%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 : Tue Sep 29 02:06:52 PM UTC 2026
% Result : Unsatisfiable 7.06s 1.35s
% Output : Refutation 7.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of formulae : 144 ( 144 unt; 0 def)
% Number of atoms : 144 ( 143 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 179 ( 179 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f9,axiom,
s0(b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f10,plain,
true = s0(b),
inference(reorient_equations,[],[f9]) ).
fof(f13,axiom,
n0(d,b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f14,plain,
true = n0(d,b),
inference(reorient_equations,[],[f13]) ).
fof(f27,axiom,
! [X0] : p0(b,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f28,plain,
! [X0] : true = p0(b,X0),
inference(reorient_equations,[],[f27]) ).
fof(f33,axiom,
! [X0] : q0(X0,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f34,plain,
! [X0] : true = q0(X0,d),
inference(reorient_equations,[],[f33]) ).
fof(f37,axiom,
! [X0,X1] : m0(X0,d,X1) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f38,plain,
! [X0,X1] : true = m0(X0,d,X1),
inference(reorient_equations,[],[f37]) ).
fof(f39,axiom,
l0(a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f40,plain,
true = l0(a),
inference(reorient_equations,[],[f39]) ).
fof(f55,axiom,
k0(e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f56,plain,
true = k0(e),
inference(reorient_equations,[],[f55]) ).
fof(f61,axiom,
m0(b,b,e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f62,plain,
true = m0(b,b,e),
inference(reorient_equations,[],[f61]) ).
fof(f63,axiom,
k0(b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f64,plain,
true = k0(b),
inference(reorient_equations,[],[f63]) ).
fof(f67,axiom,
n0(c,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f68,plain,
true = n0(c,d),
inference(reorient_equations,[],[f67]) ).
fof(f73,axiom,
n0(b,a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f74,plain,
true = n0(b,a),
inference(reorient_equations,[],[f73]) ).
fof(f79,axiom,
! [X0,X1] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f80,plain,
! [X0,X1] : true = ifeq(n0(X0,X1),true,l1(X1,X1),true),
inference(reorient_equations,[],[f79]) ).
fof(f173,axiom,
! [X0,X1] : ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_050) ).
fof(f174,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true),
inference(reorient_equations,[],[f173]) ).
fof(f181,axiom,
! [X2,X0,X1] : ifeq(n1(X0,X1,X0),true,ifeq(l0(X2),true,ifeq(l1(X2,X0),true,n1(X0,X1,X1),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_054) ).
fof(f182,plain,
! [X2,X0,X1] : true = ifeq(n1(X0,X1,X0),true,ifeq(l0(X2),true,ifeq(l1(X2,X0),true,n1(X0,X1,X1),true),true),true),
inference(reorient_equations,[],[f181]) ).
fof(f199,axiom,
! [X0,X1] : ifeq(k0(X0),true,ifeq(n0(d,X1),true,p1(X1,X1,X0),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_063) ).
fof(f200,plain,
! [X0,X1] : true = ifeq(k0(X0),true,ifeq(n0(d,X1),true,p1(X1,X1,X0),true),true),
inference(reorient_equations,[],[f199]) ).
fof(f205,axiom,
! [X0,X1] : ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_066) ).
fof(f206,plain,
! [X0,X1] : true = ifeq(n0(X0,X1),true,p1(X1,X1,X1),true),
inference(reorient_equations,[],[f205]) ).
fof(f235,axiom,
! [X2,X3,X0,X1] : ifeq(p1(X0,X1,X2),true,ifeq(m0(X0,X1,X2),true,p1(X1,X3,X0),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_082) ).
fof(f236,plain,
! [X2,X3,X0,X1] : true = ifeq(p1(X0,X1,X2),true,ifeq(m0(X0,X1,X2),true,p1(X1,X3,X0),true),true),
inference(reorient_equations,[],[f235]) ).
fof(f241,axiom,
! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_085) ).
