%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:49:46 PM UTC 2026
% Result : Unsatisfiable 5.59s 1.46s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 31
% Syntax : Number of formulae : 138 ( 138 unt; 0 def)
% Number of atoms : 138 ( 137 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 : 159 ( 159 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f9,axiom,
s0(b) = true,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(f34,plain,
! [X0] : true = q0(X0,d),
inference(reorient_equations,[],[f33]) ).
fof(f39,axiom,
l0(a) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(f40,plain,
true = l0(a),
inference(reorient_equations,[],[f39]) ).
fof(f55,axiom,
k0(e) = true,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != m5(d,d),
inference(reorient_equations,[],[f723]) ).
fof(f748,plain,
true = ifeq(true,true,s1(b),true),
inference(superposition,[],[f322,f28]) ).
fof(f749,plain,
true = s1(b),
inference(forward_demodulation,[],[f748,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(f1765,plain,
! [X0,X1] : true = ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true),
inference(superposition,[],[f324,f34]) ).
fof(f1780,plain,
! [X0,X1] : true = ifeq(s1(X0),true,s1(X1),true),
inference(forward_demodulation,[],[f1765,f1]) ).
fof(f1867,plain,
! [X0] : true = ifeq(true,true,s1(X0),true),
inference(superposition,[],[f1780,f749]) ).
fof(f1872,plain,
! [X0] : true = s1(X0),
inference(forward_demodulation,[],[f1867,f1]) ).
fof(f2261,plain,
! [X0] : true = ifeq(q2(b,X0,b),true,ifeq(true,true,s2(X0),true),true),
inference(forward_demodulation,[],[f448,f749]) ).
fof(f2262,plain,
! [X0] : true = ifeq(q2(b,X0,b),true,s2(X0),true),
inference(forward_demodulation,[],[f2261,f1]) ).
fof(f2605,plain,
! [X0] : true = ifeq(k0(X0),true,ifeq(true,true,p1(b,b,X0),true),true),
inference(superposition,[],[f200,f14]) ).
fof(f2625,plain,
! [X0] : true = ifeq(k0(X0),true,p1(b,b,X0),true),
inference(forward_demodulation,[],[f2605,f1]) ).
fof(f2645,plain,
true = ifeq(true,true,p1(b,b,e),true),
inference(superposition,[],[f2625,f56]) ).
fof(f2652,plain,
true = p1(b,b,e),
inference(forward_demodulation,[],[f2645,f1]) ).
fof(f2939,plain,
! [X0] : true = ifeq(true,true,ifeq(l1(X0,d),true,s4(X0),true),true),
inference(superposition,[],[f660,f1026]) ).
fof(f2958,plain,
! [X0] : true = ifeq(l1(X0,d),true,s4(X0),true),
inference(forward_demodulation,[],[f2939,f1]) ).
fof(f3198,plain,
true = ifeq(true,true,s4(d),true),
inference(superposition,[],[f2958,f770]) ).
fof(f3204,plain,
true = s4(d),
inference(forward_demodulation,[],[f3198,f1]) ).
fof(f3208,plain,
true = ifeq(true,true,ifeq(m4(e,e),true,m5(d,d),true),true),
inference(superposition,[],[f672,f3204]) ).
fof(f3241,plain,
true = ifeq(m4(e,e),true,m5(d,d),true),
inference(forward_demodulation,[],[f3208,f1]) ).
fof(f4450,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true),
inference(forward_demodulation,[],[f424,f1134]) ).
fof(f4451,plain,
! [X0,X1] : true = ifeq(k0(X1),true,q2(X0,X1,X1),true),
inference(forward_demodulation,[],[f4450,f1]) ).
fof(f4455,plain,
! [X0] : true = ifeq(true,true,q2(X0,b,b),true),
inference(superposition,[],[f4451,f64]) ).
fof(f4462,plain,
! [X0] : true = q2(X0,b,b),
inference(forward_demodulation,[],[f4455,f1]) ).
fof(f5540,plain,
! [X0] : true = ifeq(p1(b,b,e),true,ifeq(true,true,p1(b,X0,b),true),true),
inference(superposition,[],[f236,f62]) ).
fof(f5570,plain,
! [X0] : true = ifeq(p1(b,b,e),true,p1(b,X0,b),true),
inference(forward_demodulation,[],[f5540,f1]) ).
fof(f5590,plain,
! [X0] : true = ifeq(true,true,p1(b,X0,b),true),
inference(forward_demodulation,[],[f5570,f2652]) ).
fof(f5595,plain,
! [X0] : true = p1(b,X0,b),
inference(forward_demodulation,[],[f5590,f1]) ).
fof(f7560,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(f7561,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(p0(b,X1),true,n1(X0,X1,X0),true),true),
inference(forward_demodulation,[],[f7560,f1]) ).
