%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET253-6 : 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 : n008.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 3.53s 1.38s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 1 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),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,
~ subclass(restrict(x,y,z),cross_product(y,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_restriction_property4_1) ).
fof(f135,plain,
~ subclass(intersection(cross_product(y,z),x),cross_product(y,z)),
inference(definition_unfolding,[],[f122,f29]) ).
fof(f205,plain,
member(not_subclass_element(intersection(cross_product(y,z),x),cross_product(y,z)),intersection(cross_product(y,z),x)),
inference(resolution,[],[f2,f135]) ).
fof(f206,plain,
~ member(not_subclass_element(intersection(cross_product(y,z),x),cross_product(y,z)),cross_product(y,z)),
inference(resolution,[],[f3,f135]) ).
fof(f207,plain,
member(not_subclass_element(intersection(cross_product(y,z),x),cross_product(y,z)),cross_product(y,z)),
inference(resolution,[],[f21,f205]) ).
fof(f208,plain,
$false,
inference(resolution,[],[f207,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET253-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 01:13:39 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.53/1.38 % (1781293)Input is clausal, will run a generic CNF schedule.
% 3.53/1.38 % (1781299)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3585807018:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.53/1.38 % (1781300)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=211581106:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.53/1.38 % (1781301)lrs+10_1_sil=8000:sp=occurrence:random_seed=797733113:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.53/1.38 % (1781304)dis-21_1_sil=8000:lcm=predicate:random_seed=4107043790: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)
% 3.53/1.38 % (1781302)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2106056568:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.53/1.38 % (1781298)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=2367164256:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.53/1.38 % (1781303)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3073259363:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.53/1.38 % (1781301)Refutation not found, incomplete strategy
% 3.53/1.38 % (1781301)------------------------------
% 3.53/1.38 % (1781301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.38 % (1781301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.38 % (1781301)CaDiCaL version: 2.1.3
% 3.53/1.38 % (1781301)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.38 % (1781301)Time elapsed: 0.003 s
% 3.53/1.38 % (1781301)Peak memory usage: 88 MB
% 3.53/1.38 % (1781301)Instructions burned: 2 (million)
% 3.53/1.38 % (1781304)First to succeed.
% 3.53/1.38 % (1781304)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1781293"
% 3.53/1.38 % (1781302)Instruction limit reached!
% 3.53/1.38 % (1781302)------------------------------
% 3.53/1.38 % (1781302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.38 % (1781302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.38 % (1781302)CaDiCaL version: 2.1.3
% 3.53/1.38 % (1781302)Termination reason: Instruction limit
% 3.53/1.38 % (1781302)Termination phase: Saturation
% 3.53/1.38 % (1781302)Time elapsed: 0.067 s
% 3.53/1.38 % (1781302)Peak memory usage: 88 MB
% 3.53/1.38 % (1781302)Instructions burned: 116 (million)
% 3.53/1.38 % (1781303)Instruction limit reached!
% 3.53/1.38 % (1781303)------------------------------
% 3.53/1.38 % (1781303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.38 % (1781303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.38 % (1781303)CaDiCaL version: 2.1.3
% 3.53/1.38 % (1781303)Termination reason: Instruction limit
% 3.53/1.38 % (1781303)Termination phase: Saturation
% 3.53/1.38 % (1781303)Time elapsed: 0.135 s
% 3.53/1.38 % (1781303)Peak memory usage: 90 MB
% 3.53/1.38 % (1781303)Instructions burned: 181 (million)
% 3.53/1.38 % (1781312)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=1483714747:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.53/1.38 % (1781312)Refutation not found, incomplete strategy
% 3.53/1.38 % (1781312)------------------------------
% 3.53/1.38 % (1781312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.38 % (1781312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.38 % (1781312)CaDiCaL version: 2.1.3
% 3.53/1.38 % (1781312)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.38 % (1781312)Time elapsed: 0.003 s
% 3.53/1.38 % (1781312)Peak memory usage: 88 MB
% 3.53/1.38 % (1781312)Instructions burned: 2 (million)
% 3.53/1.38 % (1781301)------------------------------
% 3.53/1.38 % (1781301)------------------------------
% 3.53/1.38 % (1781304)Refutation found. Thanks to Tanya!
% 3.53/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.38 % (1781304)------------------------------
% 3.53/1.38 % (1781304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.38 % (1781304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.38 % (1781304)CaDiCaL version: 2.1.3
% 3.53/1.38 % (1781304)Termination reason: Refutation
% 3.53/1.38 % (1781304)Time elapsed: 0.004 s
% 3.53/1.38 % (1781304)Peak memory usage: 88 MB
% 3.53/1.38 % (1781304)Instructions burned: 6 (million)
% 3.53/1.38 % (1781304)------------------------------
% 3.53/1.38 % (1781304)------------------------------
% 3.53/1.38 % (1781293)Success in time 0.436 s
% 3.53/1.38 % Vampire exiting
%------------------------------------------------------------------------------