%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR073-10 : TPTP v9.3.1. Released v7.5.0.
% 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 09:42:37 AM UTC 2026
% Result : Unsatisfiable 6.03s 2.73s
% Output : Refutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f5120,axiom,
! [X0,X1] : ifeq4(tptptypes_9_401(X0,X1),true,tptptypes_8_400(X1,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_2560) ).
fof(f5121,plain,
! [X0,X1] : true = ifeq4(tptptypes_9_401(X0,X1),true,tptptypes_8_400(X1,X0),true),
inference(reorient_equations,[],[f5120]) ).
fof(f22726,axiom,
! [X0,X1] : ifeq4(tptptypes_6_388(X0,X1),true,tptptypes_5_387(X0,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_11372) ).
fof(f22727,plain,
! [X0,X1] : true = ifeq4(tptptypes_6_388(X0,X1),true,tptptypes_5_387(X0,X1),true),
inference(reorient_equations,[],[f22726]) ).
fof(f33120,axiom,
! [X0,X1] : ifeq4(tptptypes_7_396(X0,X1),true,tptptypes_6_388(X0,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_16571) ).
fof(f33121,plain,
! [X0,X1] : true = ifeq4(tptptypes_7_396(X0,X1),true,tptptypes_6_388(X0,X1),true),
inference(reorient_equations,[],[f33120]) ).
fof(f52998,axiom,
! [X0,X1] : ifeq4(tptptypes_8_400(X0,X1),true,tptptypes_7_396(X0,X1),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_26515) ).
fof(f52999,plain,
! [X0,X1] : true = ifeq4(tptptypes_8_400(X0,X1),true,tptptypes_7_396(X0,X1),true),
inference(reorient_equations,[],[f52998]) ).
fof(f54476,axiom,
tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_27254) ).
fof(f54477,plain,
true = tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
inference(reorient_equations,[],[f54476]) ).
fof(f88432,negated_conjecture,
! [X0] : ifeq3(tptptypes_5_387(X0,c_pushingababycarriage),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query223_1) ).
fof(f88433,plain,
! [X0] : b = ifeq3(tptptypes_5_387(X0,c_pushingababycarriage),true,a,b),
inference(reorient_equations,[],[f88432]) ).
fof(f88434,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f88511,plain,
true = ifeq4(true,true,tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage),true),
inference(superposition,[],[f5121,f54477]) ).
fof(f88512,plain,
true = tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage),
inference(forward_demodulation,[],[f88511,f1]) ).
fof(f88523,plain,
true = ifeq4(true,true,tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage),true),
inference(superposition,[],[f52999,f88512]) ).
fof(f88524,plain,
true = tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage),
inference(forward_demodulation,[],[f88523,f1]) ).
fof(f88528,plain,
true = ifeq4(true,true,tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage),true),
inference(superposition,[],[f33121,f88524]) ).
fof(f88534,plain,
true = tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage),
inference(forward_demodulation,[],[f88528,f1]) ).
fof(f88538,plain,
true = ifeq4(true,true,tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage),true),
inference(superposition,[],[f22727,f88534]) ).
fof(f88544,plain,
true = tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage),
inference(forward_demodulation,[],[f88538,f1]) ).
fof(f88547,plain,
b = ifeq3(true,true,a,b),
inference(superposition,[],[f88433,f88544]) ).
fof(f88554,plain,
a = b,
inference(forward_demodulation,[],[f88547,f2]) ).
fof(f88555,plain,
$false,
inference(forward_subsumption_resolution,[],[f88554,f88434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR073-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:25:15 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 6.03/2.73 % (3570458)Detected a unit-equality problem, will run specialized UEQ schedule.
