%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 02:01:03 PM UTC 2026
% Result : Unsatisfiable 5.50s 1.56s
% Output : Refutation 5.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,negated_conjecture,
p18(c21) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p18_2) ).
fof(f4,plain,
true = p18(c21),
inference(reorient_equations,[],[f3]) ).
fof(f5,negated_conjecture,
! [X0] : p7(X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
fof(f6,plain,
! [X0] : true = p7(X0,X0),
inference(reorient_equations,[],[f5]) ).
fof(f13,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f14,plain,
true = p3(f4(f6(c21)),c22),
inference(reorient_equations,[],[f13]) ).
fof(f45,negated_conjecture,
! [X2,X3,X0,X1] : ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_23) ).
fof(f46,plain,
! [X2,X3,X0,X1] : true = ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true),
inference(reorient_equations,[],[f45]) ).
fof(f49,negated_conjecture,
! [X2,X3,X0,X1] : ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_25) ).
fof(f50,plain,
! [X2,X3,X0,X1] : true = ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
! [X2,X3,X0,X1] : ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_26) ).
fof(f52,plain,
! [X2,X3,X0,X1] : true = ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p19_27) ).
fof(f54,plain,
true != p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X0] : ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19_28) ).
fof(f56,plain,
! [X0] : true = ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true),
inference(reorient_equations,[],[f55]) ).
fof(f183,plain,
! [X2,X0,X1] : true = ifeq(p3(X0,X1),true,ifeq(true,true,p7(f11(X2,X0),f11(X2,X1)),true),true),
inference(superposition,[],[f50,f6]) ).
fof(f202,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(p7(X1,X2),true,p7(f10(X1,X0),f10(X2,X0)),true),true),
inference(superposition,[],[f52,f6]) ).
fof(f252,plain,
! [X2,X0,X1] : true = ifeq(p19(X0,X1),true,ifeq(true,true,ifeq(p7(X0,X2),true,p19(X2,X1),true),true),true),
inference(superposition,[],[f46,f6]) ).
fof(f255,plain,
! [X0] : true = ifeq(true,true,ifeq(true,true,p7(f11(X0,f4(f6(c21))),f11(X0,c22)),true),true),
inference(superposition,[],[f183,f14]) ).
fof(f280,plain,
true = ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(superposition,[],[f56,f4]) ).
fof(f310,plain,
true = p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(superposition,[],[f1,f280]) ).
fof(f320,plain,
! [X2,X0,X1] : true = ifeq(p19(X0,X2),true,ifeq(p7(X0,X1),true,p19(X1,X2),true),true),
inference(superposition,[],[f252,f1]) ).
fof(f334,plain,
! [X0] : true = ifeq(true,true,p7(f11(X0,f4(f6(c21))),f11(X0,c22)),true),
inference(superposition,[],[f255,f1]) ).
fof(f354,plain,
! [X0] : true = p7(f11(X0,f4(f6(c21))),f11(X0,c22)),
inference(forward_demodulation,[],[f334,f1]) ).
fof(f902,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(true,true,p7(f10(f11(X0,f4(f6(c21))),X1),f10(f11(X0,c22),X1)),true),true),
inference(superposition,[],[f202,f354]) ).
fof(f917,plain,
! [X0,X1] : true = ifeq(true,true,p7(f10(f11(X0,f4(f6(c21))),X1),f10(f11(X0,c22),X1)),true),
inference(forward_demodulation,[],[f902,f1]) ).
fof(f943,plain,
! [X0,X1] : true = p7(f10(f11(X0,f4(f6(c21))),X1),f10(f11(X0,c22),X1)),
inference(forward_demodulation,[],[f917,f1]) ).
fof(f3540,plain,
! [X0] : true = ifeq(true,true,ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0),true,p19(X0,f8(f9(c21))),true),true),
inference(superposition,[],[f320,f310]) ).
fof(f3545,plain,
! [X0] : true = ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0),true,p19(X0,f8(f9(c21))),true),
inference(forward_demodulation,[],[f3540,f1]) ).
fof(f15069,plain,
true = ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true),
inference(superposition,[],[f3545,f943]) ).
fof(f15155,plain,
true = p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),
inference(forward_demodulation,[],[f15069,f1]) ).
fof(f15169,plain,
$false,
inference(forward_subsumption_resolution,[],[f15155,f54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN598-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n002.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 16:36:53 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.50/1.56 % (500561)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.50/1.56 % (500687)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=3191510311:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 5.50/1.56 % (500692)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=643775239:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 5.50/1.56 % (500688)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=54100041:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 5.50/1.56 % (500690)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2681309834:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 5.50/1.56 % (500686)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=2662948622:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 5.50/1.56 % (500689)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1572074182:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 5.50/1.56 % (500691)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2812559412:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 5.50/1.56 % (500689)Instruction limit reached!
