%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET563-6 : 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 : n011.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 12:41:10 PM UTC 2026
% Result : Unsatisfiable 2.72s 1.36s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 4 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 : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
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(f92,axiom,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| subclass(range_of(X0),domain_of(domain_of(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible3) ).
fof(f122,negated_conjecture,
compatible(xh1,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_1) ).
fof(f123,negated_conjecture,
compatible(xh2,xf2,xf3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_2) ).
fof(f124,negated_conjecture,
~ subclass(range_of(xh1),domain_of(xh2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_3) ).
fof(f125,plain,
~ subclass(domain_of(inverse(xh1)),domain_of(xh2)),
inference(definition_unfolding,[],[f124,f40]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ compatible(X0,X1,X2)
| subclass(domain_of(inverse(X0)),domain_of(domain_of(X2))) ),
inference(definition_unfolding,[],[f92,f40]) ).
fof(f136,plain,
domain_of(xh2) = domain_of(domain_of(xf2)),
inference(resolution,[],[f91,f123]) ).
fof(f137,plain,
subclass(domain_of(inverse(xh1)),domain_of(domain_of(xf2))),
inference(resolution,[],[f127,f122]) ).
fof(f139,plain,
subclass(domain_of(inverse(xh1)),domain_of(xh2)),
inference(forward_demodulation,[],[f137,f136]) ).
fof(f140,plain,
$false,
inference(forward_subsumption_resolution,[],[f139,f125]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 02:10:46 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.72/1.36 % (2953166)Input is clausal, will run a generic CNF schedule.
% 2.72/1.36 % (2953174)lrs+10_1_sil=8000:sp=occurrence:random_seed=417413582:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.72/1.36 % (2953174)First to succeed.
% 2.72/1.36 % (2953174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2953166"
% 2.72/1.36 % (2953177)dis-21_1_sil=8000:lcm=predicate:random_seed=3124651567: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)
% 2.72/1.36 % (2953171)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=2764129319:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.72/1.36 % (2953176)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1416890528:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.72/1.36 % (2953173)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3687641699:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.72/1.36 % (2953175)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=873914644:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.72/1.36 % (2953172)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=934029313:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.72/1.36 % (2953175)Also succeeded, but the first one will report.
% 2.72/1.36 % (2953176)Also succeeded, but the first one will report.
% 2.72/1.36 % (2953177)Instruction limit reached!
% 2.72/1.36 % (2953177)------------------------------
% 2.72/1.36 % (2953177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (2953177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (2953177)CaDiCaL version: 2.1.3
% 2.72/1.36 % (2953177)Termination reason: Instruction limit
% 2.72/1.36 % (2953177)Termination phase: Saturation
% 2.72/1.36 % (2953177)Time elapsed: 0.072 s
% 2.72/1.36 % (2953177)Peak memory usage: 89 MB
% 2.72/1.36 % (2953177)Instructions burned: 117 (million)
% 2.72/1.36 % (2953174)Refutation found. Thanks to Tanya!
% 2.72/1.36 % SZS status Unsatisfiable for theBenchmark
% 2.72/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/1.36 % (2953174)------------------------------
% 2.72/1.36 % (2953174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.36 % (2953174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.36 % (2953174)CaDiCaL version: 2.1.3
% 2.72/1.36 % (2953174)Termination reason: Refutation
% 2.72/1.36 % (2953174)Time elapsed: 0.001 s
% 2.72/1.36 % (2953174)Peak memory usage: 88 MB
% 2.72/1.36 % (2953174)Instructions burned: 1 (million)
% 2.72/1.36 % (2953174)------------------------------
% 2.72/1.36 % (2953174)------------------------------
% 2.72/1.36 % (2953166)Success in time 0.303 s
% 2.72/1.36 % Vampire exiting
%------------------------------------------------------------------------------