%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT010-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 09:36:54 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.32s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 21 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_has_elements) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
fof(f12,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists) ).
fof(f13,negated_conjecture,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).
fof(f17,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f12]) ).
fof(f20,plain,
there_exists(a),
inference(resolution,[],[f17,f4]) ).
fof(f23,plain,
! [X0] :
( ~ there_exists(X0)
| codomain(X0) = domain(codomain(X0)) ),
inference(superposition,[],[f7,f11]) ).
fof(f25,plain,
! [X0,X1] : compose(X0,X1) = compose(codomain(X0),compose(X0,X1)),
inference(superposition,[],[f9,f11]) ).
fof(f54,plain,
codomain(a) = domain(codomain(a)),
inference(resolution,[],[f23,f20]) ).
fof(f87,plain,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(codomain(X0)) = codomain(compose(X0,X1)) ),
inference(superposition,[],[f7,f25]) ).
fof(f649,plain,
codomain(compose(a,b)) = domain(codomain(a)),
inference(resolution,[],[f87,f12]) ).
fof(f665,plain,
codomain(compose(a,b)) = codomain(a),
inference(forward_demodulation,[],[f649,f54]) ).
fof(f668,plain,
$false,
inference(forward_subsumption_resolution,[],[f665,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT010-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 % Computer : n013.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 21:12:37 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.28 Running first-order model finding
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.32 % (1587662)Will run a generic schedule for satisfiability detection.
% 0.23/0.32 % (1587668)% WARNING: option uhcvi not known.
% 0.23/0.32 % (1587668)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=721827304:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.32 % (1587667)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=919245374_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.32 % (1587670)dis+10_1_sil=32000:sp=arity:random_seed=254279208:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.32 % (1587672)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1708451612:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.32 % (1587671)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2754347676:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.23/0.32 % (1587673)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3248987893:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.32 % (1587669)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3494626575:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.32 % TRYING [1]
% 0.23/0.32 % TRYING [2]
% 0.23/0.32 % TRYING [3]
% 0.23/0.32 % TRYING [4]
% 0.23/0.32 % TRYING [5]
% 0.23/0.32 % (1587670) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1587662-1587670"...
% 0.23/0.32 % (1587672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1587662-1587672"...
% 0.23/0.32 % (1587670)...printing done.
% 0.23/0.32 % (1587672)...printing done.
% 0.23/0.32 % (1587669) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1587662-1587669"...
% 0.23/0.32 % (1587670)Refutation found. Thanks to Tanya!
% 0.23/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.32 % (1587670)------------------------------
% 0.23/0.32 % (1587670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (1587670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (1587670)CaDiCaL version: 2.1.3
% 0.23/0.32 % (1587670)Termination reason: Refutation
% 0.23/0.32 % (1587670)Time elapsed: 0.014 s
% 0.23/0.32 % (1587670)Peak memory usage: 11 MB
% 0.23/0.32 % (1587670)Instructions burned: 21 (million)
% 0.23/0.32 % (1587662)Success in time 0.037 s
% 0.23/0.32 % Vampire exiting
%------------------------------------------------------------------------------