%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT013-1 : 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 : n015.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 2.77s 1.15s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f12,axiom,
! [X0] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_domain) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity1) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f19,negated_conjecture,
domain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).
fof(f20,plain,
codomain(a) != domain(codomain(a)),
inference(reorient_equations,[],[f19]) ).
fof(f39,plain,
! [X0,X1] :
( ~ product(X0,domain(X0),X1)
| X0 = X1 ),
inference(resolution,[],[f18,f14]) ).
fof(f77,plain,
! [X0] :
( domain(X0) = X0
| ~ identity_map(X0)
| ~ defined(X0,domain(X0)) ),
inference(resolution,[],[f39,f16]) ).
fof(f78,plain,
! [X0] :
( ~ identity_map(X0)
| domain(X0) = X0 ),
inference(forward_subsumption_resolution,[],[f77,f12]) ).
fof(f84,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(resolution,[],[f78,f11]) ).
fof(f124,plain,
codomain(a) != codomain(a),
inference(superposition,[],[f20,f84]) ).
fof(f133,plain,
$false,
inference(trivial_inequality_removal,[],[f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT013-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.19 % Computer : n015.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 21:16:47 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running first-order theorem proving
% 0.11/0.23 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
% 2.77/1.15 % (3028668)Input is clausal, will run a generic CNF schedule.
% 2.77/1.15 % (3028754)lrs+10_1_sil=8000:sp=occurrence:random_seed=1112653757:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.15 % (3028754)First to succeed.
% 2.77/1.15 % (3028754)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3028668"
% 2.77/1.15 % (3028751)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2861561021:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.15 % (3028750)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=4079535473:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.15 % (3028756)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2940056369:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.15 % (3028757)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1380026776:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.15 % (3028753)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3536119523:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.15 % (3028756)Also succeeded, but the first one will report.
% 2.77/1.15 % (3028757)Also succeeded, but the first one will report.
% 2.77/1.15 % (3028758)dis-21_1_sil=8000:lcm=predicate:random_seed=5780327: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)
% 2.77/1.15 % (3028758)Instruction limit reached!
% 2.77/1.15 % (3028758)------------------------------
% 2.77/1.15 % (3028758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.15 % (3028758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.15 % (3028758)CaDiCaL version: 2.1.3
% 2.77/1.15 % (3028758)Termination reason: Instruction limit
% 2.77/1.15 % (3028758)Termination phase: Saturation
% 2.77/1.15 % (3028758)Time elapsed: 0.063 s
% 2.77/1.15 % (3028758)Peak memory usage: 88 MB
% 2.77/1.15 % (3028758)Instructions burned: 117 (million)
% 2.77/1.15 % (3028754)Refutation found. Thanks to Tanya!
% 2.77/1.15 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.15 % (3028754)------------------------------
% 2.77/1.15 % (3028754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.15 % (3028754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.15 % (3028754)CaDiCaL version: 2.1.3
% 2.77/1.15 % (3028754)Termination reason: Refutation
% 2.77/1.15 % (3028754)Time elapsed: 0.002 s
% 2.77/1.15 % (3028754)Peak memory usage: 88 MB
% 2.77/1.15 % (3028754)Instructions burned: 4 (million)
% 2.77/1.15 % (3028754)------------------------------
% 2.77/1.15 % (3028754)------------------------------
% 2.77/1.15 % (3028668)Success in time 0.29 s
% 2.77/1.15 % Vampire exiting
%------------------------------------------------------------------------------