%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET386-6 : 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 : n014.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 12:40:53 PM UTC 2026
% Result : Unsatisfiable 5.47s 1.72s
% Output : Refutation 5.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction2) ).
fof(f122,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_1) ).
fof(f123,plain,
x = restrict(x,universal_class,universal_class),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_2) ).
fof(f138,plain,
x = intersection(cross_product(universal_class,universal_class),x),
inference(definition_unfolding,[],[f123,f29]) ).
fof(f192,plain,
member(not_subclass_element(x,cross_product(universal_class,universal_class)),x),
inference(unit_resulting_resolution,[],[f2,f124]) ).
fof(f193,plain,
~ member(not_subclass_element(x,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f3,f124]) ).
fof(f195,plain,
! [X0] :
( member(X0,cross_product(universal_class,universal_class))
| ~ member(X0,x) ),
inference(superposition,[],[f21,f138]) ).
fof(f198,plain,
member(not_subclass_element(x,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)),
inference(unit_resulting_resolution,[],[f195,f192]) ).
fof(f207,plain,
$false,
inference(forward_subsumption_resolution,[],[f198,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET386-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.03/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Mon Sep 28 01:38:46 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 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
% 5.47/1.72 % (1351958)Input is clausal, will run a generic CNF schedule.
% 5.47/1.72 % (1351969)dis-21_1_sil=8000:lcm=predicate:random_seed=2352872617: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)
% 5.47/1.72 % (1351965)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2579983345:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.47/1.72 % (1351968)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3300373437:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.47/1.72 % (1351964)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=778589708:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.47/1.72 % (1351967)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1517110831:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.47/1.72 % (1351966)lrs+10_1_sil=8000:sp=occurrence:random_seed=2688646767:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.47/1.72 % (1351963)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=3623087061:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.47/1.72 % (1351966)Refutation not found, incomplete strategy
% 5.47/1.72 % (1351966)------------------------------
% 5.47/1.72 % (1351966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351966)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351966)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.72 % (1351966)Time elapsed: 0.003 s
% 5.47/1.72 % (1351966)Peak memory usage: 88 MB
% 5.47/1.72 % (1351966)Instructions burned: 2 (million)
% 5.47/1.72 % (1351969)Instruction limit reached!
% 5.47/1.72 % (1351969)------------------------------
% 5.47/1.72 % (1351969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351969)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351969)Termination reason: Instruction limit
% 5.47/1.72 % (1351969)Termination phase: Saturation
% 5.47/1.72 % (1351969)Time elapsed: 0.039 s
% 5.47/1.72 % (1351969)Peak memory usage: 89 MB
% 5.47/1.72 % (1351969)Instructions burned: 117 (million)
% 5.47/1.72 % (1351967)Instruction limit reached!
% 5.47/1.72 % (1351967)------------------------------
% 5.47/1.72 % (1351967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351967)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351967)Termination reason: Instruction limit
% 5.47/1.72 % (1351967)Termination phase: Saturation
% 5.47/1.72 % (1351967)Time elapsed: 0.066 s
% 5.47/1.72 % (1351967)Peak memory usage: 89 MB
% 5.47/1.72 % (1351967)Instructions burned: 114 (million)
% 5.47/1.72 % (1351968)Instruction limit reached!
% 5.47/1.72 % (1351968)------------------------------
% 5.47/1.72 % (1351968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351968)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351968)Termination reason: Instruction limit
% 5.47/1.72 % (1351968)Termination phase: Saturation
% 5.47/1.72 % (1351968)Time elapsed: 0.139 s
% 5.47/1.72 % (1351968)Peak memory usage: 90 MB
% 5.47/1.72 % (1351968)Instructions burned: 181 (million)
% 5.47/1.72 % (1351977)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=145793302:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.47/1.72 % (1351977)Refutation not found, incomplete strategy
% 5.47/1.72 % (1351977)------------------------------
% 5.47/1.72 % (1351977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351977)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351977)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.72 % (1351977)Time elapsed: 0.001 s
% 5.47/1.72 % (1351977)Peak memory usage: 88 MB
% 5.47/1.72 % (1351977)Instructions burned: 2 (million)
% 5.47/1.72 % (1351978)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2009065719:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.47/1.72 % (1351966)------------------------------
% 5.47/1.72 % (1351966)------------------------------
% 5.47/1.72 % (1351978)First to succeed.
% 5.47/1.72 % (1351978)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1351958"
% 5.47/1.72 % (1351977)------------------------------
% 5.47/1.72 % (1351977)------------------------------
% 5.47/1.72 % (1351980)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2106902357:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 5.47/1.72 % (1351982)lrs+10_64_to=lpo:sil=8000:random_seed=3346939417:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.47/1.72 % (1351982)Also succeeded, but the first one will report.
% 5.47/1.72 % (1351983)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3456107065:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.47/1.72 % (1351980)Instruction limit reached!
% 5.47/1.72 % (1351980)------------------------------
% 5.47/1.72 % (1351980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351980)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351980)Termination reason: Instruction limit
% 5.47/1.72 % (1351980)Termination phase: Saturation
% 5.47/1.72 % (1351980)Time elapsed: 0.135 s
% 5.47/1.72 % (1351980)Peak memory usage: 89 MB
% 5.47/1.72 % (1351980)Instructions burned: 220 (million)
% 5.47/1.72 % (1351983)Also succeeded, but the first one will report.
% 5.47/1.72 % (1351978)Refutation found. Thanks to Tanya!
% 5.47/1.72 % SZS status Unsatisfiable for theBenchmark
% 5.47/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 5.47/1.72 % (1351978)------------------------------
% 5.47/1.72 % (1351978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.72 % (1351978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.72 % (1351978)CaDiCaL version: 2.1.3
% 5.47/1.72 % (1351978)Termination reason: Refutation
% 5.47/1.72 % (1351978)Time elapsed: 0.012 s
% 5.47/1.72 % (1351978)Peak memory usage: 89 MB
% 5.47/1.72 % (1351978)Instructions burned: 21 (million)
% 5.47/1.72 % (1351978)------------------------------
% 5.47/1.72 % (1351978)------------------------------
% 5.47/1.72 % (1351958)Success in time 0.689 s
% 5.47/1.72 % Vampire exiting
%------------------------------------------------------------------------------