%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT018-3 : 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 : n007.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 09:36:57 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.32s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 24 ( 17 unt; 0 def)
% Number of atoms : 32 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
fof(f8,axiom,
! [X0,X1] :
( there_exists(compose(X0,X1))
| domain(X0) != codomain(X1)
| ~ there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition2) ).
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',associativity_of_compose) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).
fof(f20,axiom,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_ab_exists) ).
fof(f21,axiom,
there_exists(compose(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_bc_exists) ).
fof(f22,negated_conjecture,
~ there_exists(compose(a,compose(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_bc_exists) ).
fof(f25,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f20]) ).
fof(f26,plain,
there_exists(domain(b)),
inference(resolution,[],[f6,f21]) ).
fof(f34,plain,
there_exists(b),
inference(resolution,[],[f26,f4]) ).
fof(f35,plain,
domain(a) = codomain(b),
inference(resolution,[],[f7,f20]) ).
fof(f38,plain,
! [X0] :
( ~ there_exists(X0)
| codomain(X0) = domain(codomain(X0)) ),
inference(superposition,[],[f7,f11]) ).
fof(f40,plain,
! [X0,X1] : compose(X0,X1) = compose(codomain(X0),compose(X0,X1)),
inference(superposition,[],[f9,f11]) ).
fof(f50,plain,
( domain(a) != codomain(compose(b,c))
| ~ there_exists(domain(a)) ),
inference(resolution,[],[f8,f22]) ).
fof(f57,plain,
domain(a) != codomain(compose(b,c)),
inference(forward_subsumption_resolution,[],[f50,f25]) ).
fof(f132,plain,
codomain(b) = domain(codomain(b)),
inference(resolution,[],[f38,f34]) ).
fof(f135,plain,
domain(a) = domain(domain(a)),
inference(forward_demodulation,[],[f132,f35]) ).
fof(f184,plain,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(codomain(X0)) = codomain(compose(X0,X1)) ),
inference(superposition,[],[f7,f40]) ).
fof(f2104,plain,
codomain(compose(b,c)) = domain(codomain(b)),
inference(resolution,[],[f184,f21]) ).
fof(f2149,plain,
codomain(compose(b,c)) = domain(domain(a)),
inference(forward_demodulation,[],[f2104,f35]) ).
fof(f2154,plain,
domain(a) = codomain(compose(b,c)),
inference(forward_demodulation,[],[f2149,f135]) ).
fof(f2157,plain,
$false,
inference(forward_subsumption_resolution,[],[f2154,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT018-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n007.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 21:11:41 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 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
% 0.21/0.32 % (2832802)Will run a generic schedule for satisfiability detection.
% 0.21/0.32 % (2832812)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=619976252:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.32 % (2832808)% WARNING: option uhcvi not known.
% 0.21/0.32 % (2832807)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3686484561_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.32 % (2832808)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3520407659:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.32 % (2832809)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4238782481:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.32 % (2832811)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2608107625:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.32 % (2832810)dis+10_1_sil=32000:sp=arity:random_seed=460814419:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.32 % (2832813)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3432395441:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.32 % TRYING [1]
% 0.21/0.32 % TRYING [2]
% 0.21/0.32 % TRYING [3]
% 0.21/0.32 % TRYING [4]
% 0.21/0.32 % TRYING [5]
% 0.21/0.32 % (2832812)Instruction limit reached!
% 0.21/0.32 % (2832812)------------------------------
% 0.21/0.32 % (2832812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2832812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2832812)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2832812)Termination reason: Instruction limit
% 0.21/0.32 % (2832812)Termination phase: Saturation
% 0.21/0.32 % (2832812)Time elapsed: 0.042 s
% 0.21/0.32 % (2832812)Peak memory usage: 12 MB
% 0.21/0.32 % (2832812)Instructions burned: 134 (million)
% 0.21/0.32 % TRYING [6]
% 0.21/0.32 % (2832851)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1746925761:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.21/0.32 % TRYING [1]
% 0.21/0.32 % TRYING [2]
% 0.21/0.32 % TRYING [3]
% 0.21/0.32 % TRYING [4]
% 0.21/0.32 % TRYING [5]
% 0.21/0.32 % (2832811) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2832802-2832811"...
% 0.21/0.32 % (2832811)...printing done.
% 0.21/0.32 % (2832811)Refutation found. Thanks to Tanya!
% 0.21/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32 % (2832811)------------------------------
% 0.21/0.32 % (2832811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2832811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2832811)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2832811)Termination reason: Refutation
% 0.21/0.32 % (2832811)Time elapsed: 0.056 s
% 0.21/0.32 % (2832811)Peak memory usage: 12 MB
% 0.21/0.32 % (2832811)Instructions burned: 99 (million)
% 0.21/0.32 % (2832802)Success in time 0.081 s
% 0.21/0.32 % Vampire exiting
%------------------------------------------------------------------------------