asing(apow(a2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f60,axiom,
aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) = aun(asing(a2),apow(asing(a2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f61,axiom,
~ aal2(asing(a3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f62,axiom,
! [X0] :
( ain(X0,a2)
=> ~ aal2(asm(a2,asing(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f63,axiom,
! [X0] :
( ain(X0,aun(apow(asing(a2)),asing(apow(a2))))
=> ~ aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f64,axiom,
aal2(asm(a4,a2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f65,axiom,
aal3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f66,axiom,
aal3(asm(a4,asing(a2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f67,axiom,
aal3(aun(a2,asing(apow(a2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f68,axiom,
aal4(apow(a2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f69,axiom,
aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f70,axiom,
aal5(aun(apow(a2),asing(asing(a2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f71,axiom,
aex2(aun(asing(a1),asing(asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f72,axiom,
aex2(asm(a3,asing(a1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f73,axiom,
aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f74,axiom,
aex3(aun(a2,asing(apow(a2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f75,axiom,
! [X0] :
( ain(X0,a3)
=> ( ain(X0,apow(asm(a3,asing(a1))))
=> ~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f76,axiom,
~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f77,axiom,
aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f78,axiom,
aex5(aun(a4,asing(apow(a2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f79,axiom,
asubq(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f80,conjecture,
aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f81,negated_conjecture,
~ aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))),
inference(negated_conjecture,[status(cth)],[f80]) ).
fof(f82,plain,
~ aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ ain(X1,apow(X0))
| asubq(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ ain(X2,asm(X0,X1))
| ~ ain(X2,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f85,plain,
! [X0,X1] :
( ~ asubq(X1,X0)
| asubq(X0,X1)
| ? [X2] :
( asubq(X1,asm(X0,asing(X2)))
& ain(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f86,plain,
! [X0,X1] :
( ~ asubq(X1,X0)
| asubq(X0,X1)
| ? [X2] :
( asubq(X1,asm(X0,asing(X2)))
& ain(X2,X0) ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( aal6(X0)
| ~ aal7(aun(X0,asing(X1))) ),
inference(ennf_transformation,[],[f8]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ ain(X2,aun(X0,X1))
| ~ aal4(asm(aun(X0,X1),asing(X2)))
| aal3(X1)
| aal3(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ ain(X2,aun(X0,X1))
| ~ aal4(asm(aun(X0,X1),asing(X2)))
| aal3(X1)
| aal3(X0) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
! [X0] :
( ~ asubq(X0,aun(asing(a1),asing(asing(a1))))
| ain(asing(a1),X0)
| ~ ain(a1,X0)
| X0 = asing(a1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f91,plain,
! [X0] :
( ~ asubq(X0,aun(asing(a1),asing(asing(a1))))
| ain(asing(a1),X0)
| ~ ain(a1,X0)
| X0 = asing(a1) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| X0 = asing(asing(a1))
| X0 = asing(a1)
| X0 = a1
| X0 = a0 ),
inference(ennf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0] :
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| X0 = asing(asing(a1))
| X0 = asing(a1)
| X0 = a1
| X0 = a0 ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ~ ain(X0,asm(a4,asing(a1)))
| X0 = a3
| X0 = a2
| X0 = a0 ),
inference(ennf_transformation,[],[f45]) ).
fof(f95,plain,
! [X0] :
( ~ ain(X0,asm(a4,asing(a1)))
| X0 = a3
| X0 = a2
| X0 = a0 ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ~ ain(X0,asm(a4,apow(asing(a2))))
| X0 = a3
| X0 = a2
| X0 = a1 ),
inference(ennf_transformation,[],[f46]) ).
fof(f97,plain,
! [X0] :
( ~ ain(X0,asm(a4,apow(asing(a2))))
| X0 = a3
| X0 = a2
| X0 = a1 ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0] :
( ~ ain(X0,aun(apow(a2),asing(asing(a2))))
| ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(X0,asing(apow(a2))) ),
inference(ennf_transformation,[],[f59]) ).
fof(f99,plain,
! [X0] :
( ~ ain(X0,aun(apow(a2),asing(asing(a2))))
| ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(X0,asing(apow(a2))) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ ain(X0,a2)
| ~ aal2(asm(a2,asing(X0))) ),
inference(ennf_transformation,[],[f62]) ).
fof(f101,plain,
! [X0] :
( ~ ain(X0,aun(apow(asing(a2)),asing(apow(a2))))
| ~ aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X0))) ),
inference(ennf_transformation,[],[f63]) ).
fof(f102,plain,
! [X0] :
( ~ ain(X0,a3)
| ~ ain(X0,apow(asm(a3,asing(a1))))
| ~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X0))) ),
inference(ennf_transformation,[],[f75]) ).
fof(f103,plain,
! [X0] :
( ~ ain(X0,a3)
| ~ ain(X0,apow(asm(a3,asing(a1))))
| ~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X0))) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( ~ aal6(X0)
| ? [X1] :
( aal5(X1)
& ~ asubq(X0,X1)
& asubq(X1,X0) ) )
& ( ! [X1] :
( ~ aal5(X1)
| asubq(X0,X1)
| ~ asubq(X1,X0) )
| aal6(X0) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f105,plain,
! [X0] :
( ( ~ aal6(X0)
| ? [X2] :
( aal5(X2)
& ~ asubq(X0,X2)
& asubq(X2,X0) ) )
& ( ! [X1] :
( ~ aal5(X1)
| asubq(X0,X1)
| ~ asubq(X1,X0) )
| aal6(X0) ) ),
inference(rectify,[],[f104]) ).
fof(f106,plain,
! [X0] :
( ( ~ aal6(X0)
| ( aal5(sK0(X0))
& ~ asubq(X0,sK0(X0))
& asubq(sK0(X0),X0) ) )
& ( ! [X1] :
( ~ aal5(X1)
| asubq(X0,X1)
| ~ asubq(X1,X0) )
| aal6(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f105]) ).
fof(f107,plain,
! [X0] :
( ( ~ aex3(X0)
| ( ~ aal4(X0)
& aal3(X0) ) )
& ( aal4(X0)
| ~ aal3(X0)
| aex3(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f108,plain,
! [X0] :
( ( ~ aex3(X0)
| ( ~ aal4(X0)
& aal3(X0) ) )
& ( aal4(X0)
| ~ aal3(X0)
| aex3(X0) ) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ( ~ ain(X0,a3)
| X0 = a2
| X0 = a1
| X0 = a0 )
& ( ( a2 != X0
& a1 != X0
& a0 != X0 )
| ain(X0,a3) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f110,plain,
! [X0] :
( ( ~ ain(X0,a3)
| X0 = a2
| X0 = a1
| X0 = a0 )
& ( ( a2 != X0
& a1 != X0
& a0 != X0 )
| ain(X0,a3) ) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( ~ asubq(X1,X0)
| asubq(X0,X1)
| ( asubq(X1,asm(X0,asing(sK1(X0,X1))))
& ain(sK1(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f86]) ).
fof(f112,plain,
! [X0] :
( ~ aal6(X0)
| aal5(sK0(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f113,plain,
! [X0] :
( ~ aal6(X0)
| ~ asubq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f114,plain,
! [X0] :
( ~ aal6(X0)
| asubq(sK0(X0),X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aal5(X1)
| asubq(X0,X1)
| ~ asubq(X1,X0)
| aal6(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f116,plain,
! [X0] :
( ~ aex3(X0)
| ~ aal4(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f117,plain,
! [X0] :
( ~ aex3(X0)
| aal3(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f118,plain,
! [X0] :
( aal4(X0)
| ~ aal3(X0)
| aex3(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f119,plain,
! [X0] :
( ~ ain(X0,a3)
| a2 = X0
| a1 = X0
| a0 = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f120,plain,
! [X0] :
( a2 != X0
| ain(X0,a3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f121,plain,
! [X0] :
( a1 != X0
| ain(X0,a3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f122,plain,
! [X0] :
( a0 != X0
| ain(X0,a3) ),
inference(cnf_transformation,[],[f110]) ).
