%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COL046-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 09:37:44 AM UTC 2026
% Result : Unsatisfiable 26.53s 4.83s
% Output : Refutation 26.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f3,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).
fof(f4,negated_conjecture,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f7,plain,
! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))),
inference(superposition,[],[f3,f2]) ).
fof(f24,plain,
! [X2,X0,X1] : apply(X1,apply(apply(X0,X1),X2)) = apply(apply(apply(apply(s,b),X0),X1),X2),
inference(superposition,[],[f2,f1]) ).
fof(f132,plain,
! [X2,X0,X1] : apply(apply(apply(apply(s,b),X0),X2),apply(X1,X2)) = apply(X2,apply(apply(apply(s,X0),X1),X2)),
inference(superposition,[],[f24,f1]) ).
fof(f219,plain,
! [X2,X0,X1] : apply(apply(apply(s,apply(apply(s,b),X1)),X2),X0) = apply(X0,apply(apply(apply(s,X1),X2),X0)),
inference(superposition,[],[f1,f132]) ).
fof(f1297,plain,
! [X0,X1] : apply(apply(apply(s,X0),X1),f(apply(apply(s,X0),X1))) != apply(apply(apply(s,apply(apply(s,b),X0)),X1),f(apply(apply(s,X0),X1))),
inference(superposition,[],[f4,f219]) ).
fof(f1372,plain,
! [X0,X1] : apply(apply(apply(s,apply(X0,apply(apply(b,apply(s,b)),X0))),X1),f(apply(apply(s,apply(X0,apply(apply(b,apply(s,b)),X0))),X1))) != apply(apply(apply(s,apply(m,apply(apply(b,apply(s,b)),X0))),X1),f(apply(apply(s,apply(X0,apply(apply(b,apply(s,b)),X0))),X1))),
inference(superposition,[],[f1297,f7]) ).
fof(f1493,plain,
$false,
inference(equality_resolution,[],[f1372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL046-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.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 21:31:17 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 26.53/4.83 % (2374003)Detected a unit-equality problem, will run specialized UEQ schedule.
% 26.53/4.83 % (2374012)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2198610067:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 26.53/4.83 % (2374008)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=1523074440:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 26.53/4.83 % (2374009)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=1889372281:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 26.53/4.83 % (2374013)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1817706987:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 26.53/4.83 % (2374010)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2955128156:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 26.53/4.83 % (2374011)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=478502912:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 26.53/4.83 % (2374014)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1421447408:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 26.53/4.83 % (2374012)Instruction limit reached!
% 26.53/4.83 % (2374012)------------------------------
% 26.53/4.83 % (2374012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374012)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374012)Termination reason: Instruction limit
% 26.53/4.83 % (2374012)Termination phase: Saturation
% 26.53/4.83 % (2374012)Time elapsed: 0.090 s
% 26.53/4.83 % (2374012)Peak memory usage: 89 MB
% 26.53/4.83 % (2374012)Instructions burned: 181 (million)
% 26.53/4.83 % (2374011)Instruction limit reached!
% 26.53/4.83 % (2374011)------------------------------
% 26.53/4.83 % (2374011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374011)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374011)Termination reason: Instruction limit
% 26.53/4.83 % (2374011)Termination phase: Saturation
% 26.53/4.83 % (2374011)Time elapsed: 0.137 s
% 26.53/4.83 % (2374011)Peak memory usage: 89 MB
% 26.53/4.83 % (2374011)Instructions burned: 136 (million)
% 26.53/4.83 % (2374013)Instruction limit reached!
% 26.53/4.83 % (2374013)------------------------------
% 26.53/4.83 % (2374013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374013)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374013)Termination reason: Instruction limit
% 26.53/4.83 % (2374013)Termination phase: Saturation
% 26.53/4.83 % (2374013)Time elapsed: 0.271 s
% 26.53/4.83 % (2374013)Peak memory usage: 91 MB
% 26.53/4.83 % (2374013)Instructions burned: 257 (million)
% 26.53/4.83 % (2374022)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=4064531035:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 26.53/4.83 % (2374023)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=336482221:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 26.53/4.83 % (2374024)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=687022454:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 26.53/4.83 % (2374024)Instruction limit reached!
% 26.53/4.83 % (2374024)------------------------------
% 26.53/4.83 % (2374024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374024)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374024)Termination reason: Instruction limit
% 26.53/4.83 % (2374024)Termination phase: Saturation
% 26.53/4.83 % (2374024)Time elapsed: 0.208 s
% 26.53/4.83 % (2374024)Peak memory usage: 89 MB
% 26.53/4.83 % (2374024)Instructions burned: 216 (million)
% 26.53/4.83 % (2374014)Instruction limit reached!
% 26.53/4.83 % (2374014)------------------------------
% 26.53/4.83 % (2374014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374014)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374014)Termination reason: Instruction limit
% 26.53/4.83 % (2374014)Termination phase: Saturation
% 26.53/4.83 % (2374014)Time elapsed: 1.096 s
% 26.53/4.83 % (2374014)Peak memory usage: 104 MB
% 26.53/4.83 % (2374014)Instructions burned: 1187 (million)
% 26.53/4.83 % (2374028)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=2477086319:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2989 on theBenchmark for (2989ds/317Mi)
% 26.53/4.83 % (2374030)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2811272095:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 26.53/4.83 % (2374028)Instruction limit reached!
% 26.53/4.83 % (2374028)------------------------------
% 26.53/4.83 % (2374028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374028)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374028)Termination reason: Instruction limit
% 26.53/4.83 % (2374028)Termination phase: Saturation
% 26.53/4.83 % (2374028)Time elapsed: 0.326 s
% 26.53/4.83 % (2374028)Peak memory usage: 93 MB
% 26.53/4.83 % (2374028)Instructions burned: 317 (million)
% 26.53/4.83 % (2374022)Instruction limit reached!
% 26.53/4.83 % (2374022)------------------------------
% 26.53/4.83 % (2374022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374022)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374022)Termination reason: Instruction limit
% 26.53/4.83 % (2374022)Termination phase: Saturation
% 26.53/4.83 % (2374022)Time elapsed: 1.141 s
% 26.53/4.83 % (2374022)Peak memory usage: 141 MB
% 26.53/4.83 % (2374022)Instructions burned: 2051 (million)
% 26.53/4.83 % (2374033)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=50196457:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 26.53/4.83 % (2374032)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3865233797:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 26.53/4.83 % (2374033)First to succeed.
% 26.53/4.83 % (2374033)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2374003"
% 26.53/4.83 % (2374033)Refutation found. Thanks to Tanya!
% 26.53/4.83 % SZS status Unsatisfiable for theBenchmark
% 26.53/4.83 % SZS output start Proof for theBenchmark
% See solution above
% 26.53/4.83 % (2374033)------------------------------
% 26.53/4.83 % (2374033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.53/4.83 % (2374033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.53/4.83 % (2374033)CaDiCaL version: 2.1.3
% 26.53/4.83 % (2374033)Termination reason: Refutation
% 26.53/4.83 % (2374033)Time elapsed: 1.203 s
% 26.53/4.83 % (2374033)Peak memory usage: 134 MB
% 26.53/4.83 % (2374033)Instructions burned: 1506 (million)
% 26.53/4.83 % (2374033)------------------------------
% 26.53/4.83 % (2374033)------------------------------
% 26.53/4.83 % (2374003)Success in time 3.616 s
% 26.53/4.83 % Vampire exiting
%------------------------------------------------------------------------------