fof(f242,plain,
! [X0,X1] : true = ifeq(p0(X0,X1),true,p1(X1,X1,X1),true),
inference(reorient_equations,[],[f241]) ).
fof(f321,axiom,
! [X0] : ifeq(p0(X0,X0),true,s1(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).
fof(f322,plain,
! [X0] : true = ifeq(p0(X0,X0),true,s1(X0),true),
inference(reorient_equations,[],[f321]) ).
fof(f323,axiom,
! [X2,X0,X1] : ifeq(s1(X0),true,ifeq(q0(X1,X2),true,s1(X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).
fof(f324,plain,
! [X2,X0,X1] : true = ifeq(s1(X0),true,ifeq(q0(X1,X2),true,s1(X1),true),true),
inference(reorient_equations,[],[f323]) ).
fof(f335,axiom,
! [X2,X3,X0,X1] : ifeq(s1(X0),true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).
fof(f336,plain,
! [X2,X3,X0,X1] : true = ifeq(s1(X0),true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true),
inference(reorient_equations,[],[f335]) ).
fof(f343,axiom,
! [X2,X0,X1] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f344,plain,
! [X2,X0,X1] : true = ifeq(p1(X0,X1,X2),true,n2(X2),true),
inference(reorient_equations,[],[f343]) ).
fof(f423,axiom,
! [X0,X1] : ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_177) ).
fof(f424,plain,
! [X0,X1] : true = ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true),
inference(reorient_equations,[],[f423]) ).
fof(f431,axiom,
! [X0] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_181) ).
fof(f432,plain,
! [X0] : true = ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true),
inference(reorient_equations,[],[f431]) ).
fof(f433,axiom,
! [X2,X0,X1] : ifeq(q2(X0,X1,X2),true,ifeq(p1(X2,X2,X1),true,ifeq(n1(X0,X2,X1),true,q2(X2,X0,X2),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_182) ).
fof(f434,plain,
! [X2,X0,X1] : true = ifeq(q2(X0,X1,X2),true,ifeq(p1(X2,X2,X1),true,ifeq(n1(X0,X2,X1),true,q2(X2,X0,X2),true),true),true),
inference(reorient_equations,[],[f433]) ).
fof(f447,axiom,
! [X0] : ifeq(q2(b,X0,b),true,ifeq(s1(b),true,s2(X0),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_189) ).
fof(f448,plain,
! [X0] : true = ifeq(q2(b,X0,b),true,ifeq(s1(b),true,s2(X0),true),true),
inference(reorient_equations,[],[f447]) ).
fof(f553,axiom,
! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f554,plain,
! [X0] : true = ifeq(n2(X0),true,p3(X0,X0,X0),true),
inference(reorient_equations,[],[f553]) ).
fof(f611,axiom,
! [X2,X3,X0,X1] : ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(m0(X1,X2,X3),true,s3(X0,X3),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_273) ).
fof(f612,plain,
! [X2,X3,X0,X1] : true = ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(m0(X1,X2,X3),true,s3(X0,X3),true),true),true),
inference(reorient_equations,[],[f611]) ).
fof(f621,axiom,
! [X2,X0,X1] : ifeq(s3(a,X0),true,ifeq(l2(X1,X2),true,m4(X0,X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_279) ).
fof(f622,plain,
! [X2,X0,X1] : true = ifeq(s3(a,X0),true,ifeq(l2(X1,X2),true,m4(X0,X2),true),true),
inference(reorient_equations,[],[f621]) ).
fof(f659,axiom,
! [X2,X3,X0,X1] : ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f660,plain,
! [X2,X3,X0,X1] : true = ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true),
inference(reorient_equations,[],[f659]) ).
fof(f671,axiom,
! [X0] : ifeq(s4(X0),true,ifeq(m4(e,e),true,m5(X0,X0),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_305) ).
fof(f672,plain,
! [X0] : true = ifeq(s4(X0),true,ifeq(m4(e,e),true,m5(X0,X0),true),true),
inference(reorient_equations,[],[f671]) ).
