%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 12:40:37 PM UTC 2026
% Result : Unsatisfiable 2.00s 0.87s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 14 unt; 2 def)
% Number of atoms : 50 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f29,axiom,
! [X2,X0,X1] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction2) ).
fof(f122,negated_conjecture,
subclass(x1,x2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_monotonicity_of_restriction1_1) ).
fof(f123,negated_conjecture,
~ subclass(restrict(x1,y,z),restrict(x2,y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_monotonicity_of_restriction1_2) ).
fof(f136,plain,
~ subclass(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),
inference(definition_unfolding,[],[f123,f29,f29]) ).
fof(f206,plain,
member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),intersection(cross_product(y,z),x1)),
inference(resolution,[],[f2,f136]) ).
fof(f207,plain,
~ member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),intersection(cross_product(y,z),x2)),
inference(resolution,[],[f3,f136]) ).
fof(f208,plain,
member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),cross_product(y,z)),
inference(resolution,[],[f21,f206]) ).
fof(f209,plain,
member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),x1),
inference(resolution,[],[f22,f206]) ).
fof(f219,plain,
! [X0] :
( member(X0,x2)
| ~ member(X0,x1) ),
inference(resolution,[],[f1,f122]) ).
fof(f225,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),x2)
| ~ member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),cross_product(y,z)) ),
inference(resolution,[],[f23,f207]) ).
fof(f227,definition,
( spl1_1
<=> member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),cross_product(y,z)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f228,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),cross_product(y,z))
| spl1_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl1_2
<=> member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),x2) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f231,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),x2)
| spl1_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f225,f230,f227]) ).
fof(f233,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f228,f208]) ).
fof(f234,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f235,plain,
( ~ member(not_subclass_element(intersection(cross_product(y,z),x1),intersection(cross_product(y,z),x2)),x1)
| spl1_2 ),
inference(resolution,[],[f231,f219]) ).
fof(f236,plain,
( $false
| spl1_2 ),
inference(resolution,[],[f235,f209]) ).
fof(f237,plain,
spl1_2,
inference(avatar_contradiction_clause,[],[f236]) ).
cnf(s1,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f232]) ).
cnf(s2,plain,
spl1_1,
inference(sat_conversion,[],[f234]) ).
cnf(s3,plain,
spl1_2,
inference(sat_conversion,[],[f237]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f238,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET254-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 28 01:13:19 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.00/0.87 % (2920653)Input is clausal, will run a generic CNF schedule.
% 2.00/0.87 % (2920663)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2778592072:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.00/0.87 % (2920661)lrs+10_1_sil=8000:sp=occurrence:random_seed=602194713:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.00/0.87 % (2920664)dis-21_1_sil=8000:lcm=predicate:random_seed=3439732715: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)
% 2.00/0.87 % (2920659)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4070207506:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.00/0.87 % (2920658)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=4042004717:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.00/0.87 % (2920662)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1828933318:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.00/0.87 % (2920660)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1284975408:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.00/0.87 % (2920661)Refutation not found, incomplete strategy
% 2.00/0.87 % (2920661)------------------------------
% 2.00/0.87 % (2920661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.00/0.87 % (2920661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.87 % (2920661)CaDiCaL version: 2.1.3
% 2.00/0.87 % (2920661)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.87 % (2920661)Time elapsed: 0.002 s
% 2.00/0.87 % (2920661)Peak memory usage: 88 MB
% 2.00/0.87 % (2920661)Instructions burned: 2 (million)
% 2.00/0.87 % (2920664)First to succeed.
% 2.00/0.87 % (2920664)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2920653"
% 2.00/0.87 % (2920662)Instruction limit reached!
% 2.00/0.87 % (2920662)------------------------------
% 2.00/0.87 % (2920662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.00/0.87 % (2920662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.87 % (2920662)CaDiCaL version: 2.1.3
% 2.00/0.87 % (2920662)Termination reason: Instruction limit
% 2.00/0.87 % (2920662)Termination phase: Saturation
% 2.00/0.87 % (2920662)Time elapsed: 0.036 s
% 2.00/0.87 % (2920662)Peak memory usage: 88 MB
% 2.00/0.87 % (2920662)Instructions burned: 117 (million)
% 2.00/0.87 % (2920663)Instruction limit reached!
% 2.00/0.87 % (2920663)------------------------------
% 2.00/0.87 % (2920663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.00/0.87 % (2920663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.87 % (2920663)CaDiCaL version: 2.1.3
% 2.00/0.87 % (2920663)Termination reason: Instruction limit
% 2.00/0.87 % (2920663)Termination phase: Saturation
% 2.00/0.87 % (2920663)Time elapsed: 0.088 s
% 2.00/0.87 % (2920663)Peak memory usage: 90 MB
% 2.00/0.87 % (2920663)Instructions burned: 181 (million)
% 2.00/0.87 % (2920672)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=965185371:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.00/0.87 % (2920672)Refutation not found, incomplete strategy
% 2.00/0.87 % (2920672)------------------------------
% 2.00/0.87 % (2920672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.00/0.87 % (2920672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.87 % (2920672)CaDiCaL version: 2.1.3
% 2.00/0.87 % (2920672)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.87 % (2920672)Time elapsed: 0.001 s
% 2.00/0.87 % (2920672)Peak memory usage: 88 MB
% 2.00/0.87 % (2920672)Instructions burned: 2 (million)
% 2.00/0.87 % (2920661)------------------------------
% 2.00/0.87 % (2920661)------------------------------
% 2.00/0.87 % (2920664)Refutation found. Thanks to Tanya!
% 2.00/0.87 % SZS status Unsatisfiable for theBenchmark
% 2.00/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.87 % (2920664)------------------------------
% 2.00/0.87 % (2920664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.00/0.87 % (2920664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.87 % (2920664)CaDiCaL version: 2.1.3
% 2.00/0.87 % (2920664)Termination reason: Refutation
% 2.00/0.87 % (2920664)Time elapsed: 0.003 s
% 2.00/0.87 % (2920664)Peak memory usage: 89 MB
% 2.00/0.87 % (2920664)Instructions burned: 8 (million)
% 2.00/0.87 % (2920664)------------------------------
% 2.00/0.87 % (2920664)------------------------------
% 2.00/0.87 % (2920653)Success in time 0.263 s
% 2.00/0.87 % Vampire exiting
%------------------------------------------------------------------------------