fof(f123,plain,
! [X0,X1] :
( ~ ain(X1,apow(X0))
| asubq(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ ain(X2,asm(X0,X1))
| ~ ain(X2,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f125,plain,
! [X0] : ain(X0,apow(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f126,plain,
! [X0,X1] :
( ~ asubq(X1,X0)
| asubq(X0,X1)
| asubq(X1,asm(X0,asing(sK1(X0,X1)))) ),
inference(cnf_transformation,[],[f111]) ).
fof(f127,plain,
! [X0,X1] :
( ~ asubq(X1,X0)
| asubq(X0,X1)
| ain(sK1(X0,X1),X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f128,plain,
! [X0,X1] :
( aal6(X0)
| ~ aal7(aun(X0,asing(X1))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f129,plain,
! [X2,X0,X1] :
( ~ ain(X2,aun(X0,X1))
| ~ aal4(asm(aun(X0,X1),asing(X2)))
| aal3(X1)
| aal3(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f130,plain,
~ ain(a0,a0),
inference(cnf_transformation,[],[f10]) ).
fof(f131,plain,
~ ain(a2,a2),
inference(cnf_transformation,[],[f11]) ).
fof(f132,plain,
~ asubq(a2,a0),
inference(cnf_transformation,[],[f12]) ).
fof(f133,plain,
a0 != asing(a1),
inference(cnf_transformation,[],[f13]) ).
fof(f134,plain,
~ ain(asing(asing(a1)),a2),
inference(cnf_transformation,[],[f14]) ).
fof(f135,plain,
~ ain(asm(a3,asing(a1)),a2),
inference(cnf_transformation,[],[f15]) ).
fof(f136,plain,
a2 != apow(asing(a1)),
inference(cnf_transformation,[],[f16]) ).
fof(f137,plain,
asing(asing(a1)) != apow(asing(a1)),
inference(cnf_transformation,[],[f17]) ).
fof(f138,plain,
asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))),
inference(cnf_transformation,[],[f18]) ).
fof(f139,plain,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))),
inference(cnf_transformation,[],[f19]) ).
fof(f140,plain,
a2 != asing(a2),
inference(cnf_transformation,[],[f20]) ).
fof(f141,plain,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))),
inference(cnf_transformation,[],[f21]) ).
fof(f142,plain,
apow(a2) != asm(apow(a2),apow(asing(a2))),
inference(cnf_transformation,[],[f22]) ).
fof(f143,plain,
ain(asing(asing(a1)),asing(asing(asing(a1)))),
inference(cnf_transformation,[],[f23]) ).
fof(f144,plain,
ain(a0,apow(asing(asing(a1)))),
inference(cnf_transformation,[],[f24]) ).
fof(f145,plain,
ain(a0,apow(apow(asing(a1)))),
inference(cnf_transformation,[],[f25]) ).
fof(f146,plain,
~ ain(asing(asing(a1)),asing(apow(asing(a1)))),
inference(cnf_transformation,[],[f26]) ).
fof(f147,plain,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
inference(cnf_transformation,[],[f27]) ).
fof(f148,plain,
ain(a0,apow(aun(asing(a1),asing(asing(a1))))),
inference(cnf_transformation,[],[f28]) ).
fof(f149,plain,
ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))),
inference(cnf_transformation,[],[f29]) ).
fof(f150,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))),
inference(cnf_transformation,[],[f30]) ).
fof(f151,plain,
ain(a2,asm(a4,asing(a1))),
inference(cnf_transformation,[],[f31]) ).
fof(f152,plain,
~ ain(a1,asing(a3)),
inference(cnf_transformation,[],[f32]) ).
fof(f153,plain,
~ ain(asm(apow(a2),a2),a4),
inference(cnf_transformation,[],[f33]) ).
fof(f154,plain,
~ ain(a1,aun(asing(asing(a1)),asing(a3))),
inference(cnf_transformation,[],[f34]) ).
fof(f155,plain,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
inference(cnf_transformation,[],[f35]) ).
fof(f156,plain,
~ ain(asing(a1),aun(asing(asing(a2)),a4)),
inference(cnf_transformation,[],[f36]) ).
fof(f157,plain,
ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))),
inference(cnf_transformation,[],[f37]) ).
fof(f158,plain,
~ ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))),
inference(cnf_transformation,[],[f38]) ).
fof(f159,plain,
~ ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))),
inference(cnf_transformation,[],[f39]) ).
fof(f160,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
inference(cnf_transformation,[],[f40]) ).
fof(f161,plain,
ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
inference(cnf_transformation,[],[f41]) ).
fof(f162,plain,
ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))),
inference(cnf_transformation,[],[f42]) ).
fof(f163,plain,
! [X0] :
( ~ asubq(X0,aun(asing(a1),asing(asing(a1))))
| ain(asing(a1),X0)
| ~ ain(a1,X0)
| asing(a1) = X0 ),
inference(cnf_transformation,[],[f91]) ).
fof(f164,plain,
! [X0] :
( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
| asing(asing(a1)) = X0
| asing(a1) = X0
| a1 = X0
| a0 = X0 ),
inference(cnf_transformation,[],[f93]) ).
fof(f165,plain,
! [X0] :
( ~ ain(X0,asm(a4,asing(a1)))
| a3 = X0
| a2 = X0
| a0 = X0 ),
inference(cnf_transformation,[],[f95]) ).
fof(f166,plain,
! [X0] :
( ~ ain(X0,asm(a4,apow(asing(a2))))
| a3 = X0
| a2 = X0
| a1 = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f167,plain,
~ asubq(aun(asing(apow(asing(a1))),a4),a4),
inference(cnf_transformation,[],[f47]) ).
fof(f168,plain,
~ asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
inference(cnf_transformation,[],[f48]) ).
fof(f169,plain,
asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))),
inference(cnf_transformation,[],[f49]) ).
fof(f170,plain,
~ asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)),
inference(cnf_transformation,[],[f50]) ).
fof(f171,plain,
asubq(a1,asm(a2,asing(a1))),
inference(cnf_transformation,[],[f51]) ).
fof(f172,plain,
asubq(a2,asm(a3,asing(a2))),
inference(cnf_transformation,[],[f52]) ).
fof(f173,plain,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
inference(cnf_transformation,[],[f53]) ).
fof(f174,plain,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
inference(cnf_transformation,[],[f54]) ).
fof(f175,plain,
aun(asing(a1),asing(asing(a1))) = asm(asm(apow(a2),apow(asing(a2))),asing(a2)),
inference(cnf_transformation,[],[f55]) ).
fof(f176,plain,
asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))),
inference(cnf_transformation,[],[f56]) ).
fof(f177,plain,
asm(a3,asing(a1)) = asm(asm(a4,asing(a1)),asing(a3)),
inference(cnf_transformation,[],[f57]) ).
fof(f178,plain,
a3 = aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2)))),
inference(cnf_transformation,[],[f58]) ).
fof(f179,plain,
! [X0] :
( ~ ain(X0,aun(apow(a2),asing(asing(a2))))
| ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(X0,asing(apow(a2))) ),
inference(cnf_transformation,[],[f99]) ).
fof(f180,plain,
aun(asing(a2),apow(asing(a2))) = aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
inference(cnf_transformation,[],[f60]) ).
fof(f181,plain,
~ aal2(asing(a3)),
inference(cnf_transformation,[],[f61]) ).
fof(f182,plain,
! [X0] :
( ~ ain(X0,a2)
| ~ aal2(asm(a2,asing(X0))) ),
inference(cnf_transformation,[],[f100]) ).
fof(f183,plain,
! [X0] :
( ~ ain(X0,aun(apow(asing(a2)),asing(apow(a2))))
| ~ aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X0))) ),
inference(cnf_transformation,[],[f101]) ).
fof(f184,plain,
aal2(asm(a4,a2)),
inference(cnf_transformation,[],[f64]) ).
fof(f185,plain,
aal3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
inference(cnf_transformation,[],[f65]) ).
