%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n018.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 12:41:09 PM UTC 2026
% Result : Unsatisfiable 3.66s 1.49s
% Output : Refutation 3.66s
% 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/theBenchmark.p',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/theBenchmark.p',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(f198,plain,
domain_of(xh) = domain_of(domain_of(xf1)),
inference(resolution,[],[f91,f123]) ).
fof(f223,plain,
domain_of(xf1) = cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))),
inference(resolution,[],[f85,f122]) ).
fof(f224,plain,
cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
inference(forward_demodulation,[],[f223,f198]) ).
fof(f225,plain,
$false,
inference(forward_subsumption_resolution,[],[f224,f124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 02:12:18 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.66/1.49 % (2921367)Input is clausal, will run a generic CNF schedule.
% 3.66/1.49 % (2921372)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1543485597:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.49 % (2921373)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2666542419:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.49 % (2921374)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1946646331:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.49 % (2921378)dis-21_1_sil=8000:lcm=predicate:random_seed=1519496513:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.66/1.49 % (2921376)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3822656481:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.49 % (2921375)lrs+10_1_sil=8000:sp=occurrence:random_seed=2917796300:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.49 % (2921377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2356761370:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.49 % (2921375)First to succeed.
% 3.66/1.49 % (2921375)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2921367"
% 3.66/1.49 % (2921376)Also succeeded, but the first one will report.
% 3.66/1.49 % (2921377)Also succeeded, but the first one will report.
% 3.66/1.49 % (2921378)Instruction limit reached!
% 3.66/1.49 % (2921378)------------------------------
% 3.66/1.49 % (2921378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.49 % (2921378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.49 % (2921378)CaDiCaL version: 2.1.3
% 3.66/1.49 % (2921378)Termination reason: Instruction limit
% 3.66/1.49 % (2921378)Termination phase: Saturation
% 3.66/1.49 % (2921378)Time elapsed: 0.071 s
% 3.66/1.49 % (2921378)Peak memory usage: 89 MB
% 3.66/1.49 % (2921378)Instructions burned: 118 (million)
% 3.66/1.49 % (2921386)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=640661233:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.66/1.49 % (2921386)Refutation not found, incomplete strategy
% 3.66/1.49 % (2921386)------------------------------
% 3.66/1.49 % (2921386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.49 % (2921386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.49 % (2921386)CaDiCaL version: 2.1.3
% 3.66/1.49 % (2921386)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.49 % (2921386)Time elapsed: 0.003 s
% 3.66/1.49 % (2921386)Peak memory usage: 88 MB
% 3.66/1.49 % (2921386)Instructions burned: 2 (million)
% 3.66/1.49 % (2921375)Refutation found. Thanks to Tanya!
% 3.66/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.66/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.49 % (2921375)------------------------------
% 3.66/1.49 % (2921375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.49 % (2921375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.49 % (2921375)CaDiCaL version: 2.1.3
% 3.66/1.49 % (2921375)Termination reason: Refutation
% 3.66/1.49 % (2921375)Time elapsed: 0.005 s
% 3.66/1.49 % (2921375)Peak memory usage: 88 MB
% 3.66/1.49 % (2921375)Instructions burned: 6 (million)
% 3.66/1.49 % (2921375)------------------------------
% 3.66/1.49 % (2921375)------------------------------
% 3.66/1.49 % (2921367)Success in time 0.443 s
% 3.66/1.49 % Vampire exiting
%------------------------------------------------------------------------------