%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN193-10 : 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 : n003.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 01:49:53 PM UTC 2026
% Result : Unsatisfiable 4.74s 1.46s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-4 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
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(f29,axiom,
n0(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
fof(f30,plain,
true = n0(a,b),
inference(reorient_equations,[],[f29]) ).
fof(f35,axiom,
p0(c,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(f36,plain,
true = p0(c,b),
inference(reorient_equations,[],[f35]) ).
fof(f37,axiom,
! [X0,X1] : m0(X0,d,X1) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(f38,plain,
! [X0,X1] : true = m0(X0,d,X1),
inference(reorient_equations,[],[f37]) ).
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(f87,axiom,
! [X0,X1] : ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_006) ).
fof(f88,plain,
! [X0,X1] : true = ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true),
inference(reorient_equations,[],[f87]) ).
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(f369,axiom,
! [X0,X1] : ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_150) ).
fof(f370,plain,
! [X0,X1] : true = ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true),
inference(reorient_equations,[],[f369]) ).
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(f545,axiom,
! [X2,X0,X1] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_240) ).
fof(f546,plain,
! [X2,X0,X1] : true = ifeq(p2(X0,X1,X2),true,n3(X2),true),
inference(reorient_equations,[],[f545]) ).
fof(f575,axiom,
! [X2,X0,X1] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_255) ).
fof(f576,plain,
! [X2,X0,X1] : true = ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true),
inference(reorient_equations,[],[f575]) ).
fof(f657,axiom,
! [X2,X3,X0,X1] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_298) ).
fof(f658,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(reorient_equations,[],[f657]) ).
fof(f723,negated_conjecture,
r4(b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f724,plain,
true != r4(b),
inference(reorient_equations,[],[f723]) ).
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(f1397,plain,
! [X0] : true = ifeq(true,true,m1(X0,X0,X0),true),
inference(superposition,[],[f88,f38]) ).
fof(f1406,plain,
! [X0] : true = m1(X0,X0,X0),
inference(forward_demodulation,[],[f1397,f1]) ).
fof(f1527,plain,
! [X0] : true = ifeq(true,true,p2(X0,X0,X0),true),
inference(superposition,[],[f370,f1406]) ).
fof(f1543,plain,
! [X0] : true = p2(X0,X0,X0),
inference(forward_demodulation,[],[f1527,f1]) ).
fof(f1549,plain,
! [X0] : true = ifeq(true,true,n3(X0),true),
inference(superposition,[],[f546,f1543]) ).
fof(f1556,plain,
! [X0] : true = n3(X0),
inference(forward_demodulation,[],[f1549,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(f4714,plain,
! [X0] : true = ifeq(true,true,ifeq(n0(X0,b),true,q3(b,b),true),true),
inference(superposition,[],[f576,f4462]) ).
fof(f4743,plain,
! [X0] : true = ifeq(n0(X0,b),true,q3(b,b),true),
inference(forward_demodulation,[],[f4714,f1]) ).
fof(f4757,plain,
true = ifeq(true,true,q3(b,b),true),
inference(superposition,[],[f4743,f30]) ).
fof(f4759,plain,
true = q3(b,b),
inference(forward_demodulation,[],[f4757,f1]) ).
fof(f7037,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(true,true,ifeq(p0(X3,X2),true,r4(X2),true),true),true),
inference(forward_demodulation,[],[f658,f1556]) ).
fof(f7038,plain,
! [X2,X3,X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(p0(X3,X2),true,r4(X2),true),true),
inference(forward_demodulation,[],[f7037,f1]) ).
fof(f7106,plain,
! [X0,X1] : true = ifeq(q3(X0,X1),true,ifeq(true,true,r4(b),true),true),
inference(superposition,[],[f7038,f36]) ).
fof(f7107,plain,
! [X0,X1] : true = ifeq(q3(X0,X1),true,r4(b),true),
inference(forward_demodulation,[],[f7106,f1]) ).
fof(f7113,plain,
true = ifeq(true,true,r4(b),true),
inference(superposition,[],[f7107,f4759]) ).
fof(f7114,plain,
true = r4(b),
inference(forward_demodulation,[],[f7113,f1]) ).
