%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ046-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 02:00:21 PM UTC 2026
% Result : Satisfiable 0.13s 0.38s
% Output : Saturation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2)
| ~ state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2)
| ~ state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [B,V1,V2,V3,V4,H,S1,X,Y,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [B,V1,V2,V3,V4,H,S1,X,Y,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(X,s(Y)),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,s2(X,s(Y)),S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B,V1,V2,V3,V4,H,S1,X,Y,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [B,V1,V2,V3,V4,H,S1,X,Y,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,X,Y,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,X,Y,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,X,Y,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,X,Y,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(s(X),Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,X,Y,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,X,Y,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,X,Y,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,X,Y,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(s(X),Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(s(X),Y),e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [B,X,Y,V2,V3,V4,H,S1,S2,S3,S4] :
( state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))
| ~ state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [B,X,Y,V2,V3,V4,H,S1,S2,S3,S4] :
( state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))
| ~ state(B,v1(X,s(Y)),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [B,X,Y,V2,V3,V4,H,S1,S2,S3,S4,E2] :
( state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)
| ~ state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [B,X,Y,V2,V3,V4,H,S1,S2,S3,S4,E2] :
( state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)
| ~ state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [B,V1,X,Y,V3,V4,H,S1,S2,S3,S4] :
( state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))
| ~ state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [B,V1,X,Y,V3,V4,H,S1,S2,S3,S4] :
( state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))
| ~ state(B,V1,v2(X,s(Y)),V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [B,V1,X,Y,V3,V4,H,S1,S2,S3,S4,E2] :
( state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [B,V1,X,Y,V3,V4,H,S1,S2,S3,S4,E2] :
( state(B,V1,v2(X,Y),V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)
| ~ state(B,V1,v2(s(X),Y),V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [B,V1,V2,X,Y,V4,H,S1,S2,S3,S4] :
( state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))
| ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [B,V1,V2,X,Y,V4,H,S1,S2,S3,S4] :
( state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))
| ~ state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [B,V1,V2,X,Y,V4,H,S1,S2,S3,S4,E2] :
( state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [B,V1,V2,X,Y,V4,H,S1,S2,S3,S4,E2] :
( state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)
| ~ state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [B,V1,V2,V3,X,Y,H,S1,S2,S3,S4] :
( state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))
| ~ state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [B,V1,V2,V3,X,Y,H,S1,S2,S3,S4] :
( state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y)))
| ~ state(B,V1,V2,V3,v4(X,s(Y)),H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [B,V1,V2,V3,X,Y,H,S1,S2,S3,S4,E2] :
( state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [B,V1,V2,V3,X,Y,H,S1,S2,S3,S4,E2] :
( state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)
| ~ state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [B,V1,V2,V3,V4,X,Y,S1,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [B,V1,V2,V3,V4,X,Y,S1,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2)
| ~ state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [B,V1,V2,V3,V4,X,Y,S1,S2,S3,S4] :
( state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))
| ~ state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [B,V1,V2,V3,V4,X,Y,S1,S2,S3,S4] :
( state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y)))
| ~ state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X,Y,V1,V2,V3,V4,H,S1,S2,S3,S4] :
( state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))
| ~ state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X,Y,V1,V2,V3,V4,H,S1,S2,S3,S4] :
( state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y))))
| ~ state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X,Y,V1,V2,V3,V4,H,S1,S2,S3,S4] :
( state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))
| ~ state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X,Y,V1,V2,V3,V4,H,S1,S2,S3,S4] :
( state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),e2(s(s(X)),s(Y)))
| ~ state(bb(s(X),Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(X,s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,S4,X,Y,Q,W] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(Q,W),e2(X,Y))
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(Q,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,s1(X6,s(X7)),X8,X9,X10,e1(X6,X7),X11)
| ~ state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(X6,s(X7)),X11) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(X6,s(X7)),X11)
| ~ state(X0,X1,X2,X3,X4,X5,s1(X6,s(X7)),X8,X9,X10,e1(X6,X7),X11) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11)
| ~ state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11)