fof(f7562,plain,
! [X0,X1] : true = ifeq(l0(X0),true,ifeq(true,true,n1(X0,X1,X0),true),true),
inference(forward_demodulation,[],[f7561,f28]) ).
fof(f7563,plain,
! [X0,X1] : true = ifeq(l0(X0),true,n1(X0,X1,X0),true),
inference(forward_demodulation,[],[f7562,f1]) ).
fof(f7576,plain,
! [X0] : true = ifeq(true,true,n1(a,X0,a),true),
inference(superposition,[],[f7563,f40]) ).
fof(f7589,plain,
! [X0] : true = n1(a,X0,a),
inference(forward_demodulation,[],[f7576,f1]) ).
fof(f9026,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,f1872]) ).
fof(f9027,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,[],[f9026,f1]) ).
fof(f9036,plain,
! [X0] : true = ifeq(p0(X0,X0),true,ifeq(true,true,l2(e,e),true),true),
inference(superposition,[],[f9027,f62]) ).
fof(f9041,plain,
! [X0] : true = ifeq(p0(X0,X0),true,l2(e,e),true),
inference(forward_demodulation,[],[f9036,f1]) ).
fof(f9268,plain,
true = ifeq(true,true,l2(e,e),true),
inference(superposition,[],[f9041,f28]) ).
fof(f9269,plain,
true = l2(e,e),
inference(forward_demodulation,[],[f9268,f1]) ).
fof(f9289,plain,
! [X0] : true = ifeq(s3(a,X0),true,ifeq(true,true,m4(X0,e),true),true),
inference(superposition,[],[f622,f9269]) ).
fof(f9293,plain,
! [X0] : true = ifeq(s3(a,X0),true,m4(X0,e),true),
inference(forward_demodulation,[],[f9289,f1]) ).
fof(f9929,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(f9962,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,ifeq(l0(a),true,n1(a,X0,X0),true),true),
inference(forward_demodulation,[],[f9929,f1]) ).
fof(f9995,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,ifeq(true,true,n1(a,X0,X0),true),true),
inference(forward_demodulation,[],[f9962,f40]) ).
fof(f10004,plain,
! [X0] : true = ifeq(n1(a,X0,a),true,n1(a,X0,X0),true),
inference(forward_demodulation,[],[f9995,f1]) ).
fof(f10006,plain,
! [X0] : true = ifeq(true,true,n1(a,X0,X0),true),
inference(forward_demodulation,[],[f10004,f7589]) ).
fof(f10008,plain,
! [X0] : true = n1(a,X0,X0),
inference(forward_demodulation,[],[f10006,f1]) ).
fof(f11593,plain,
! [X0] : true = ifeq(s2(X0),true,ifeq(q2(b,X0,b),true,ifeq(true,true,s3(X0,e),true),true),true),
inference(superposition,[],[f612,f62]) ).
fof(f11598,plain,
! [X0] : true = ifeq(s2(X0),true,ifeq(q2(b,X0,b),true,s3(X0,e),true),true),
inference(forward_demodulation,[],[f11593,f1]) ).
fof(f14607,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,f5595]) ).
fof(f14692,plain,
! [X0] : true = ifeq(q2(X0,b,b),true,ifeq(n1(X0,b,b),true,q2(b,X0,b),true),true),
inference(forward_demodulation,[],[f14607,f1]) ).
fof(f14768,plain,
! [X0] : true = ifeq(true,true,ifeq(n1(X0,b,b),true,q2(b,X0,b),true),true),
inference(forward_demodulation,[],[f14692,f4462]) ).
fof(f14813,plain,
! [X0] : true = ifeq(n1(X0,b,b),true,q2(b,X0,b),true),
inference(forward_demodulation,[],[f14768,f1]) ).
fof(f19346,plain,
true = ifeq(true,true,q2(b,a,b),true),
inference(superposition,[],[f14813,f10008]) ).
fof(f19359,plain,
true = q2(b,a,b),
inference(forward_demodulation,[],[f19346,f1]) ).
fof(f19362,plain,
true = ifeq(true,true,s2(a),true),
inference(superposition,[],[f2262,f19359]) ).
fof(f19380,plain,
true = s2(a),
inference(forward_demodulation,[],[f19362,f1]) ).
fof(f20245,plain,
true = ifeq(s2(a),true,ifeq(true,true,s3(a,e),true),true),
inference(superposition,[],[f11598,f19359]) ).
fof(f20264,plain,
true = ifeq(s2(a),true,s3(a,e),true),
inference(forward_demodulation,[],[f20245,f1]) ).
fof(f20276,plain,
true = ifeq(true,true,s3(a,e),true),
inference(forward_demodulation,[],[f20264,f19380]) ).