% 5.50/1.56 % (500689)------------------------------
% 5.50/1.56 % (500689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.56 % (500689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.56 % (500689)CaDiCaL version: 2.1.3
% 5.50/1.56 % (500689)Termination reason: Instruction limit
% 5.50/1.56 % (500689)Termination phase: Saturation
% 5.50/1.56 % (500689)Time elapsed: 0.076 s
% 5.50/1.56 % (500689)Peak memory usage: 89 MB
% 5.50/1.56 % (500689)Instructions burned: 138 (million)
% 5.50/1.56 % (500690)Instruction limit reached!
% 5.50/1.56 % (500690)------------------------------
% 5.50/1.56 % (500690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.56 % (500690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.56 % (500690)CaDiCaL version: 2.1.3
% 5.50/1.56 % (500690)Termination reason: Instruction limit
% 5.50/1.56 % (500690)Termination phase: Saturation
% 5.50/1.56 % (500690)Time elapsed: 0.092 s
% 5.50/1.56 % (500690)Peak memory usage: 90 MB
% 5.50/1.56 % (500690)Instructions burned: 181 (million)
% 5.50/1.56 % (500691)Instruction limit reached!
% 5.50/1.56 % (500691)------------------------------
% 5.50/1.56 % (500691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.56 % (500691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.56 % (500691)CaDiCaL version: 2.1.3
% 5.50/1.56 % (500691)Termination reason: Instruction limit
% 5.50/1.56 % (500691)Termination phase: Saturation
% 5.50/1.56 % (500691)Time elapsed: 0.155 s
% 5.50/1.56 % (500691)Peak memory usage: 93 MB
% 5.50/1.56 % (500691)Instructions burned: 257 (million)
% 5.50/1.56 % (500701)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4694876:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 5.50/1.56 % (500700)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1883454005:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 5.50/1.56 % (500702)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1910575119:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 5.50/1.56 % (500692)First to succeed.
% 5.50/1.56 % (500692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-500561"
% 5.50/1.56 % (500702)Instruction limit reached!
% 5.50/1.56 % (500702)------------------------------
% 5.50/1.56 % (500702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.56 % (500702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.56 % (500702)CaDiCaL version: 2.1.3
% 5.50/1.56 % (500702)Termination reason: Instruction limit
% 5.50/1.56 % (500702)Termination phase: Saturation
% 5.50/1.56 % (500702)Time elapsed: 0.106 s
% 5.50/1.56 % (500702)Peak memory usage: 91 MB
% 5.50/1.56 % (500702)Instructions burned: 216 (million)
% 5.50/1.56 % (500687)Also succeeded, but the first one will report.
% 5.50/1.56 % (500706)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3782373844:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 5.50/1.56 % (500692)Refutation found. Thanks to Tanya!
% 5.50/1.56 % SZS status Unsatisfiable for theBenchmark
% 5.50/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.50/1.56 % (500692)------------------------------
% 5.50/1.56 % (500692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.50/1.56 % (500692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.50/1.56 % (500692)CaDiCaL version: 2.1.3
% 5.50/1.56 % (500692)Termination reason: Refutation
% 5.50/1.56 % (500692)Time elapsed: 0.298 s
% 5.50/1.56 % (500692)Peak memory usage: 96 MB
% 5.50/1.56 % (500692)Instructions burned: 599 (million)
% 5.50/1.56 % (500692)------------------------------
% 5.50/1.56 % (500692)------------------------------
% 5.50/1.56 % (500561)Success in time 0.699 s
% 5.50/1.56 % Vampire exiting
%------------------------------------------------------------------------------