%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT014-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:36:56 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.28s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 24 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 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 : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',codomain_has_elements) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).
fof(f20,axiom,
there_exists(codomain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_codomain_exists) ).
fof(f21,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
fof(f22,plain,
codomain(a) != codomain(codomain(a)),
inference(reorient_equations,[],[f21]) ).
fof(f28,plain,
! [X0] :
( there_exists(codomain(X0))
| ~ there_exists(X0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f36,plain,
~ there_exists(codomain(a)),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f38,plain,
~ there_exists(a),
inference(resolution,[],[f28,f36]) ).
fof(f66,plain,
! [X0] :
( there_exists(X0)
| domain(X0) = codomain(domain(X0)) ),
inference(superposition,[],[f30,f10]) ).
fof(f67,plain,
! [X0] :
( there_exists(X0)
| codomain(X0) = domain(codomain(X0)) ),
inference(superposition,[],[f30,f11]) ).
fof(f70,plain,
domain(codomain(a)) = codomain(domain(codomain(a))),
inference(resolution,[],[f66,f36]) ).
fof(f87,plain,
codomain(a) = domain(codomain(a)),
inference(resolution,[],[f67,f38]) ).
fof(f93,plain,
codomain(a) = codomain(codomain(a)),
inference(superposition,[],[f70,f87]) ).
fof(f100,plain,
codomain(a) != codomain(a),
inference(superposition,[],[f22,f93]) ).
fof(f108,plain,
$false,
inference(trivial_inequality_removal,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT014-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n020.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 21:14:20 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.28 % (568826)Will run a generic schedule for satisfiability detection.
% 0.18/0.28 % (568843)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2498225827_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.28 % TRYING [1]
% 0.18/0.28 % TRYING [2]
% 0.18/0.28 % TRYING [3]
% 0.18/0.28 % TRYING [4]
% 0.18/0.28 % (568844)% WARNING: option uhcvi not known.
% 0.18/0.28 % TRYING [5]
% 0.18/0.28 % (568844)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=276302489:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.28 % (568846)dis+10_1_sil=32000:sp=arity:random_seed=4275328675:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.28 % (568847)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3827848918:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.28 % (568845)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1766830943:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.28 % (568848)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4187246960:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.28 % (568849)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2684392325:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.28 % TRYING [6]
% 0.18/0.28 % (568849) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-568826-568849"...
% 0.18/0.28 % (568849)...printing done.
% 0.18/0.28 % (568845) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-568826-568845"...
% 0.18/0.28 % (568846) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-568826-568846"...
% 0.18/0.28 % (568849)Refutation found. Thanks to Tanya!
% 0.18/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.28 % (568849)------------------------------
% 0.18/0.28 % (568849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.28 % (568849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.28 % (568849)CaDiCaL version: 2.1.3
% 0.18/0.28 % (568849)Termination reason: Refutation
% 0.18/0.28 % (568849)Time elapsed: 0.003 s
% 0.18/0.28 % (568849)Peak memory usage: 12 MB
% 0.18/0.28 % (568849)Instructions burned: 3 (million)
% 0.18/0.28 % (568826)Success in time 0.051 s
% 0.18/0.28 % Vampire exiting
%------------------------------------------------------------------------------