fof(f186,plain,
aal3(asm(a4,asing(a2))),
inference(cnf_transformation,[],[f66]) ).
fof(f187,plain,
aal3(aun(a2,asing(apow(a2)))),
inference(cnf_transformation,[],[f67]) ).
fof(f188,plain,
aal4(apow(a2)),
inference(cnf_transformation,[],[f68]) ).
fof(f189,plain,
aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))),
inference(cnf_transformation,[],[f69]) ).
fof(f190,plain,
aal5(aun(apow(a2),asing(asing(a2)))),
inference(cnf_transformation,[],[f70]) ).
fof(f191,plain,
aex2(aun(asing(a1),asing(asing(a1)))),
inference(cnf_transformation,[],[f71]) ).
fof(f192,plain,
aex2(asm(a3,asing(a1))),
inference(cnf_transformation,[],[f72]) ).
fof(f193,plain,
aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))),
inference(cnf_transformation,[],[f73]) ).
fof(f194,plain,
aex3(aun(a2,asing(apow(a2)))),
inference(cnf_transformation,[],[f74]) ).
fof(f195,plain,
! [X0] :
( ~ ain(X0,a3)
| ~ ain(X0,apow(asm(a3,asing(a1))))
| ~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X0))) ),
inference(cnf_transformation,[],[f103]) ).
fof(f196,plain,
~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))),
inference(cnf_transformation,[],[f76]) ).
fof(f197,plain,
aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
inference(cnf_transformation,[],[f77]) ).
fof(f198,plain,
aex5(aun(a4,asing(apow(a2)))),
inference(cnf_transformation,[],[f78]) ).
fof(f199,plain,
asubq(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
inference(cnf_transformation,[],[f79]) ).
fof(f200,plain,
~ aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))),
inference(cnf_transformation,[],[f82]) ).
fof(f201,plain,
ain(a0,a3),
inference(equality_resolution,[],[f122]) ).
fof(f202,plain,
ain(a1,a3),
inference(equality_resolution,[],[f121]) ).
fof(f203,plain,
ain(a2,a3),
inference(equality_resolution,[],[f120]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( aal6(X1)
| asubq(X1,X0)
| ~ aal5(X0)
| ~ asubq(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_50,plain,
! [X0: $i] :
( asubq(sK0(X0),X0)
| ~ aal6(X0) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ aal6(X0)
| ~ asubq(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_52,plain,
! [X0: $i] :
( aal5(sK0(X0))
| ~ aal6(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_53,plain,
! [X0: $i] :
( aal4(X0)
| aex3(X0)
| ~ aal3(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_54,plain,
! [X0: $i] :
( aal3(X0)
| ~ aex3(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_55,plain,
! [X0: $i] :
( ~ aal4(X0)
| ~ aex3(X0) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_56,plain,
ain(a0,a3),
inference(cnf_transformation,[],[f201]) ).
tcf(c_57,plain,
ain(a1,a3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_58,plain,
ain(a2,a3),
inference(cnf_transformation,[],[f203]) ).
tcf(c_59,plain,
! [X0: $i] :
( ( X0 = a2 )
| ( X0 = a1 )
| ( X0 = a0 )
| ~ ain(X0,a3) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( asubq(X0,X1)
| ~ ain(X0,apow(X1)) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ain(X0,X2)
| ~ ain(X0,asm(X1,X2)) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_62,plain,
! [X0: $i] : ain(X0,apow(X0)),
inference(cnf_transformation,[],[f125]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( asubq(X1,X0)
| ain(sK1(X1,X0),X1)
| ~ asubq(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( asubq(X1,X0)
| asubq(X0,asm(X1,asing(sK1(X1,X0))))
| ~ asubq(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( aal6(X0)
| ~ aal7(aun(X0,asing(X1))) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( aal3(X1)
| aal3(X0)
| ~ ain(X2,aun(X0,X1))
| ~ aal4(asm(aun(X0,X1),asing(X2))) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_67,plain,
~ ain(a0,a0),
inference(cnf_transformation,[],[f130]) ).
tcf(c_68,plain,
~ ain(a2,a2),
inference(cnf_transformation,[],[f131]) ).
tcf(c_69,plain,
~ asubq(a2,a0),
inference(cnf_transformation,[],[f132]) ).
tcf(c_70,plain,
asing(a1) != a0,
inference(cnf_transformation,[],[f133]) ).
tcf(c_71,plain,
~ ain(asing(asing(a1)),a2),
inference(cnf_transformation,[],[f134]) ).
tcf(c_72,plain,
~ ain(asm(a3,asing(a1)),a2),
inference(cnf_transformation,[],[f135]) ).
tcf(c_73,plain,
apow(asing(a1)) != a2,
inference(cnf_transformation,[],[f136]) ).
tcf(c_74,plain,
apow(asing(a1)) != asing(asing(a1)),
inference(cnf_transformation,[],[f137]) ).
tcf(c_75,plain,
asubq(aun(asing(a1),asing(asing(a1))),asm(apow(a2),asing(a2))),
inference(cnf_transformation,[],[f138]) ).
tcf(c_76,plain,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a2))),
inference(cnf_transformation,[],[f139]) ).
tcf(c_77,plain,
asing(a2) != a2,
inference(cnf_transformation,[],[f140]) ).
tcf(c_78,plain,
~ ain(asm(apow(a2),apow(asing(a2))),asm(apow(a2),asing(a1))),
inference(cnf_transformation,[],[f141]) ).
tcf(c_79,plain,
asm(apow(a2),apow(asing(a2))) != apow(a2),
inference(cnf_transformation,[],[f142]) ).
tcf(c_80,plain,
ain(asing(asing(a1)),asing(asing(asing(a1)))),
inference(cnf_transformation,[],[f143]) ).
tcf(c_81,plain,
ain(a0,apow(asing(asing(a1)))),
inference(cnf_transformation,[],[f144]) ).
tcf(c_82,plain,
ain(a0,apow(apow(asing(a1)))),
inference(cnf_transformation,[],[f145]) ).
tcf(c_83,plain,
~ ain(asing(asing(a1)),asing(apow(asing(a1)))),
inference(cnf_transformation,[],[f146]) ).
tcf(c_84,plain,
ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
inference(cnf_transformation,[],[f147]) ).
tcf(c_85,plain,
ain(a0,apow(aun(asing(a1),asing(asing(a1))))),
inference(cnf_transformation,[],[f148]) ).
tcf(c_86,plain,
ain(asing(asing(a1)),aun(asm(apow(a2),a2),apow(asing(asing(a1))))),
inference(cnf_transformation,[],[f149]) ).
tcf(c_87,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a2))),asing(asing(asing(a1))))),
inference(cnf_transformation,[],[f150]) ).
tcf(c_88,plain,
ain(a2,asm(a4,asing(a1))),
inference(cnf_transformation,[],[f151]) ).
tcf(c_89,plain,
~ ain(a1,asing(a3)),
inference(cnf_transformation,[],[f152]) ).
tcf(c_90,plain,
~ ain(asm(apow(a2),a2),a4),
inference(cnf_transformation,[],[f153]) ).
tcf(c_91,plain,
~ ain(a1,aun(asing(asing(a1)),asing(a3))),
inference(cnf_transformation,[],[f154]) ).
tcf(c_92,plain,
ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
inference(cnf_transformation,[],[f155]) ).
tcf(c_93,plain,
~ ain(asing(a1),aun(asing(asing(a2)),a4)),
inference(cnf_transformation,[],[f156]) ).
tcf(c_94,plain,
ain(a2,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))),
inference(cnf_transformation,[],[f157]) ).
tcf(c_95,plain,
~ ain(asm(apow(a2),a2),aun(asing(asing(a1)),aun(asing(asing(a2)),a4))),
inference(cnf_transformation,[],[f158]) ).
tcf(c_96,plain,
~ ain(asm(a3,asing(a1)),aun(apow(asing(a2)),asing(apow(a2)))),
inference(cnf_transformation,[],[f159]) ).
tcf(c_97,plain,
ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
inference(cnf_transformation,[],[f160]) ).