fof(f723,negated_conjecture,
m5(d,d) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != m5(d,d),
inference(reorient_equations,[],[f723]) ).
fof(f758,plain,
true = ifeq(true,true,s1(b),true),
inference(superposition,[],[f322,f28]) ).
fof(f759,plain,
true = s1(b),
inference(forward_demodulation,[],[f758,f1]) ).
fof(f768,plain,
true = ifeq(true,true,l1(a,a),true),
inference(superposition,[],[f80,f74]) ).
fof(f769,plain,
true = ifeq(true,true,l1(d,d),true),
inference(superposition,[],[f80,f68]) ).
fof(f770,plain,
true = l1(d,d),
inference(forward_demodulation,[],[f769,f1]) ).
fof(f771,plain,
true = l1(a,a),
inference(forward_demodulation,[],[f768,f1]) ).
fof(f1004,plain,
true = ifeq(true,true,p1(d,d,d),true),
inference(superposition,[],[f206,f68]) ).
fof(f1008,plain,
true = p1(d,d,d),
inference(forward_demodulation,[],[f1004,f1]) ).
fof(f1018,plain,
true = ifeq(true,true,n2(d),true),
inference(superposition,[],[f344,f1008]) ).
fof(f1019,plain,
true = n2(d),
inference(forward_demodulation,[],[f1018,f1]) ).
fof(f1020,plain,
true = ifeq(true,true,p3(d,d,d),true),
inference(superposition,[],[f554,f1019]) ).
fof(f1026,plain,
true = p3(d,d,d),
inference(forward_demodulation,[],[f1020,f1]) ).
fof(f1125,plain,
! [X0] : true = ifeq(true,true,p1(X0,X0,X0),true),
inference(superposition,[],[f242,f28]) ).
fof(f1134,plain,
! [X0] : true = p1(X0,X0,X0),
inference(forward_demodulation,[],[f1125,f1]) ).
fof(f1631,plain,
! [X0] : true = ifeq(true,true,q2(X0,X0,X0),true),
inference(forward_demodulation,[],[f432,f1134]) ).
fof(f1632,plain,
! [X0] : true = q2(X0,X0,X0),
inference(forward_demodulation,[],[f1631,f1]) ).
fof(f1754,plain,
! [X0,X1] : true = ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true),
inference(superposition,[],[f324,f34]) ).
fof(f1769,plain,
! [X0,X1] : true = ifeq(s1(X0),true,s1(X1),true),
inference(forward_demodulation,[],[f1754,f1]) ).
fof(f1830,plain,
! [X0] : true = ifeq(true,true,s1(X0),true),
inference(superposition,[],[f1769,f759]) ).
fof(f1835,plain,
! [X0] : true = s1(X0),
inference(forward_demodulation,[],[f1830,f1]) ).
fof(f2271,plain,
! [X0] : true = ifeq(q2(b,X0,b),true,ifeq(true,true,s2(X0),true),true),
inference(forward_demodulation,[],[f448,f759]) ).
fof(f2272,plain,
! [X0] : true = ifeq(q2(b,X0,b),true,s2(X0),true),
inference(forward_demodulation,[],[f2271,f1]) ).
fof(f2615,plain,
! [X0] : true = ifeq(k0(X0),true,ifeq(true,true,p1(b,b,X0),true),true),
inference(superposition,[],[f200,f14]) ).
fof(f2635,plain,
! [X0] : true = ifeq(k0(X0),true,p1(b,b,X0),true),
inference(forward_demodulation,[],[f2615,f1]) ).
fof(f2655,plain,
true = ifeq(true,true,p1(b,b,e),true),
inference(superposition,[],[f2635,f56]) ).
fof(f2662,plain,
true = p1(b,b,e),
inference(forward_demodulation,[],[f2655,f1]) ).
fof(f2949,plain,
! [X0] : true = ifeq(true,true,ifeq(l1(X0,d),true,s4(X0),true),true),
inference(superposition,[],[f660,f1026]) ).
