%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN080-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 01:49:36 PM UTC 2026
% Result : Unsatisfiable 2.47s 1.11s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 20 unt; 4 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] : f(X0) = g(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
f(f(a)) != f(g(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f3,definition,
sF0 = f(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
f(a) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = f(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
f(sF0) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = g(b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
g(b) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = f(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
f(sF2) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
sF1 != sF3,
inference(definition_folding,[],[f2,f10,f8,f6,f4]) ).
fof(f13,plain,
! [X0] : f(X0) = sF2,
inference(superposition,[],[f1,f8]) ).
fof(f17,plain,
sF0 = sF2,
inference(superposition,[],[f13,f4]) ).
fof(f18,plain,
sF1 = sF2,
inference(superposition,[],[f13,f6]) ).
fof(f19,plain,
sF2 = sF3,
inference(superposition,[],[f13,f10]) ).
fof(f26,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f18,f17]) ).
fof(f27,plain,
sF0 = sF3,
inference(forward_demodulation,[],[f19,f17]) ).
fof(f30,plain,
sF0 != sF1,
inference(superposition,[],[f11,f27]) ).
fof(f31,plain,
sF0 != sF0,
inference(forward_demodulation,[],[f30,f26]) ).
fof(f32,plain,
$false,
inference(trivial_inequality_removal,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN080-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 15:37:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 2.47/1.11 % (3712997)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.47/1.11 % (3713006)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3350074724:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 2.47/1.11 % (3713006)First to succeed.
% 2.47/1.11 % (3713006)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3712997"
% 2.47/1.11 % (3713004)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1022473914:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 2.47/1.11 % (3713002)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=312672057:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 2.47/1.11 % (3713003)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=280508034:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 2.47/1.11 % (3713007)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3300532913:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 2.47/1.11 % (3713008)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=616413577:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 2.47/1.11 % (3713008)Also succeeded, but the first one will report.
% 2.47/1.11 % (3713007)Also succeeded, but the first one will report.
% 2.47/1.11 % (3713005)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2427894554:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 2.47/1.11 % (3713005)Also succeeded, but the first one will report.
% 2.47/1.11 % (3713006)Refutation found. Thanks to Tanya!
% 2.47/1.11 % SZS status Unsatisfiable for theBenchmark
% 2.47/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.11 % (3713006)------------------------------
% 2.47/1.11 % (3713006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.11 % (3713006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.11 % (3713006)CaDiCaL version: 2.1.3
% 2.47/1.11 % (3713006)Termination reason: Refutation
% 2.47/1.11 % (3713006)Time elapsed: 0.001 s
% 2.47/1.11 % (3713006)Peak memory usage: 88 MB
% 2.47/1.11 % (3713006)Instructions burned: 1 (million)
% 2.47/1.11 % (3713006)------------------------------
% 2.47/1.11 % (3713006)------------------------------
% 2.47/1.11 % (3712997)Success in time 0.266 s
% 2.47/1.11 % Vampire exiting
%------------------------------------------------------------------------------