%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET296-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:43:37 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',range_of) ).
fof(f122,negated_conjecture,
domain_of(inverse(x)) != range_of(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_inverse_1) ).
fof(f124,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f185,plain,
domain_of(domain_of(flip(cross_product(x,universal_class)))) != domain_of(domain_of(flip(cross_product(x,universal_class)))),
inference(definition_unfolding,[],[f122,f39,f124]) ).
fof(f190,plain,
$false,
inference(trivial_inequality_removal,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET296-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 28 01:28:17 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 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
% 0.22/0.54 % (4132793)Will run a generic schedule for satisfiability detection.
% 0.22/0.54 % (4132798)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=476537084_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.54 % (4132799)% WARNING: option uhcvi not known.
% 0.22/0.54 % (4132799)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3590491282:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.54 % (4132800)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1491908150:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.54 % (4132801)dis+10_1_sil=32000:sp=arity:random_seed=327888649:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.54 % (4132802)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4112081158:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.54 % (4132803)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3822338030:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.54 % (4132804)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=422199610:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.54 % (4132801) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4132793-4132801"...
% 0.22/0.54 % (4132799) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4132793-4132799"...
% 0.22/0.54 % (4132803) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4132793-4132803"...
% 0.22/0.54 % (4132804) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4132793-4132804"...
% 0.22/0.54 % (4132800) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4132793-4132800"...
% 0.22/0.54 % (4132801)...printing done.
% 0.22/0.54 % (4132799)...printing done.
% 0.22/0.54 % (4132803)...printing done.
% 0.22/0.54 % (4132804)...printing done.
% 0.22/0.54 % (4132800)...printing done.
% 0.22/0.54 % (4132802) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4132793-4132802"...
% 0.22/0.54 % (4132801)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (4132801)------------------------------
% 0.22/0.54 % (4132801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.54 % (4132801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.54 % (4132801)CaDiCaL version: 2.1.3
% 0.22/0.54 % (4132801)Termination reason: Refutation
% 0.22/0.54 % (4132801)Time elapsed: 0.004 s
% 0.22/0.54 % (4132801)Peak memory usage: 11 MB
% 0.22/0.54 % (4132801)Instructions burned: 3 (million)
% 0.22/0.54 % (4132793)Success in time 0.046 s
% 0.22/0.55 % Vampire exiting
%------------------------------------------------------------------------------