%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT012-3 : 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 : 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 09:36:37 AM UTC 2026
% Result : Unsatisfiable 3.64s 1.31s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 9 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f7,axiom,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_domain) ).
fof(f20,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f21,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
fof(f22,plain,
domain(a) != codomain(domain(a)),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
there_exists(a),
inference(resolution,[],[f4,f20]) ).
fof(f37,plain,
! [X0] :
( ~ there_exists(compose(X0,domain(a)))
| domain(X0) != domain(a) ),
inference(superposition,[],[f22,f7]) ).
fof(f52,plain,
( ~ there_exists(a)
| domain(a) != domain(a) ),
inference(superposition,[],[f37,f10]) ).
fof(f55,plain,
~ there_exists(a),
inference(trivial_inequality_removal,[],[f52]) ).
fof(f57,plain,
$false,
inference(forward_subsumption_resolution,[],[f55,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT012-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.17 % Computer : n003.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.17 % WCLimit : 300
% 0.06/0.17 % DateTime : Mon Sep 28 21:15:12 UTC 2026
% 0.06/0.17 % CPUTime :
% 0.06/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 Running first-order theorem proving
% 0.06/0.19 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
% 3.64/1.31 % (2028564)Input is clausal, will run a generic CNF schedule.
% 3.64/1.31 % (2028656)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4027897531:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.64/1.31 % (2028653)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=416631824:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.64/1.31 % (2028652)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3660836368:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.64/1.31 % (2028656)First to succeed.
% 3.64/1.31 % (2028656)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2028564"
% 3.64/1.31 % (2028655)lrs+10_1_sil=8000:sp=occurrence:random_seed=506663730:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.64/1.31 % (2028655)Also succeeded, but the first one will report.
% 3.64/1.31 % (2028660)dis-21_1_sil=8000:lcm=predicate:random_seed=3824605781:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.64/1.31 % (2028657)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1835487985:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.64/1.31 % (2028657)Also succeeded, but the first one will report.
% 3.64/1.31 % (2028654)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3649260626:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.64/1.31 % (2028660)Instruction limit reached!
% 3.64/1.31 % (2028660)------------------------------
% 3.64/1.31 % (2028660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.31 % (2028660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.31 % (2028660)CaDiCaL version: 2.1.3
% 3.64/1.31 % (2028660)Termination reason: Instruction limit
% 3.64/1.31 % (2028660)Termination phase: Saturation
% 3.64/1.31 % (2028660)Time elapsed: 0.056 s
% 3.64/1.31 % (2028660)Peak memory usage: 90 MB
% 3.64/1.31 % (2028660)Instructions burned: 117 (million)
% 3.64/1.31 % (2028713)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1811765311:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.64/1.31 % (2028713)Also succeeded, but the first one will report.
% 3.64/1.31 % (2028656)Refutation found. Thanks to Tanya!
% 3.64/1.31 % SZS status Unsatisfiable for theBenchmark
% 3.64/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.64/1.31 % (2028656)------------------------------
% 3.64/1.31 % (2028656)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.64/1.31 % (2028656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.64/1.31 % (2028656)CaDiCaL version: 2.1.3
% 3.64/1.31 % (2028656)Termination reason: Refutation
% 3.64/1.31 % (2028656)Time elapsed: 0.003 s
% 3.64/1.31 % (2028656)Peak memory usage: 88 MB
% 3.64/1.31 % (2028656)Instructions burned: 2 (million)
% 3.64/1.31 % (2028656)------------------------------
% 3.64/1.31 % (2028656)------------------------------
% 3.64/1.31 % (2028564)Success in time 0.428 s
% 3.64/1.31 % Vampire exiting
%------------------------------------------------------------------------------