fof(f2968,plain,
! [X0] : true = ifeq(l1(X0,d),true,s4(X0),true),
inference(forward_demodulation,[],[f2949,f1]) ).
fof(f3171,plain,
true = ifeq(true,true,s4(d),true),
inference(superposition,[],[f2968,f770]) ).
fof(f3177,plain,
true = s4(d),
inference(forward_demodulation,[],[f3171,f1]) ).
fof(f3181,plain,
true = ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true),
inference(superposition,[],[f672,f3177]) ).
fof(f3212,plain,
true = ifeq(m4(e,e),true,m5(d,d),true),
inference(forward_demodulation,[],[f3181,f1]) ).
fof(f4524,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true),
inference(forward_demodulation,[],[f424,f1134]) ).
fof(f4525,plain,
! [X0,X1] : true = ifeq(k0(X1),true,q2(X0,X1,X1),true),
inference(forward_demodulation,[],[f4524,f1]) ).
fof(f4527,plain,
! [X0] : true = ifeq(true,true,q2(X0,b,b),true),
inference(superposition,[],[f4525,f64]) ).
fof(f4534,plain,
! [X0] : true = q2(X0,b,b),
inference(forward_demodulation,[],[f4527,f1]) ).
fof(f5692,plain,
! [X0] : true = ifeq(p1(b,b,e),true,ifeq(true,true,p1(b,X0,b),true),true),
inference(superposition,[],[f236,f62]) ).
fof(f5722,plain,
! [X0] : true = ifeq(p1(b,b,e),true,p1(b,X0,b),true),
inference(forward_demodulation,[],[f5692,f1]) ).
fof(f5742,plain,
! [X0] : true = ifeq(true,true,p1(b,X0,b),true),
inference(forward_demodulation,[],[f5722,f2662]) ).
fof(f5747,plain,
! [X0] : true = p1(b,X0,b),
inference(forward_demodulation,[],[f5742,f1]) ).
fof(f7888,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(true,true,n1(X0,X1,X0),true),true),true),
inference(forward_demodulation,[],[f174,f10]) ).
fof(f7889,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(p0(b,X1),true,n1(X0,X1,X0),true),true),
inference(forward_demodulation,[],[f7888,f1]) ).
fof(f7890,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(true,true,n1(X0,X1,X0),true),true),
inference(forward_demodulation,[],[f7889,f28]) ).
fof(f7891,plain,
! [X0,X1] : true = ifeq(l0(X0),true,n1(X0,X1,X0),true),
inference(forward_demodulation,[],[f7890,f1]) ).
fof(f7892,plain,
! [X0] : true = ifeq(true,true,n1(a,X0,a),true),
inference(superposition,[],[f7891,f40]) ).
fof(f7907,plain,
! [X0] : true = n1(a,X0,a),
inference(forward_demodulation,[],[f7892,f1]) ).
fof(f12628,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true),
inference(forward_demodulation,[],[f336,f1835]) ).
fof(f12629,plain,
! [X2,X3,X0,X1] : true = ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),
inference(forward_demodulation,[],[f12628,f1]) ).
fof(f12638,plain,
! [X0] : true = ifeq(p0(X0,X0),true,ifeq(true,true,l2(e,e),true),true),
inference(superposition,[],[f12629,f62]) ).
fof(f12643,plain,
! [X0] : true = ifeq(p0(X0,X0),true,l2(e,e),true),
inference(forward_demodulation,[],[f12638,f1]) ).
fof(f12768,plain,
true = ifeq(true,true,l2(e,e),true),
inference(superposition,[],[f12643,f28]) ).
fof(f12769,plain,
true = l2(e,e),
inference(forward_demodulation,[],[f12768,f1]) ).
fof(f12789,plain,
! [X0] : true = ifeq(s3(a,X0),true,ifeq(true,true,m4(X0,e),true),true),
inference(superposition,[],[f622,f12769]) ).
