%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT006-4 : 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 : 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 09:36:53 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 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 : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
fof(f12,axiom,
there_exists(compose(d,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',da_exists) ).
fof(f14,axiom,
! [X0] :
( ~ there_exists(compose(d,X0))
| compose(d,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dx_equals_x) ).
fof(f15,negated_conjecture,
codomain(a) != d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
fof(f16,plain,
d != codomain(a),
inference(reorient_equations,[],[f15]) ).
fof(f140,plain,
( ~ there_exists(d)
| d = domain(d) ),
inference(superposition,[],[f14,f10]) ).
fof(f163,plain,
there_exists(domain(d)),
inference(resolution,[],[f6,f12]) ).
fof(f189,plain,
there_exists(d),
inference(resolution,[],[f163,f4]) ).
fof(f192,plain,
d = domain(d),
inference(forward_subsumption_resolution,[],[f140,f189]) ).
fof(f269,plain,
codomain(a) = domain(d),
inference(resolution,[],[f7,f12]) ).
fof(f280,plain,
d = codomain(a),
inference(forward_demodulation,[],[f269,f192]) ).
fof(f283,plain,
$false,
inference(forward_subsumption_resolution,[],[f280,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT006-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n015.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:16:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.26 % (3027756)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (3027772)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1295581054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (3027771)% WARNING: option uhcvi not known.
% 0.09/0.26 % (3027772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3027756-3027772"...
% 0.09/0.26 % (3027772)...printing done.
% 0.09/0.26 % (3027770)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=66703660_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % (3027771)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2176398542:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (3027774)dis+10_1_sil=32000:sp=arity:random_seed=914693788:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (3027775)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2484867322:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (3027772)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (3027772)------------------------------
% 0.09/0.26 % (3027772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (3027772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (3027772)CaDiCaL version: 2.1.3
% 0.09/0.26 % (3027772)Termination reason: Refutation
% 0.09/0.26 % (3027772)Time elapsed: 0.004 s
% 0.09/0.26 % (3027772)Peak memory usage: 11 MB
% 0.09/0.26 % (3027772)Instructions burned: 7 (million)
% 0.09/0.26 % (3027756)Success in time 0.03 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------