tcf(c_98,plain,
ain(a2,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
inference(cnf_transformation,[],[f161]) ).
tcf(c_99,plain,
ain(a1,aun(asing(asing(a1)),aun(a4,asing(apow(a2))))),
inference(cnf_transformation,[],[f162]) ).
tcf(c_100,plain,
! [X0: $i] :
( ain(asing(a1),X0)
| ( asing(a1) = X0 )
| ~ ain(a1,X0)
| ~ asubq(X0,aun(asing(a1),asing(asing(a1)))) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_101,plain,
! [X0: $i] :
( ( X0 = a1 )
| ( X0 = a0 )
| ( asing(a1) = X0 )
| ( asing(asing(a1)) = X0 )
| ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_102,plain,
! [X0: $i] :
( ( X0 = a2 )
| ( X0 = a3 )
| ( X0 = a0 )
| ~ ain(X0,asm(a4,asing(a1))) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( X0 = a2 )
| ( X0 = a1 )
| ( X0 = a3 )
| ~ ain(X0,asm(a4,apow(asing(a2)))) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_104,plain,
~ asubq(aun(asing(apow(asing(a1))),a4),a4),
inference(cnf_transformation,[],[f167]) ).
tcf(c_105,plain,
~ asubq(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
inference(cnf_transformation,[],[f168]) ).
tcf(c_106,plain,
asubq(apow(a2),aun(asing(asing(a1)),aun(a4,asing(apow(a2))))),
inference(cnf_transformation,[],[f169]) ).
tcf(c_107,plain,
~ asubq(aun(asing(asing(a1)),aun(asing(asing(a2)),a4)),aun(asing(asing(a2)),a4)),
inference(cnf_transformation,[],[f170]) ).
tcf(c_108,plain,
asubq(a1,asm(a2,asing(a1))),
inference(cnf_transformation,[],[f171]) ).
tcf(c_109,plain,
asubq(a2,asm(a3,asing(a2))),
inference(cnf_transformation,[],[f172]) ).
tcf(c_110,plain,
asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
inference(cnf_transformation,[],[f173]) ).
tcf(c_111,plain,
asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
inference(cnf_transformation,[],[f174]) ).
tcf(c_112,plain,
asm(asm(apow(a2),apow(asing(a2))),asing(a2)) = aun(asing(a1),asing(asing(a1))),
inference(cnf_transformation,[],[f175]) ).
tcf(c_113,plain,
asubq(aun(asing(a1),asing(a3)),asm(asm(a4,asing(a2)),asing(a0))),
inference(cnf_transformation,[],[f176]) ).
tcf(c_114,plain,
asm(asm(a4,asing(a1)),asing(a3)) = asm(a3,asing(a1)),
inference(cnf_transformation,[],[f177]) ).
tcf(c_115,plain,
aint(aun(apow(a2),asing(asing(a2))),aun(a4,asing(asm(apow(a2),a2)))) = a3,
inference(cnf_transformation,[],[f178]) ).
tcf(c_116,plain,
! [X0: $i] :
( ~ ain(X0,asing(apow(a2)))
| ~ ain(X0,aun(apow(a2),asing(asing(a2))))
| ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2))))) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_117,plain,
aint(aun(aun(asing(a2),apow(asing(a2))),asing(asm(a3,asing(a1)))),aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))) = aun(asing(a2),apow(asing(a2))),
inference(cnf_transformation,[],[f180]) ).
tcf(c_118,plain,
~ aal2(asing(a3)),
inference(cnf_transformation,[],[f181]) ).
tcf(c_119,plain,
! [X0: $i] :
( ~ ain(X0,a2)
| ~ aal2(asm(a2,asing(X0))) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_120,plain,
! [X0: $i] :
( ~ ain(X0,aun(apow(asing(a2)),asing(apow(a2))))
| ~ aal3(asm(aun(apow(asing(a2)),asing(apow(a2))),asing(X0))) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_121,plain,
aal2(asm(a4,a2)),
inference(cnf_transformation,[],[f184]) ).
tcf(c_122,plain,
aal3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
inference(cnf_transformation,[],[f185]) ).
tcf(c_123,plain,
aal3(asm(a4,asing(a2))),
inference(cnf_transformation,[],[f186]) ).
tcf(c_124,plain,
aal3(aun(a2,asing(apow(a2)))),
inference(cnf_transformation,[],[f187]) ).
tcf(c_125,plain,
aal4(apow(a2)),
inference(cnf_transformation,[],[f188]) ).
tcf(c_126,plain,
aal4(aun(asm(apow(a2),asing(a2)),asing(asm(apow(a2),apow(asing(a2)))))),
inference(cnf_transformation,[],[f189]) ).
tcf(c_127,plain,
aal5(aun(apow(a2),asing(asing(a2)))),
inference(cnf_transformation,[],[f190]) ).
tcf(c_128,plain,
aex2(aun(asing(a1),asing(asing(a1)))),
inference(cnf_transformation,[],[f191]) ).
tcf(c_129,plain,
aex2(asm(a3,asing(a1))),
inference(cnf_transformation,[],[f192]) ).
tcf(c_130,plain,
aex2(aint(aun(apow(a2),asing(asing(a2))),asm(a4,asing(a1)))),
inference(cnf_transformation,[],[f193]) ).
tcf(c_131,plain,
aex3(aun(a2,asing(apow(a2)))),
inference(cnf_transformation,[],[f194]) ).
tcf(c_132,plain,
! [X0: $i] :
( ~ ain(X0,a3)
| ~ ain(X0,apow(asm(a3,asing(a1))))
| ~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(X0))) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_133,plain,
~ aal3(asm(aint(aun(a3,asing(asm(a3,asing(a1)))),apow(asm(a3,asing(a1)))),asing(asm(a3,asing(a1))))),
inference(cnf_transformation,[],[f196]) ).
tcf(c_134,plain,
aex5(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
inference(cnf_transformation,[],[f197]) ).
tcf(c_135,plain,
aex5(aun(a4,asing(apow(a2)))),
inference(cnf_transformation,[],[f198]) ).
tcf(c_136,plain,
asubq(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
inference(cnf_transformation,[],[f199]) ).
tcf(c_137,negated_conjecture,
~ aex4(aint(aun(apow(a2),asing(asing(a2))),aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))),
inference(cnf_transformation,[],[f200]) ).
tcf(c_189,plain,
~ aal4(aun(a2,asing(apow(a2)))),
inference(superposition,[status(thm)],[c_131,c_55]) ).
tcf(c_201,plain,
( aal4(asm(a4,asing(a2)))
| aex3(asm(a4,asing(a2))) ),
inference(superposition,[status(thm)],[c_123,c_53]) ).
tcf(c_213,plain,
! [X0: $i] : asubq(X0,X0),
inference(superposition,[status(thm)],[c_62,c_60]) ).
tcf(c_214,plain,
asubq(a0,asing(asing(a1))),
inference(superposition,[status(thm)],[c_81,c_60]) ).
tcf(c_215,plain,
asubq(a0,apow(asing(a1))),
inference(superposition,[status(thm)],[c_82,c_60]) ).
tcf(c_221,plain,
asubq(a0,aun(asing(a1),asing(asing(a1)))),
inference(superposition,[status(thm)],[c_85,c_60]) ).
tcf(c_226,plain,
~ ain(a2,asing(a1)),
inference(superposition,[status(thm)],[c_88,c_61]) ).
tcf(c_237,plain,
! [X0: $i] :
( ~ ain(X0,asing(a2))
| ~ ain(X0,aun(asing(a1),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_112,c_61]) ).
tcf(c_250,plain,
( aal6(asm(a2,asing(a1)))
| asubq(asm(a2,asing(a1)),a1)
| ~ aal5(a1) ),
inference(superposition,[status(thm)],[c_108,c_49]) ).
tcf(c_251,plain,
( aal6(asm(a3,asing(a2)))
| asubq(asm(a3,asing(a2)),a2)
| ~ aal5(a2) ),
inference(superposition,[status(thm)],[c_109,c_49]) ).