fof(f12793,plain,
! [X0] : true = ifeq(s3(a,X0),true,m4(X0,e),true),
inference(forward_demodulation,[],[f12789,f1]) ).
fof(f15206,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X0,X0),true),true),true),
inference(superposition,[],[f182,f771]) ).
fof(f15239,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,ifeq(l0(a),true,n1(a,X0,X0),true),true),
inference(forward_demodulation,[],[f15206,f1]) ).
fof(f15273,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,ifeq(true,true,n1(a,X0,X0),true),true),
inference(forward_demodulation,[],[f15239,f40]) ).
fof(f15282,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,n1(a,X0,X0),true),
inference(forward_demodulation,[],[f15273,f1]) ).
fof(f15284,plain,
! [X0] : true = ifeq(true,true,n1(a,X0,X0),true),
inference(forward_demodulation,[],[f15282,f7907]) ).
fof(f15286,plain,
! [X0] : true = n1(a,X0,X0),
inference(forward_demodulation,[],[f15284,f1]) ).
fof(f17740,plain,
! [X2,X0,X1] : true = ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(true,true,s3(X0,X2),true),true),true),
inference(superposition,[],[f612,f38]) ).
fof(f17759,plain,
! [X2,X0,X1] : true = ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,s3(X0,X2),true),true),
inference(forward_demodulation,[],[f17740,f1]) ).
fof(f18138,plain,
! [X0,X1] : true = ifeq(s2(X0),true,ifeq(true,true,s3(X0,X1),true),true),
inference(superposition,[],[f17759,f1632]) ).
fof(f18169,plain,
! [X0,X1] : true = ifeq(s2(X0),true,s3(X0,X1),true),
inference(forward_demodulation,[],[f18138,f1]) ).
fof(f26267,plain,
! [X0] : true = ifeq(q2(X0,b,b),true,ifeq(true,true,ifeq(n1(X0,b,b),true,q2(b,X0,b),true),true),true),
inference(superposition,[],[f434,f5747]) ).
fof(f26354,plain,
! [X0] : true = ifeq(q2(X0,b,b),true,ifeq(n1(X0,b,b),true,q2(b,X0,b),true),true),
inference(forward_demodulation,[],[f26267,f1]) ).
fof(f26430,plain,
! [X0] : true = ifeq(true,true,ifeq(n1(X0,b,b),true,q2(b,X0,b),true),true),
inference(forward_demodulation,[],[f26354,f4534]) ).
fof(f26475,plain,
! [X0] : true = ifeq(n1(X0,b,b),true,q2(b,X0,b),true),
inference(forward_demodulation,[],[f26430,f1]) ).
fof(f27152,plain,
true = ifeq(true,true,q2(b,a,b),true),
inference(superposition,[],[f26475,f15286]) ).
fof(f27163,plain,
true = q2(b,a,b),
inference(forward_demodulation,[],[f27152,f1]) ).
fof(f27169,plain,
true = ifeq(true,true,s2(a),true),
inference(superposition,[],[f2272,f27163]) ).
fof(f27196,plain,
true = s2(a),
inference(forward_demodulation,[],[f27169,f1]) ).
fof(f27236,plain,
! [X0] : true = ifeq(true,true,s3(a,X0),true),
inference(superposition,[],[f18169,f27196]) ).
fof(f27237,plain,
! [X0] : true = s3(a,X0),
inference(forward_demodulation,[],[f27236,f1]) ).
fof(f27321,plain,
! [X0] : true = ifeq(true,true,m4(X0,e),true),
inference(superposition,[],[f12793,f27237]) ).
fof(f27357,plain,
! [X0] : true = m4(X0,e),
inference(forward_demodulation,[],[f27321,f1]) ).
fof(f27502,plain,
true = ifeq(true,true,m5(d,d),true),
inference(superposition,[],[f3212,f27357]) ).
fof(f27528,plain,
true = m5(d,d),
inference(forward_demodulation,[],[f27502,f1]) ).
fof(f27541,plain,
$false,
inference(forward_subsumption_resolution,[],[f27528,f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n017.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 15:32:06 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25 Running first-order model finding
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.06/1.35 % (3640417)Will run a generic schedule for satisfiability detection.
