%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:43:57 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 19 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',range_of) ).
fof(f90,axiom,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| domain_of(domain_of(X1)) = domain_of(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',compatible2) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| domain_of(X0) = domain_of(domain_of(X1)) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,axiom,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| subclass(range_of(X0),domain_of(domain_of(X2))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',compatible3) ).
fof(f122,negated_conjecture,
compatible(xh1,xf1,xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_function_property3_1) ).
fof(f123,negated_conjecture,
compatible(xh2,xf2,xf3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_function_property3_2) ).
fof(f124,negated_conjecture,
~ subclass(range_of(xh1),domain_of(xh2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_function_property3_3) ).
fof(f126,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| subclass(domain_of(domain_of(flip(cross_product(X0,universal_class)))),domain_of(domain_of(X2))) ),
inference(definition_unfolding,[],[f92,f126]) ).
fof(f187,plain,
~ subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(xh2)),
inference(definition_unfolding,[],[f124,f126]) ).
fof(f326,plain,
domain_of(xh2) = domain_of(domain_of(xf2)),
inference(resolution,[],[f91,f123]) ).
fof(f432,plain,
subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(domain_of(xf2))),
inference(resolution,[],[f171,f122]) ).
fof(f434,plain,
subclass(domain_of(domain_of(flip(cross_product(xh1,universal_class)))),domain_of(xh2)),
inference(forward_demodulation,[],[f432,f326]) ).
fof(f435,plain,
$false,
inference(forward_subsumption_resolution,[],[f434,f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 02:11:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.48 % (1804388)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (1804395)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1250376393:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (1804394)% WARNING: option uhcvi not known.
% 0.17/0.48 % (1804394)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3321250710:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (1804393)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2603129285_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (1804397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2352680866:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (1804398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=816698830:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (1804396)dis+10_1_sil=32000:sp=arity:random_seed=281419522:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (1804399)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=838257489:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (1804396) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1804388-1804396"...
% 0.17/0.48 % (1804394) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1804388-1804394"...
% 0.17/0.48 % (1804397) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1804388-1804397"...
% 0.17/0.48 % (1804398) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1804388-1804398"...
% 0.17/0.48 % (1804396)...printing done.
% 0.17/0.48 % (1804394)...printing done.
% 0.17/0.48 % (1804396)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (1804396)------------------------------
% 0.17/0.48 % (1804396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (1804396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (1804396)CaDiCaL version: 2.1.3
% 0.17/0.48 % (1804396)Termination reason: Refutation
% 0.17/0.48 % (1804396)Time elapsed: 0.009 s
% 0.17/0.48 % (1804396)Peak memory usage: 12 MB
% 0.17/0.48 % (1804396)Instructions burned: 12 (million)
% 0.17/0.48 % (1804388)Success in time 0.045 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------