tcf(c_252,plain,
( aal6(asing(a2))
| asubq(asing(a2),asm(asm(apow(a2),a2),asing(asing(a1))))
| ~ aal5(asm(asm(apow(a2),a2),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_110,c_49]) ).
tcf(c_253,plain,
( aal6(asing(asing(a1)))
| asubq(asing(asing(a1)),asm(asm(apow(a2),a2),asing(a2)))
| ~ aal5(asm(asm(apow(a2),a2),asing(a2))) ),
inference(superposition,[status(thm)],[c_111,c_49]) ).
tcf(c_255,plain,
( aal6(asing(asing(a1)))
| asubq(asing(asing(a1)),a0)
| ~ aal5(a0) ),
inference(superposition,[status(thm)],[c_214,c_49]) ).
tcf(c_256,plain,
( aal6(apow(asing(a1)))
| asubq(apow(asing(a1)),a0)
| ~ aal5(a0) ),
inference(superposition,[status(thm)],[c_215,c_49]) ).
tcf(c_257,plain,
( aal6(aun(asing(a1),asing(asing(a1))))
| asubq(aun(asing(a1),asing(asing(a1))),a0)
| ~ aal5(a0) ),
inference(superposition,[status(thm)],[c_221,c_49]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i] :
( asubq(apow(X1),X0)
| asubq(sK1(apow(X1),X0),X1)
| ~ asubq(X0,apow(X1)) ),
inference(superposition,[status(thm)],[c_63,c_60]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i,X2: $i] :
( asubq(asm(X0,X1),X2)
| ~ asubq(X2,asm(X0,X1))
| ~ ain(sK1(asm(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_63,c_61]) ).
tcf(c_295,plain,
( aal6(asm(apow(a2),asing(a2)))
| asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1))))
| ~ aal5(aun(asing(a1),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_75,c_49]) ).
tcf(c_299,plain,
( aal6(aun(asing(asing(a1)),aun(a4,asing(apow(a2)))))
| asubq(aun(asing(asing(a1)),aun(a4,asing(apow(a2)))),apow(a2))
| ~ aal5(apow(a2)) ),
inference(superposition,[status(thm)],[c_106,c_49]) ).
tcf(c_317,plain,
~ ain(a1,asm(apow(a2),asing(a1))),
inference(superposition,[status(thm)],[c_92,c_61]) ).
tcf(c_318,plain,
! [X0: $i] :
( ~ ain(X0,asing(a3))
| ~ ain(X0,asm(a3,asing(a1))) ),
inference(superposition,[status(thm)],[c_114,c_61]) ).
tcf(c_322,plain,
( aal6(asm(asm(a4,asing(a2)),asing(a0)))
| asubq(asm(asm(a4,asing(a2)),asing(a0)),aun(asing(a1),asing(a3)))
| ~ aal5(aun(asing(a1),asing(a3))) ),
inference(superposition,[status(thm)],[c_113,c_49]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( asubq(X1,X0)
| aal6(asm(X1,asing(sK1(X1,X0))))
| asubq(asm(X1,asing(sK1(X1,X0))),X0)
| ~ aal5(X0)
| ~ asubq(X0,X1) ),
inference(superposition,[status(thm)],[c_64,c_49]) ).
tcf(c_342,plain,
! [X0: $i] :
( asubq(asm(a3,asing(a1)),X0)
| ~ asubq(X0,asm(a3,asing(a1)))
| ~ ain(sK1(asm(a3,asing(a1)),X0),asing(a3)) ),
inference(superposition,[status(thm)],[c_63,c_318]) ).
tcf(c_351,plain,
! [X0: $i] :
( asubq(aun(asing(a1),asing(asing(a1))),X0)
| ~ asubq(X0,aun(asing(a1),asing(asing(a1))))
| ~ ain(sK1(aun(asing(a1),asing(asing(a1))),X0),asing(a2)) ),
inference(superposition,[status(thm)],[c_63,c_237]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( aal6(X0)
| asubq(apow(X0),X1)
| asubq(X0,sK1(apow(X0),X1))
| ~ asubq(X1,apow(X0))
| ~ aal5(sK1(apow(X0),X1)) ),
inference(superposition,[status(thm)],[c_285,c_49]) ).
tcf(c_394,plain,
! [X0: $i] :
( asubq(a3,X0)
| ( sK1(a3,X0) = a2 )
| ( sK1(a3,X0) = a1 )
| ( sK1(a3,X0) = a0 )
| ~ asubq(X0,a3) ),
inference(superposition,[status(thm)],[c_63,c_59]) ).
tcf(c_401,plain,
( aal4(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
| aex3(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ),
inference(superposition,[status(thm)],[c_122,c_53]) ).
tcf(c_420,plain,
! [X0: $i] :
( asubq(asm(a4,asing(a1)),X0)
| ( sK1(asm(a4,asing(a1)),X0) = a2 )
| ( sK1(asm(a4,asing(a1)),X0) = a3 )
| ( sK1(asm(a4,asing(a1)),X0) = a0 )
| ~ asubq(X0,asm(a4,asing(a1))) ),
inference(superposition,[status(thm)],[c_63,c_102]) ).
tcf(c_436,plain,
! [X0: $i] :
( asubq(asm(a4,apow(asing(a2))),X0)
| ( sK1(asm(a4,apow(asing(a2))),X0) = a2 )
| ( sK1(asm(a4,apow(asing(a2))),X0) = a1 )
| ( sK1(asm(a4,apow(asing(a2))),X0) = a3 )
| ~ asubq(X0,asm(a4,apow(asing(a2)))) ),
inference(superposition,[status(thm)],[c_63,c_103]) ).
tcf(c_451,plain,
( ain(asing(a1),sK0(aun(asing(a1),asing(asing(a1)))))
| ( sK0(aun(asing(a1),asing(asing(a1)))) = asing(a1) )
| ~ aal6(aun(asing(a1),asing(asing(a1))))
| ~ ain(a1,sK0(aun(asing(a1),asing(asing(a1))))) ),
inference(superposition,[status(thm)],[c_50,c_100]) ).
tcf(c_452,plain,
( ain(asing(a1),aun(asing(a1),asing(asing(a1))))
| ( aun(asing(a1),asing(asing(a1))) = asing(a1) )
| ~ ain(a1,aun(asing(a1),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_213,c_100]) ).
tcf(c_453,plain,
( ain(asing(a1),a0)
| ( asing(a1) = a0 )
| ~ ain(a1,a0) ),
inference(superposition,[status(thm)],[c_221,c_100]) ).
tcf(c_454,plain,
! [X0: $i] :
( asubq(apow(aun(asing(a1),asing(asing(a1)))),X0)
| ain(asing(a1),sK1(apow(aun(asing(a1),asing(asing(a1)))),X0))
| ( sK1(apow(aun(asing(a1),asing(asing(a1)))),X0) = asing(a1) )
| ~ asubq(X0,apow(aun(asing(a1),asing(asing(a1)))))
| ~ ain(a1,sK1(apow(aun(asing(a1),asing(asing(a1)))),X0)) ),
inference(superposition,[status(thm)],[c_285,c_100]) ).
tcf(c_455,plain,
( ain(asing(a1),a0)
| ~ ain(a1,a0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_453,c_70]) ).
tcf(c_545,plain,
! [X0: $i] :
( asubq(X0,aun(asing(a1),asing(asing(a1))))
| aal6(asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1)))))))
| ain(asing(a1),asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1)))))))
| ( asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1)))))) = asing(a1) )
| ~ aal5(aun(asing(a1),asing(asing(a1))))
| ~ asubq(aun(asing(a1),asing(asing(a1))),X0)
| ~ ain(a1,asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1))))))) ),
inference(superposition,[status(thm)],[c_332,c_100]) ).
tcf(c_571,plain,
( asubq(a3,sK0(a3))
| ( sK1(a3,sK0(a3)) = a2 )
| ( sK1(a3,sK0(a3)) = a1 )
| ( sK1(a3,sK0(a3)) = a0 )
| ~ aal6(a3) ),
inference(superposition,[status(thm)],[c_50,c_394]) ).
