%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET558-6 : 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 : n009.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 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,axiom,
! [X0] :
( ~ operation(X0)
| cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',operation2) ).
fof(f85,plain,
! [X0] :
( ~ operation(X0)
| domain_of(X0) = cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) ),
inference(reorient_equations,[],[f84]) ).
fof(f90,axiom,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| domain_of(domain_of(X1)) = domain_of(X0) ),
file('/export/starexec/sandbox/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(f122,negated_conjecture,
operation(xf1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_1) ).
fof(f123,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_2) ).
fof(f124,negated_conjecture,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_3) ).
fof(f324,plain,
domain_of(xh) = domain_of(domain_of(xf1)),
inference(resolution,[],[f91,f123]) ).
fof(f401,plain,
domain_of(xf1) = cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),
inference(resolution,[],[f85,f122]) ).
fof(f402,plain,
cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
inference(forward_demodulation,[],[f401,f324]) ).
fof(f403,plain,
$false,
inference(forward_subsumption_resolution,[],[f402,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n009.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Mon Sep 28 02:09:45 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 0.16/0.49 % (2602140)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (2602145)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1797789576_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % (2602146)% WARNING: option uhcvi not known.
% 0.16/0.49 % (2602146)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2922666952:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (2602147)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2734440942:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % (2602148)dis+10_1_sil=32000:sp=arity:random_seed=2999734663:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (2602149)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2710549018:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (2602150)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2221711006:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (2602151)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=88634931:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % (2602148) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2602140-2602148"...
% 0.16/0.49 % (2602146) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2602140-2602146"...
% 0.16/0.49 % (2602146)...printing done.
% 0.16/0.49 % (2602148)...printing done.
% 0.16/0.49 % (2602149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2602140-2602149"...
% 0.16/0.49 % (2602150) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2602140-2602150"...
% 0.16/0.49 % (2602148)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (2602148)------------------------------
% 0.16/0.49 % (2602148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (2602148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (2602148)CaDiCaL version: 2.1.3
% 0.16/0.49 % (2602148)Termination reason: Refutation
% 0.16/0.49 % (2602148)Time elapsed: 0.008 s
% 0.16/0.49 % (2602148)Peak memory usage: 11 MB
% 0.16/0.49 % (2602148)Instructions burned: 11 (million)
% 0.16/0.49 % (2602140)Success in time 0.046 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------