| ~ state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,s2(X7,s(X8)),X9,X10,e1(X7,X8),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(X7,s(X8)),X11) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(X7,s(X8)),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,s(X8)),X9,X10,e1(X7,X8),X11) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,s(X9)),X10,e1(X8,X9),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(X8,s(X9)),X11) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(X8,s(X9)),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,s(X9)),X10,e1(X8,X9),X11) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,s3(s(X8),X9),X10,e1(X8,X9),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(s(X8),X9),X11) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(s(X8),X9),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(s(X8),X9),X10,e1(X8,X9),X11) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(s(X9),X10),e1(X9,X10),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(s(X9),X10),X11) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f57,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(s(X9),X10),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(s(X9),X10),e1(X9,X10),X11) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,v1(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),e2(s(X1),X2))
| ~ state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,s(X2)),e2(s(X1),s(X2))) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,s(X2)),e2(s(X1),s(X2)))
| ~ state(X0,v1(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),e2(s(X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,v1(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),X11)
| ~ state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X1)),X2),X11) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X1)),X2),X11)
| ~ state(X0,v1(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),X11) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f62,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,v2(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),e2(s(X2),X3))
| ~ state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,s(X3)),e2(s(X2),s(X3))) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,s(X3)),e2(s(X2),s(X3)))
| ~ state(X0,X1,v2(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),e2(s(X2),X3)) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,v2(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),X11)
| ~ state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(s(s(X2)),X3),X11) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,v2(X2,X3),X4,X5,X6,X7,X8,X9,X10,e1(s(s(X2)),X3),X11)
| ~ state(X0,X1,v2(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,e1(X2,X3),X11) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,v3(X3,s(X4)),X5,X6,X7,X8,X9,X10,e1(X3,X4),e2(s(X3),X4))
| ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(X3,s(X4)),e2(s(X3),s(X4))) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(X3,s(X4)),e2(s(X3),s(X4)))
| ~ state(X0,X1,X2,v3(X3,s(X4)),X5,X6,X7,X8,X9,X10,e1(X3,X4),e2(s(X3),X4)) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11)
| ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11)
| ~ state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5))
| ~ state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5))) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(X4,s(X5)),e2(s(X4),s(X5)))
| ~ state(X0,X1,X2,X3,v4(X4,s(X5)),X6,X7,X8,X9,X10,e1(X4,X5),e2(s(X4),X5)) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11)
| ~ state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11)
| ~ state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f74,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11)
| ~ state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11)
| ~ state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f76,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,X3,X4,h(s(X5),X6),X7,X8,X9,X10,e1(X5,X6),e2(X5,s(X6)))
| ~ state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(s(X5),X6),e2(s(X5),s(X6))) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f77,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(s(X5),X6),e2(s(X5),s(X6)))
| ~ state(X0,X1,X2,X3,X4,h(s(X5),X6),X7,X8,X9,X10,e1(X5,X6),e2(X5,s(X6))) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(bb(X0,s(X1)),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(s(X0),X1))
| ~ state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,s(s(X1))),e2(s(X0),s(s(X1)))) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,s(s(X1))),e2(s(X0),s(s(X1))))
| ~ state(bb(X0,s(X1)),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(s(X0),X1)) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(bb(s(X0),X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(X0,s(X1)))
| ~ state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X0)),X1),e2(s(s(X0)),s(X1))) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X0)),X1),e2(s(s(X0)),s(X1)))
| ~ state(bb(s(X0),X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(X0,s(X1))) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X12,X13),e2(X10,X11))
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X10,X11),e2(X12,X13)) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ046-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:46:21 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.38 % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.13/0.38 % SZS output start Saturation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.036797 seconds
% 0.13/0.40 % CPU time: 0.089184 seconds
% 0.13/0.40 % Total memory used: 3.709 MB
% 0.13/0.40 % Net memory used: 3.663 MB
%------------------------------------------------------------------------------