tcf(c_573,plain,
! [X0: $i] :
( asubq(apow(a3),X0)
| asubq(a3,sK1(apow(a3),X0))
| ( sK1(a3,sK1(apow(a3),X0)) = a2 )
| ( sK1(a3,sK1(apow(a3),X0)) = a1 )
| ( sK1(a3,sK1(apow(a3),X0)) = a0 )
| ~ asubq(X0,apow(a3)) ),
inference(superposition,[status(thm)],[c_285,c_394]) ).
tcf(c_603,plain,
( aal6(asm(apow(a2),asing(a2)))
| ain(asing(a1),asm(apow(a2),asing(a2)))
| ( asm(apow(a2),asing(a2)) = asing(a1) )
| ~ ain(a1,asm(apow(a2),asing(a2)))
| ~ aal5(aun(asing(a1),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_295,c_100]) ).
tcf(c_609,plain,
( aal6(asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))))
| asubq(asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))),asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0)))
| ~ aal5(asm(aint(aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))),aun(asing(asing(a2)),a4)),asing(a0))) ),
inference(superposition,[status(thm)],[c_136,c_49]) ).
tcf(c_619,plain,
! [X0: $i] :
( asubq(aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))),X0)
| ~ asubq(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
| ~ ain(sK1(aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))),X0),asing(apow(a2)))
| ~ ain(sK1(aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))),X0),aun(apow(a2),asing(asing(a2)))) ),
inference(superposition,[status(thm)],[c_63,c_116]) ).
tcf(c_641,plain,
! [X0: $i] :
( asubq(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0)
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0) = a1 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0) = a0 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0) = asing(a1) )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),X0) = asing(asing(a1)) )
| ~ asubq(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(superposition,[status(thm)],[c_63,c_101]) ).
tcf(c_669,plain,
( ( aun(asing(a1),asing(asing(a1))) = asing(a1) )
| ~ ain(asing(a1),asing(a2))
| ~ ain(a1,aun(asing(a1),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_452,c_237]) ).
tcf(c_684,plain,
( ( sK1(a3,sK0(a3)) = a2 )
| ( sK1(a3,sK0(a3)) = a1 )
| ( sK1(a3,sK0(a3)) = a0 )
| ~ aal6(a3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_571,c_51]) ).
tcf(c_727,plain,
( aal6(asm(apow(a2),asing(a2)))
| ( asm(apow(a2),asing(a2)) = asing(a1) )
| ~ ain(asing(a1),asing(a2))
| ~ ain(a1,asm(apow(a2),asing(a2)))
| ~ aal5(aun(asing(a1),asing(asing(a1)))) ),
inference(superposition,[status(thm)],[c_603,c_61]) ).
tcf(c_753,plain,
( asubq(asm(a4,asing(a1)),sK0(asm(a4,asing(a1))))
| ( sK1(asm(a4,asing(a1)),sK0(asm(a4,asing(a1)))) = a2 )
| ( sK1(asm(a4,asing(a1)),sK0(asm(a4,asing(a1)))) = a3 )
| ( sK1(asm(a4,asing(a1)),sK0(asm(a4,asing(a1)))) = a0 )
| ~ aal6(asm(a4,asing(a1))) ),
inference(superposition,[status(thm)],[c_50,c_420]) ).
tcf(c_755,plain,
! [X0: $i] :
( asubq(apow(asm(a4,asing(a1))),X0)
| asubq(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0))
| ( sK1(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0)) = a2 )
| ( sK1(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0)) = a3 )
| ( sK1(asm(a4,asing(a1)),sK1(apow(asm(a4,asing(a1))),X0)) = a0 )
| ~ asubq(X0,apow(asm(a4,asing(a1)))) ),
inference(superposition,[status(thm)],[c_285,c_420]) ).
tcf(c_788,plain,
( asubq(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2)))))
| ( sK1(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2))))) = a2 )
| ( sK1(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2))))) = a1 )
| ( sK1(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2))))) = a3 )
| ~ aal6(asm(a4,apow(asing(a2)))) ),
inference(superposition,[status(thm)],[c_50,c_436]) ).
tcf(c_790,plain,
! [X0: $i] :
( asubq(apow(asm(a4,apow(asing(a2)))),X0)
| asubq(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0))
| ( sK1(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0)) = a2 )
| ( sK1(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0)) = a1 )
| ( sK1(asm(a4,apow(asing(a2))),sK1(apow(asm(a4,apow(asing(a2)))),X0)) = a3 )
| ~ asubq(X0,apow(asm(a4,apow(asing(a2))))) ),
inference(superposition,[status(thm)],[c_285,c_436]) ).
tcf(c_818,plain,
( ( sK1(asm(a4,asing(a1)),sK0(asm(a4,asing(a1)))) = a2 )
| ( sK1(asm(a4,asing(a1)),sK0(asm(a4,asing(a1)))) = a3 )
| ( sK1(asm(a4,asing(a1)),sK0(asm(a4,asing(a1)))) = a0 )
| ~ aal6(asm(a4,asing(a1))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_753,c_51]) ).
tcf(c_854,plain,
( ( sK1(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2))))) = a2 )
| ( sK1(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2))))) = a1 )
| ( sK1(asm(a4,apow(asing(a2))),sK0(asm(a4,apow(asing(a2))))) = a3 )
| ~ aal6(asm(a4,apow(asing(a2)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_788,c_51]) ).
tcf(c_932,plain,
! [X0: $i] :
( asubq(X0,aun(asing(a1),asing(asing(a1))))
| aal6(asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1)))))))
| ( asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1)))))) = asing(a1) )
| ~ aal5(aun(asing(a1),asing(asing(a1))))
| ~ asubq(aun(asing(a1),asing(asing(a1))),X0)
| ~ ain(asing(a1),asing(sK1(X0,aun(asing(a1),asing(asing(a1))))))
| ~ ain(a1,asm(X0,asing(sK1(X0,aun(asing(a1),asing(asing(a1))))))) ),
inference(superposition,[status(thm)],[c_545,c_61]) ).
tcf(c_989,plain,
( asubq(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))))
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = a1 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = a0 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = asing(a1) )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = asing(asing(a1)) )
| ~ aal6(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(superposition,[status(thm)],[c_50,c_641]) ).
tcf(c_991,plain,
! [X0: $i] :
( asubq(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0)
| asubq(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0))
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0)) = a1 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0)) = a0 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0)) = asing(a1) )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK1(apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))),X0)) = asing(asing(a1)) )
| ~ asubq(X0,apow(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) ),
inference(superposition,[status(thm)],[c_285,c_641]) ).
tcf(c_1023,plain,
( ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = a1 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = a0 )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = asing(a1) )
| ( sK1(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),sK0(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))) = asing(asing(a1)) )
| ~ aal6(aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1))))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_989,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO846+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.17/0.42 % Computer : n026.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 03:55:24 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
% 0.24/0.48 Running model finding
% 0.24/0.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.49
% 0.24/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.49
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 2.83/1.39 % SZS status Started for theBenchmark.p
% 2.83/1.39 % SZS status CounterSatisfiable for theBenchmark.p
% 2.83/1.39
% 2.83/1.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.83/1.39
% 2.83/1.39 ------ iProver source info
% 2.83/1.39
% 2.83/1.39 git: date: 2026-07-19 20:42:38 +0200
% 2.83/1.39 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.83/1.39 git: non_committed_changes: false
% 2.83/1.39
% 2.83/1.39 ------ Parsing...
% 2.83/1.39 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.83/1.39 ------ Proving...