% 7.06/1.35 % (3640427)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2899535707:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.06/1.35 % (3640423)% WARNING: option uhcvi not known.
% 7.06/1.35 % (3640425)dis+10_1_sil=32000:sp=arity:random_seed=2342212976:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.06/1.35 % (3640424)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3076580100:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.06/1.35 % (3640423)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2717523200:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.06/1.35 % (3640422)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=877149523_2999 on theBenchmark for (2999ds/0Mi)
% 7.06/1.35 % (3640428)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=510723657:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.06/1.35 % (3640426)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3236248614:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.06/1.35 % (3640427)Instruction limit reached!
% 7.06/1.35 % (3640427)------------------------------
% 7.06/1.35 % (3640427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640427)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640427)Termination reason: Instruction limit
% 7.06/1.35 % (3640427)Termination phase: Saturation
% 7.06/1.35 % (3640427)Time elapsed: 0.066 s
% 7.06/1.35 % (3640427)Peak memory usage: 13 MB
% 7.06/1.35 % (3640427)Instructions burned: 132 (million)
% 7.06/1.35 % (3640436)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=681087832:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.06/1.35 % (3640425)Instruction limit reached!
% 7.06/1.35 % (3640425)------------------------------
% 7.06/1.35 % (3640425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640425)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640425)Termination reason: Instruction limit
% 7.06/1.35 % (3640425)Termination phase: Saturation
% 7.06/1.35 % (3640425)Time elapsed: 0.103 s
% 7.06/1.35 % (3640425)Peak memory usage: 12 MB
% 7.06/1.35 % (3640425)Instructions burned: 103 (million)
% 7.06/1.35 % (3640426)Instruction limit reached!
% 7.06/1.35 % (3640426)------------------------------
% 7.06/1.35 % (3640426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640426)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640426)Termination reason: Instruction limit
% 7.06/1.35 % (3640426)Termination phase: Saturation
% 7.06/1.35 % (3640426)Time elapsed: 0.131 s
% 7.06/1.35 % (3640426)Peak memory usage: 13 MB
% 7.06/1.35 % (3640426)Instructions burned: 116 (million)
% 7.06/1.35 % (3640438)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3367394246:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.06/1.35 % (3640428)Instruction limit reached!
% 7.06/1.35 % (3640428)------------------------------
% 7.06/1.35 % (3640428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640428)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640428)Termination reason: Instruction limit
% 7.06/1.35 % (3640428)Termination phase: Saturation
% 7.06/1.35 % (3640428)Time elapsed: 0.160 s
% 7.06/1.35 % (3640428)Peak memory usage: 12 MB
% 7.06/1.35 % (3640428)Instructions burned: 159 (million)
% 7.06/1.35 % (3640439)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2973091252:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 7.06/1.35 % TRYING [1]
% 7.06/1.35 % TRYING [2]
% 7.06/1.35 % (3640441)ott-21_1_sil=16000:fs=off:random_seed=4269910678:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 7.06/1.35 % TRYING [1]
% 7.06/1.35 % TRYING [2]
% 7.06/1.35 % TRYING [3]
% 7.06/1.35 % (3640438)Instruction limit reached!
% 7.06/1.35 % (3640438)------------------------------
% 7.06/1.35 % (3640438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640438)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640438)Termination reason: Instruction limit
% 7.06/1.35 % (3640438)Termination phase: Saturation
% 7.06/1.35 % (3640438)Time elapsed: 0.145 s
% 7.06/1.35 % (3640438)Peak memory usage: 13 MB
% 7.06/1.35 % (3640438)Instructions burned: 131 (million)
% 7.06/1.35 % TRYING [3]
% 7.06/1.35 % (3640444)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3696336622:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 7.06/1.35 % (3640441)Instruction limit reached!