fof(f7116,plain,
$false,
inference(forward_subsumption_resolution,[],[f7114,f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN193-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n003.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:39:57 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.74/1.46 % (1707940)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.74/1.46 % (1708088)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4093108966:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.74/1.46 % (1708083)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=4157006814:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.74/1.46 % (1708085)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3980741150:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.74/1.46 % (1708084)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=464564270:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.74/1.46 % (1708082)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=4212643313:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.74/1.46 % (1708087)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=858665288:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.74/1.46 % (1708086)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=78489601:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.74/1.46 % (1708086)Refutation not found, incomplete strategy
% 4.74/1.46 % (1708086)------------------------------
% 4.74/1.46 % (1708086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.46 % (1708086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.46 % (1708086)CaDiCaL version: 2.1.3
% 4.74/1.46 % (1708086)Termination reason: Refutation not found, incomplete strategy
% 4.74/1.46 % (1708086)Time elapsed: 0.020 s
% 4.74/1.46 % (1708086)Peak memory usage: 89 MB
% 4.74/1.46 % (1708086)Instructions burned: 69 (million)
% 4.74/1.46 % (1708085)Instruction limit reached!
% 4.74/1.46 % (1708085)------------------------------
% 4.74/1.46 % (1708085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.46 % (1708085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.46 % (1708085)CaDiCaL version: 2.1.3
% 4.74/1.46 % (1708085)Termination reason: Instruction limit
% 4.74/1.46 % (1708085)Termination phase: Saturation
% 4.74/1.46 % (1708085)Time elapsed: 0.075 s
% 4.74/1.46 % (1708085)Peak memory usage: 88 MB
% 4.74/1.46 % (1708085)Instructions burned: 137 (million)
% 4.74/1.46 % (1708087)Instruction limit reached!
% 4.74/1.46 % (1708087)------------------------------
% 4.74/1.46 % (1708087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.46 % (1708087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.46 % (1708087)CaDiCaL version: 2.1.3
% 4.74/1.46 % (1708087)Termination reason: Instruction limit
% 4.74/1.46 % (1708087)Termination phase: Saturation
% 4.74/1.46 % (1708087)Time elapsed: 0.148 s
% 4.74/1.46 % (1708087)Peak memory usage: 91 MB
% 4.74/1.46 % (1708087)Instructions burned: 257 (million)
% 4.74/1.46 % (1708088)First to succeed.
% 4.74/1.46 % (1708088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1707940"
% 4.74/1.46 % (1708086)------------------------------
% 4.74/1.46 % (1708086)------------------------------
% 4.74/1.46 % (1708150)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1449831705:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.74/1.46 % (1708179)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3588148166:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 4.74/1.46 % (1708192)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3237017888:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.74/1.46 % (1708192)Instruction limit reached!
% 4.74/1.46 % (1708192)------------------------------
% 4.74/1.46 % (1708192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.46 % (1708192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.46 % (1708192)CaDiCaL version: 2.1.3
% 4.74/1.46 % (1708192)Termination reason: Instruction limit
% 4.74/1.46 % (1708192)Termination phase: Saturation
% 4.74/1.46 % (1708192)Time elapsed: 0.064 s
% 4.74/1.46 % (1708192)Peak memory usage: 90 MB
% 4.74/1.46 % (1708192)Instructions burned: 217 (million)
% 4.74/1.46 % (1708088)Refutation found. Thanks to Tanya!
% 4.74/1.46 % SZS status Unsatisfiable for theBenchmark
% 4.74/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 4.74/1.46 % (1708088)------------------------------
% 4.74/1.46 % (1708088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.46 % (1708088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.46 % (1708088)CaDiCaL version: 2.1.3
% 4.74/1.46 % (1708088)Termination reason: Refutation
% 4.74/1.46 % (1708088)Time elapsed: 0.155 s
% 4.74/1.46 % (1708088)Peak memory usage: 91 MB
% 4.74/1.46 % (1708088)Instructions burned: 270 (million)
% 4.74/1.46 % (1708088)------------------------------
% 4.74/1.46 % (1708088)------------------------------
% 4.74/1.46 % (1707940)Success in time 0.599 s
% 4.74/1.46 % Vampire exiting
%------------------------------------------------------------------------------