% 2.83/1.39 ------ Problem Properties
% 2.83/1.39
% 2.83/1.39
% 2.83/1.39 clauses 89
% 2.83/1.39 conjectures 1
% 2.83/1.39 EPR 11
% 2.83/1.39 Horn 79
% 2.83/1.39 unary 67
% 2.83/1.39 binary 10
% 2.83/1.39 lits 131
% 2.83/1.39 lits eq 23
% 2.83/1.39 fd_pure 0
% 2.83/1.39 fd_pseudo 0
% 2.83/1.39 fd_cond 5
% 2.83/1.39 fd_pseudo_cond 0
% 2.83/1.39 AC symbols 0
% 2.83/1.39
% 2.83/1.39 ------ Schedule dynamic 5 is on
% 2.83/1.39
% 2.83/1.39 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.83/1.39
% 2.83/1.39
% 2.83/1.39 ------
% 2.83/1.39 Current options:
% 2.83/1.39 ------
% 2.83/1.39
% 2.83/1.39 ------ Input Options
% 2.83/1.39
% 2.83/1.39 --out_options all
% 2.83/1.39 --tptp_safe_out true
% 2.83/1.39 --problem_path ""
% 2.83/1.39 --include_path ""
% 2.83/1.39 --clausifier res/vclausify_rel
% 2.83/1.39 --clausifier_options --mode clausify -t 101.67 -updr off
% 2.83/1.39 --stdin false
% 2.83/1.39 --proof_out true
% 2.83/1.39 --proof_dot_file ""
% 2.83/1.39 --proof_reduce_dot []
% 2.83/1.39 --suppress_sat_res false
% 2.83/1.39 --suppress_unsat_res true
% 2.83/1.39 --stats_out none
% 2.83/1.39 --stats_mem false
% 2.83/1.39 --theory_stats_out false
% 2.83/1.39
% 2.83/1.39 ------ General Options
% 2.83/1.39
% 2.83/1.39 --fof false
% 2.83/1.39 --time_out_real 305.
% 2.83/1.39 --time_out_virtual -1.
% 2.83/1.39 --rnd_seed 13
% 2.83/1.39 --symbol_type_check false
% 2.83/1.39 --clausify_out false
% 2.83/1.39 --sig_cnt_out false
% 2.83/1.39 --trig_cnt_out false
% 2.83/1.39 --trig_cnt_out_tolerance 1.
% 2.83/1.39 --trig_cnt_out_sk_spl false
% 2.83/1.39 --abstr_cl_out false
% 2.83/1.39
% 2.83/1.39 ------ Interactive Mode
% 2.83/1.39
% 2.83/1.39 --interactive_mode false
% 2.83/1.39 --external_ip_address ""
% 2.83/1.39 --external_port 0
% 2.83/1.39
% 2.83/1.39 ------ Global Options
% 2.83/1.39
% 2.83/1.39 --schedule default
% 2.83/1.39 --add_important_lit false
% 2.83/1.39 --prop_solver_per_cl 500
% 2.83/1.39 --subs_bck_mult 8
% 2.83/1.39 --min_unsat_core false
% 2.83/1.39 --soft_assumptions false
% 2.83/1.39 --soft_lemma_size 3
% 2.83/1.39 --prop_impl_unit_size 0
% 2.83/1.39 --prop_impl_unit []
% 2.83/1.39 --share_sel_clauses true
% 2.83/1.39 --reset_solvers false
% 2.83/1.39 --bc_imp_inh [conj_cone]
% 2.83/1.39 --conj_cone_tolerance 3.
% 2.83/1.39 --extra_neg_conj none
% 2.83/1.39 --large_theory_mode true
% 2.83/1.39 --prolific_symb_bound 200
% 2.83/1.39 --lt_threshold 2000
% 2.83/1.39 --clause_weak_htbl true
% 2.83/1.39 --gc_record_bc_elim false
% 2.83/1.39
% 2.83/1.39 ------ Preprocessing Options
% 2.83/1.39
% 2.83/1.39 --preprocessing_flag false
% 2.83/1.39 --time_out_prep_mult 0.1
% 2.83/1.39 --splitting_mode input
% 2.83/1.39 --splitting_grd true
% 2.83/1.39 --splitting_cvd false
% 2.83/1.39 --splitting_cvd_svl false
% 2.83/1.39 --splitting_nvd 32
% 2.83/1.39 --sub_typing false
% 2.83/1.39 --prep_eq_flat_conj false
% 2.83/1.39 --prep_ineq_split false
% 2.83/1.39 --prep_eq_flat_all_gr false
% 2.83/1.39 --prep_gs_sim true
% 2.83/1.39 --prep_unflatten true
% 2.83/1.39 --prep_res_sim true
% 2.83/1.39 --prep_sup_sim_all true
% 2.83/1.39 --prep_sup_sim_sup false
% 2.83/1.39 --prep_upred true
% 2.83/1.39 --prep_well_definedness true
% 2.83/1.39 --prep_sem_filter exhaustive
% 2.83/1.39 --prep_sem_filter_out false
% 2.83/1.39 --pred_elim true
% 2.83/1.39 --res_sim_input true
% 2.83/1.39 --eq_ax_congr_red true
% 2.83/1.39 --pure_diseq_elim true
% 2.83/1.39 --brand_transform false
% 2.83/1.39 --non_eq_to_eq false
% 2.83/1.39 --prep_eq_proxy false
% 2.83/1.39 --prep_def_merge true
% 2.83/1.39 --prep_def_merge_prop_impl false
% 2.83/1.39 --prep_def_merge_mbd true
% 2.83/1.39 --prep_def_merge_tr_red false
% 2.83/1.39 --prep_def_merge_tr_cl false
% 2.83/1.39 --smt_preprocessing false
% 2.83/1.39 --smt_ac_axioms fast
% 2.83/1.39 --preprocessed_out false
% 2.83/1.39 --preprocessed_stats false
% 2.83/1.39
% 2.83/1.39 ------ Abstraction refinement Options
% 2.83/1.39
% 2.83/1.39 --abstr_ref []
% 2.83/1.39 --abstr_ref_prep false
% 2.83/1.39 --abstr_ref_until_sat false
% 2.83/1.39 --abstr_ref_sig_restrict funpre
% 2.83/1.39 --abstr_ref_af_restrict_to_split_sk false
% 2.83/1.39 --abstr_ref_under []
% 2.83/1.39
% 2.83/1.39 ------ SAT Options
% 2.83/1.39
% 2.83/1.39 --sat_mode false
% 2.83/1.39 --sat_fm_restart_options ""
% 2.83/1.39 --sat_gr_def false
% 2.83/1.39 --sat_epr_types true
% 2.83/1.39 --sat_non_cyclic_types false
% 2.83/1.39 --sat_finite_models false
% 2.83/1.39 --sat_fm_lemmas false
% 2.83/1.39 --sat_fm_prep false
% 2.83/1.39 --sat_fm_uc_incr true
% 2.83/1.39 --sat_out_model pos
% 2.83/1.39 --sat_out_clauses false
% 2.83/1.39
% 2.83/1.39 ------ QBF Options
% 2.83/1.39
% 2.83/1.39 --qbf_mode false
% 2.83/1.39 --qbf_elim_univ false
% 2.83/1.39 --qbf_dom_inst none
% 2.83/1.39 --qbf_dom_pre_inst false
% 2.83/1.39 --qbf_sk_in false
% 2.83/1.39 --qbf_pred_elim true
% 2.83/1.39 --qbf_split 512
% 2.83/1.39
% 2.83/1.39 ------ BMC1 Options
% 2.83/1.39
% 2.83/1.39 --bmc1_incremental false
% 2.83/1.39 --bmc1_axioms reachable_all
% 2.83/1.39 --bmc1_min_bound 0
% 2.83/1.39 --bmc1_max_bound -1
% 2.83/1.39 --bmc1_max_bound_default -1
% 2.83/1.39 --bmc1_symbol_reachability true
% 2.83/1.39 --bmc1_property_lemmas false
% 2.83/1.39 --bmc1_k_induction false
% 2.83/1.39 --bmc1_non_equiv_states false
% 2.83/1.39 --bmc1_deadlock false
% 2.83/1.39 --bmc1_ucm false
% 2.83/1.39 --bmc1_add_unsat_core none
% 2.83/1.39 --bmc1_unsat_core_children false
% 2.83/1.39 --bmc1_unsat_core_extrapolate_axioms false
% 2.83/1.39 --bmc1_out_stat full
% 2.83/1.39 --bmc1_ground_init false
% 2.83/1.39 --bmc1_pre_inst_next_state false
% 2.83/1.39 --bmc1_pre_inst_state false
% 2.83/1.39 --bmc1_pre_inst_reach_state false
% 2.83/1.39 --bmc1_out_unsat_core false
% 2.83/1.39 --bmc1_aig_witness_out false
% 2.83/1.39 --bmc1_verbose false
% 2.83/1.39 --bmc1_dump_clauses_tptp false
% 2.83/1.39 --bmc1_dump_unsat_core_tptp false
% 2.83/1.39 --bmc1_dump_file -
% 2.83/1.39 --bmc1_ucm_expand_uc_limit 128
% 2.83/1.39 --bmc1_ucm_n_expand_iterations 6
% 2.83/1.39 --bmc1_ucm_extend_mode 1
% 2.83/1.39 --bmc1_ucm_init_mode 2
% 2.83/1.39 --bmc1_ucm_cone_mode none
% 2.83/1.39 --bmc1_ucm_reduced_relation_type 0
% 2.83/1.39 --bmc1_ucm_relax_model 4
% 2.83/1.39 --bmc1_ucm_full_tr_after_sat true
% 2.83/1.39 --bmc1_ucm_expand_neg_assumptions false
% 2.83/1.39 --bmc1_ucm_layered_model none
% 2.83/1.39 --bmc1_ucm_max_lemma_size 10
% 2.83/1.39
% 2.83/1.39 ------ AIG Options
% 2.83/1.39
% 2.83/1.39 --aig_mode false
% 2.83/1.39
% 2.83/1.39 ------ Instantiation Options
% 2.83/1.39
% 2.83/1.39 --instantiation_flag true
% 2.83/1.39 --inst_sos_flag false
% 2.83/1.39 --inst_sos_phase true
% 2.83/1.39 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 2.83/1.39 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.83/1.39 --inst_lit_sel_side none
% 2.83/1.39 --inst_solver_per_active 1400
% 2.83/1.39 --inst_solver_calls_frac 1.