% 6.03/2.73 % (3570464)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=4234031661:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2987 on theBenchmark for (2987ds/130792Mi)
% 6.03/2.73 % (3570465)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=444220018:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2987 on theBenchmark for (2987ds/130716Mi)
% 6.03/2.73 % (3570468)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3452622232:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2987 on theBenchmark for (2987ds/257Mi)
% 6.03/2.73 % (3570463)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=682765167:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2987 on theBenchmark for (2987ds/138329Mi)
% 6.03/2.73 % (3570467)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1353636919:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2987 on theBenchmark for (2987ds/181Mi)
% 6.03/2.73 % (3570469)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2800388484:i=1187:sd=4:av=off:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/1187Mi)
% 6.03/2.73 % (3570466)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3303270881:i=136:bd=preordered:ins=2:av=off_2987 on theBenchmark for (2987ds/136Mi)
% 6.03/2.73 % (3570467)Instruction limit reached!
% 6.03/2.73 % (3570467)------------------------------
% 6.03/2.73 % (3570467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/2.73 % (3570467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/2.73 % (3570467)CaDiCaL version: 2.1.3
% 6.03/2.73 % (3570467)Termination reason: Instruction limit
% 6.03/2.73 % (3570467)Termination phase: Property scanning
% 6.03/2.73 % (3570467)Time elapsed: 0.087 s
% 6.03/2.73 % (3570467)Peak memory usage: 114 MB
% 6.03/2.73 % (3570467)Instructions burned: 182 (million)
% 6.03/2.73 % (3570468)Instruction limit reached!
% 6.03/2.73 % (3570468)------------------------------
% 6.03/2.73 % (3570468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/2.73 % (3570468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/2.73 % (3570468)CaDiCaL version: 2.1.3
% 6.03/2.73 % (3570468)Termination reason: Instruction limit
% 6.03/2.73 % (3570468)Termination phase: Saturation
% 6.03/2.73 % (3570468)Time elapsed: 0.149 s
% 6.03/2.73 % (3570468)Peak memory usage: 122 MB
% 6.03/2.73 % (3570468)Instructions burned: 258 (million)
% 6.03/2.73 % (3570469)First to succeed.
% 6.03/2.73 % (3570469)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3570458"
% 6.03/2.73 % (3570466)Instruction limit reached!
% 6.03/2.73 % (3570466)------------------------------
% 6.03/2.73 % (3570466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/2.73 % (3570466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/2.73 % (3570466)CaDiCaL version: 2.1.3
% 6.03/2.73 % (3570466)Termination reason: Instruction limit
% 6.03/2.73 % (3570466)Termination phase: Property scanning
% 6.03/2.73 % (3570466)Time elapsed: 0.120 s
% 6.03/2.73 % (3570466)Peak memory usage: 118 MB
% 6.03/2.73 % (3570466)Instructions burned: 137 (million)
% 6.03/2.73 % (3570477)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=948645302:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2985 on theBenchmark for (2985ds/2051Mi)
% 6.03/2.73 % (3570478)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2351418616:i=4948:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/4948Mi)
% 6.03/2.73 % (3570479)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1149453403:i=215:ep=RSTC_2984 on theBenchmark for (2984ds/215Mi)
% 6.03/2.73 % (3570469)Refutation found. Thanks to Tanya!
% 6.03/2.73 % SZS status Unsatisfiable for theBenchmark
% 6.03/2.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.03/2.73 % (3570469)------------------------------
% 6.03/2.73 % (3570469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.03/2.73 % (3570469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.03/2.73 % (3570469)CaDiCaL version: 2.1.3
% 6.03/2.73 % (3570469)Termination reason: Refutation
% 6.03/2.73 % (3570469)Time elapsed: 0.157 s
% 6.03/2.73 % (3570469)Peak memory usage: 120 MB
% 6.03/2.73 % (3570469)Instructions burned: 197 (million)
% 6.03/2.73 % (3570469)------------------------------
% 6.03/2.73 % (3570469)------------------------------
% 6.03/2.73 % (3570458)Success in time 1.828 s
% 6.03/2.73 % Vampire exiting
%------------------------------------------------------------------------------