fof(f20284,plain,
true = s3(a,e),
inference(forward_demodulation,[],[f20276,f1]) ).
fof(f20288,plain,
true = ifeq(true,true,m4(e,e),true),
inference(superposition,[],[f9293,f20284]) ).
fof(f20299,plain,
true = m4(e,e),
inference(forward_demodulation,[],[f20288,f1]) ).
fof(f20320,plain,
true = ifeq(true,true,m5(d,d),true),
inference(superposition,[],[f3241,f20299]) ).
fof(f20342,plain,
true = m5(d,d),
inference(forward_demodulation,[],[f20320,f1]) ).
fof(f20345,plain,
$false,
inference(forward_subsumption_resolution,[],[f20342,f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN143-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:36:46 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.59/1.46 % (3159156)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.59/1.46 % (3159190)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1089022560:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.59/1.46 % (3159188)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=309515799:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.59/1.46 % (3159193)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1406138905:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.59/1.46 % (3159189)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2831746073:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.59/1.46 % (3159194)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3266953911:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.59/1.46 % (3159191)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3230310911:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.59/1.46 % (3159192)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3156638371:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.59/1.46 % (3159192)Refutation not found, incomplete strategy
% 5.59/1.46 % (3159192)------------------------------
% 5.59/1.46 % (3159192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.46 % (3159192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.46 % (3159192)CaDiCaL version: 2.1.3
% 5.59/1.46 % (3159192)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.46 % (3159192)Time elapsed: 0.037 s
% 5.59/1.46 % (3159192)Peak memory usage: 89 MB
% 5.59/1.46 % (3159192)Instructions burned: 68 (million)
% 5.59/1.46 % (3159191)Instruction limit reached!
% 5.59/1.46 % (3159191)------------------------------
% 5.59/1.46 % (3159191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.46 % (3159191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.46 % (3159191)CaDiCaL version: 2.1.3
% 5.59/1.46 % (3159191)Termination reason: Instruction limit
% 5.59/1.46 % (3159191)Termination phase: Saturation
% 5.59/1.46 % (3159191)Time elapsed: 0.074 s
% 5.59/1.46 % (3159191)Peak memory usage: 88 MB
% 5.59/1.46 % (3159191)Instructions burned: 136 (million)
% 5.59/1.46 % (3159193)Instruction limit reached!
% 5.59/1.46 % (3159193)------------------------------
% 5.59/1.46 % (3159193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.46 % (3159193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.46 % (3159193)CaDiCaL version: 2.1.3
% 5.59/1.46 % (3159193)Termination reason: Instruction limit
% 5.59/1.46 % (3159193)Termination phase: Saturation
% 5.59/1.46 % (3159193)Time elapsed: 0.149 s
% 5.59/1.46 % (3159193)Peak memory usage: 90 MB
% 5.59/1.46 % (3159193)Instructions burned: 257 (million)
% 5.59/1.46 % (3159202)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=779505336:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.59/1.46 % (3159192)------------------------------
% 5.59/1.46 % (3159192)------------------------------
% 5.59/1.46 % (3159203)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3269064667:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 5.59/1.46 % (3159194)First to succeed.
% 5.59/1.46 % (3159194)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3159156"
% 5.59/1.46 % (3159206)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3484953619:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 5.59/1.46 % (3159206)Instruction limit reached!
% 5.59/1.46 % (3159206)------------------------------
% 5.59/1.46 % (3159206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.46 % (3159206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.46 % (3159206)CaDiCaL version: 2.1.3
% 5.59/1.46 % (3159206)Termination reason: Instruction limit
% 5.59/1.46 % (3159206)Termination phase: Saturation
% 5.59/1.46 % (3159206)Time elapsed: 0.120 s
% 5.59/1.46 % (3159206)Peak memory usage: 91 MB
% 5.59/1.46 % (3159206)Instructions burned: 216 (million)
% 5.59/1.46 % (3159194)Refutation found. Thanks to Tanya!
% 5.59/1.46 % SZS status Unsatisfiable for theBenchmark
% 5.59/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 6.22/1.66 % (3159194)------------------------------
% 6.22/1.66 % (3159194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.66 % (3159194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.66 % (3159194)CaDiCaL version: 2.1.3
% 6.22/1.66 % (3159194)Termination reason: Refutation
% 6.22/1.66 % (3159194)Time elapsed: 0.385 s
% 6.22/1.66 % (3159194)Peak memory usage: 95 MB
% 6.22/1.66 % (3159194)Instructions burned: 680 (million)
% 6.22/1.66 % (3159194)------------------------------
% 6.22/1.66 % (3159194)------------------------------
% 6.22/1.66 % (3159156)Success in time 0.794 s
% 6.22/1.66 % Vampire exiting
%------------------------------------------------------------------------------