% 2.83/1.39 --inst_to_smt_solver true
% 2.83/1.39 --inst_passive_queue_type priority_queues
% 2.83/1.39 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.83/1.39 --inst_passive_queues_freq [25;2]
% 2.83/1.39 --inst_dismatching true
% 2.83/1.39 --inst_eager_unprocessed_to_passive true
% 2.83/1.39 --inst_unprocessed_bound 1000
% 2.83/1.39 --inst_prop_sim_given true
% 2.83/1.39 --inst_prop_sim_new false
% 2.83/1.39 --inst_subs_new false
% 2.83/1.39 --inst_eq_res_simp false
% 2.83/1.39 --inst_subs_given false
% 2.83/1.39 --inst_orphan_elimination true
% 2.83/1.39 --inst_learning_loop_flag true
% 2.83/1.39 --inst_learning_start 3000
% 2.83/1.39 --inst_learning_factor 2
% 2.83/1.39 --inst_start_prop_sim_after_learn 3
% 2.83/1.39 --inst_sel_renew solver
% 2.83/1.39 --inst_lit_activity_flag true
% 2.83/1.39 --inst_restr_to_given false
% 2.83/1.39 --inst_activity_threshold 500
% 2.83/1.39
% 2.83/1.39 ------ Resolution Options
% 2.83/1.39
% 2.83/1.39 --resolution_flag false
% 2.83/1.39 --res_lit_sel adaptive
% 2.83/1.39 --res_lit_sel_side none
% 2.83/1.39 --res_ordering kbo
% 2.83/1.39 --res_to_prop_solver active
% 2.83/1.39 --res_prop_simpl_new false
% 2.83/1.39 --res_prop_simpl_given true
% 2.83/1.39 --res_to_smt_solver true
% 2.83/1.39 --res_passive_queue_type priority_queues
% 2.83/1.39 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.83/1.39 --res_passive_queues_freq [15;5]
% 2.83/1.39 --res_forward_subs full
% 2.83/1.39 --res_backward_subs full
% 2.83/1.39 --res_forward_subs_resolution true
% 2.83/1.39 --res_backward_subs_resolution true
% 2.83/1.39 --res_orphan_elimination true
% 2.83/1.39 --res_time_limit 300.
% 2.83/1.39
% 2.83/1.39 ------ Superposition Options
% 2.83/1.39
% 2.83/1.39 --superposition_flag true
% 2.83/1.39 --sup_passive_queue_type priority_queues
% 2.83/1.39 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 2.83/1.39 --sup_passive_queues_freq [8;1;4;4]
% 2.83/1.39 --twee_lhs_weight 4
% 2.83/1.39 --sup_set_join false
% 2.83/1.39 --sup_set_join_goals true
% 2.83/1.39 --sup_set_join_limit 1000
% 2.83/1.39 --demod_completeness_check fast
% 2.83/1.39 --demod_use_ground true
% 2.83/1.39 --sup_unprocessed_bound 0
% 2.83/1.39 --sup_to_prop_solver passive
% 2.83/1.39 --sup_prop_simpl_new true
% 2.83/1.39 --sup_prop_simpl_given true
% 2.83/1.39 --sup_fun_splitting false
% 2.83/1.39 --sup_iter_deepening 2
% 2.83/1.39 --sup_restarts_mult 12
% 2.83/1.39 --sup_score sim_d_gen
% 2.83/1.39 --sup_share_score_frac 0.2
% 2.83/1.39 --sup_share_max_num_cl 500
% 2.83/1.39 --sup_ordering kbo
% 2.83/1.39 --sup_symb_ordering invfreq
% 2.83/1.39 --sup_term_weight default
% 2.83/1.39
% 2.83/1.39 ------ Superposition Simplification Setup
% 2.83/1.39
% 2.83/1.39 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 2.83/1.39 --sup_full_triv [SMTSimplify;PropSubs]
% 2.83/1.39 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 2.83/1.39 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 2.83/1.39 --sup_immed_triv []
% 2.83/1.39 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 2.83/1.39 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 2.83/1.39 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 2.83/1.39 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 2.83/1.39 --sup_input_triv [Unflattening;SMTSimplify]
% 2.83/1.39 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 2.83/1.39 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 2.83/1.39 --sup_full_fixpoint true
% 2.83/1.39 --sup_main_fixpoint true
% 2.83/1.39 --sup_immed_fixpoint false
% 2.83/1.39 --sup_input_fixpoint true
% 2.83/1.39 --sup_cache_sim none
% 2.83/1.39 --sup_smt_interval 500
% 2.83/1.39 --sup_bw_gjoin_interval 0
% 2.83/1.39
% 2.83/1.39 ------ Combination Options
% 2.83/1.39
% 2.83/1.39 --comb_mode clause_based
% 2.83/1.39 --comb_inst_mult 5
% 2.83/1.39 --comb_res_mult 1
% 2.83/1.39 --comb_sup_mult 8
% 2.83/1.39 --comb_sup_deep_mult 2
% 2.83/1.39
% 2.83/1.39 ------ Debug Options
% 2.83/1.39
% 2.83/1.39 --dbg_backtrace false
% 2.83/1.39 --dbg_dump_prop_clauses false
% 2.83/1.39 --dbg_dump_prop_clauses_file -
% 2.83/1.39 --dbg_out_stat false
% 2.83/1.39 --dbg_just_parse false
% 2.83/1.39
% 2.83/1.39
% 2.83/1.39
% 2.83/1.39
% 2.83/1.39 ------ Proving...
% 2.83/1.39
% 2.83/1.39
% 2.83/1.39 % SZS status CounterSatisfiable for theBenchmark.p
% 2.83/1.39
% 2.83/1.39 % SZS output start Saturation for theBenchmark.p
% See solution above
% 2.83/1.40
% 2.83/1.40
%------------------------------------------------------------------------------