% 7.06/1.35 % (3640441)------------------------------
% 7.06/1.35 % (3640441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640441)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640441)Termination reason: Instruction limit
% 7.06/1.35 % (3640441)Termination phase: Saturation
% 7.06/1.35 % (3640441)Time elapsed: 0.167 s
% 7.06/1.35 % (3640441)Peak memory usage: 13 MB
% 7.06/1.35 % (3640441)Instructions burned: 180 (million)
% 7.06/1.35 % (3640436)Instruction limit reached!
% 7.06/1.35 % (3640436)------------------------------
% 7.06/1.35 % (3640436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640436)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640436)Termination reason: Instruction limit
% 7.06/1.35 % (3640436)Termination phase: Finite model building constraint generation
% 7.06/1.35 % (3640436)Time elapsed: 0.309 s
% 7.06/1.35 % (3640436)Peak memory usage: 43 MB
% 7.06/1.35 % (3640436)Instructions burned: 714 (million)
% 7.06/1.35 % (3640446)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1021092077:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 7.06/1.35 % (3640447)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3758489882:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.06/1.35 % TRYING [1]
% 7.06/1.35 % TRYING [2]
% 7.06/1.35 % (3640444)Instruction limit reached!
% 7.06/1.35 % (3640444)------------------------------
% 7.06/1.35 % (3640444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640444)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640444)Termination reason: Instruction limit
% 7.06/1.35 % (3640444)Termination phase: Saturation
% 7.06/1.35 % (3640444)Time elapsed: 0.503 s
% 7.06/1.35 % (3640444)Peak memory usage: 16 MB
% 7.06/1.35 % (3640444)Instructions burned: 477 (million)
% 7.06/1.35 % (3640439)Instruction limit reached!
% 7.06/1.35 % (3640439)------------------------------
% 7.06/1.35 % (3640439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640439)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640439)Termination reason: Instruction limit
% 7.06/1.35 % (3640439)Termination phase: Saturation
% 7.06/1.35 % (3640439)Time elapsed: 0.690 s
% 7.06/1.35 % (3640439)Peak memory usage: 17 MB
% 7.06/1.35 % (3640439)Instructions burned: 685 (million)
% 7.06/1.35 % (3640450)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=731636040:i=889:ins=1_2990 on theBenchmark for (2990ds/889Mi)
% 7.06/1.35 % (3640451)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3180890089:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 7.06/1.35 % (3640424) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3640417-3640424"...
% 7.06/1.35 % (3640424)...printing done.
% 7.06/1.35 % (3640447)Instruction limit reached!
% 7.06/1.35 % (3640447)------------------------------
% 7.06/1.35 % (3640447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.35 % (3640447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.35 % (3640447)CaDiCaL version: 2.1.3
% 7.06/1.35 % (3640447)Termination reason: Instruction limit
% 7.06/1.35 % (3640447)Termination phase: Saturation
% 7.06/1.35 % (3640447)Time elapsed: 0.576 s
% 7.06/1.35 % (3640447)Peak memory usage: 25 MB
% 7.06/1.35 % (3640447)Instructions burned: 1180 (million)
% 7.06/1.35 % (3640424)Refutation found. Thanks to Tanya!
% 7.06/1.35 % SZS status Unsatisfiable for theBenchmark
% 7.06/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 7.06/1.36 % (3640424)------------------------------
% 7.06/1.36 % (3640424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.06/1.36 % (3640424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.06/1.36 % (3640424)CaDiCaL version: 2.1.3
% 7.06/1.36 % (3640424)Termination reason: Refutation
% 7.06/1.36 % (3640424)Time elapsed: 0.996 s
% 7.06/1.36 % (3640424)Peak memory usage: 20 MB
% 7.06/1.36 % (3640424)Instructions burned: 1075 (million)
% 7.06/1.36 % (3640417)Success in time 1.086 s
% 7.06/1.36 % Vampire exiting
%------------------------------------------------------------------------------