TSTP Solution File: SET968+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:22:53 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 12 ~; 0 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 58 ( 46 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97,plain,
$false,
inference(subsumption_resolution,[],[f96,f26]) ).
fof(f26,plain,
! [X2,X0,X1] : set_union2(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) = cartesian_product2(set_union2(X1,X2),X0),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( set_union2(cartesian_product2(X1,X0),cartesian_product2(X2,X0)) = cartesian_product2(set_union2(X1,X2),X0)
& set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2)) = cartesian_product2(X0,set_union2(X1,X2)) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X1,X0,X2] :
( cartesian_product2(set_union2(X0,X2),X1) = set_union2(cartesian_product2(X0,X1),cartesian_product2(X2,X1))
& cartesian_product2(X1,set_union2(X0,X2)) = set_union2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( cartesian_product2(X2,set_union2(X0,X1)) = set_union2(cartesian_product2(X2,X0),cartesian_product2(X2,X1))
& cartesian_product2(set_union2(X0,X1),X2) = set_union2(cartesian_product2(X0,X2),cartesian_product2(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t120_zfmisc_1) ).
fof(f96,plain,
cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)) != set_union2(cartesian_product2(sK1,set_union2(sK0,sK2)),cartesian_product2(sK3,set_union2(sK0,sK2))),
inference(forward_demodulation,[],[f85,f25]) ).
fof(f25,plain,
! [X2,X0,X1] : set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2)) = cartesian_product2(X0,set_union2(X1,X2)),
inference(cnf_transformation,[],[f21]) ).
fof(f85,plain,
set_union2(cartesian_product2(sK1,set_union2(sK0,sK2)),set_union2(cartesian_product2(sK3,sK0),cartesian_product2(sK3,sK2))) != cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)),
inference(superposition,[],[f29,f34]) ).
fof(f34,plain,
! [X6,X7,X5] : set_union2(X5,set_union2(X6,X7)) = set_union2(set_union2(X6,X5),X7),
inference(superposition,[],[f22,f27]) ).
fof(f27,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f22,plain,
! [X2,X0,X1] : set_union2(set_union2(X0,X1),X2) = set_union2(X0,set_union2(X1,X2)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] : set_union2(set_union2(X0,X1),X2) = set_union2(X0,set_union2(X1,X2)),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X2,X1] : set_union2(X0,set_union2(X2,X1)) = set_union2(set_union2(X0,X2),X1),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X2,X1] : set_union2(set_union2(X0,X1),X2) = set_union2(X0,set_union2(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_1) ).
fof(f29,plain,
set_union2(set_union2(cartesian_product2(sK3,sK0),cartesian_product2(sK1,set_union2(sK0,sK2))),cartesian_product2(sK3,sK2)) != cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)),
inference(backward_demodulation,[],[f28,f25]) ).
fof(f28,plain,
cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)) != set_union2(set_union2(cartesian_product2(sK3,sK0),set_union2(cartesian_product2(sK1,sK0),cartesian_product2(sK1,sK2))),cartesian_product2(sK3,sK2)),
inference(backward_demodulation,[],[f23,f27]) ).
fof(f23,plain,
cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)) != set_union2(set_union2(set_union2(cartesian_product2(sK1,sK0),cartesian_product2(sK1,sK2)),cartesian_product2(sK3,sK0)),cartesian_product2(sK3,sK2)),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)) != set_union2(set_union2(set_union2(cartesian_product2(sK1,sK0),cartesian_product2(sK1,sK2)),cartesian_product2(sK3,sK0)),cartesian_product2(sK3,sK2)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f17,f18]) ).
fof(f18,plain,
( ? [X0,X1,X2,X3] : cartesian_product2(set_union2(X1,X3),set_union2(X0,X2)) != set_union2(set_union2(set_union2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)),cartesian_product2(X3,X0)),cartesian_product2(X3,X2))
=> cartesian_product2(set_union2(sK1,sK3),set_union2(sK0,sK2)) != set_union2(set_union2(set_union2(cartesian_product2(sK1,sK0),cartesian_product2(sK1,sK2)),cartesian_product2(sK3,sK0)),cartesian_product2(sK3,sK2)) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0,X1,X2,X3] : cartesian_product2(set_union2(X1,X3),set_union2(X0,X2)) != set_union2(set_union2(set_union2(cartesian_product2(X1,X0),cartesian_product2(X1,X2)),cartesian_product2(X3,X0)),cartesian_product2(X3,X2)),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X0,X2,X3] : cartesian_product2(set_union2(X0,X3),set_union2(X1,X2)) != set_union2(set_union2(set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2)),cartesian_product2(X3,X1)),cartesian_product2(X3,X2)),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
~ ! [X3,X1,X2,X0] : cartesian_product2(set_union2(X0,X3),set_union2(X1,X2)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X1),cartesian_product2(X0,X2)),cartesian_product2(X3,X1)),cartesian_product2(X3,X2)),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X2,X3,X1] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X2,X3,X1] : cartesian_product2(set_union2(X0,X1),set_union2(X2,X3)) = set_union2(set_union2(set_union2(cartesian_product2(X0,X2),cartesian_product2(X0,X3)),cartesian_product2(X1,X2)),cartesian_product2(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t121_zfmisc_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET968+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 14:31:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (12304)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.50 % (12296)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (12304)Refutation not found, incomplete strategy% (12304)------------------------------
% 0.19/0.50 % (12304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (12304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (12304)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (12304)Memory used [KB]: 5884
% 0.19/0.50 % (12304)Time elapsed: 0.111 s
% 0.19/0.50 % (12304)Instructions burned: 1 (million)
% 0.19/0.50 % (12304)------------------------------
% 0.19/0.50 % (12304)------------------------------
% 0.19/0.50 % (12317)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (12296)Instruction limit reached!
% 0.19/0.51 % (12296)------------------------------
% 0.19/0.51 % (12296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (12296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (12296)Termination reason: Unknown
% 0.19/0.51 % (12296)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (12296)Memory used [KB]: 5884
% 0.19/0.51 % (12296)Time elapsed: 0.115 s
% 0.19/0.51 % (12296)Instructions burned: 3 (million)
% 0.19/0.51 % (12296)------------------------------
% 0.19/0.51 % (12296)------------------------------
% 0.19/0.51 % (12297)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (12313)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (12300)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (12313)Instruction limit reached!
% 0.19/0.52 % (12313)------------------------------
% 0.19/0.52 % (12313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12313)Termination reason: Unknown
% 0.19/0.52 % (12313)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (12313)Memory used [KB]: 1407
% 0.19/0.52 % (12313)Time elapsed: 0.005 s
% 0.19/0.52 % (12313)Instructions burned: 2 (million)
% 0.19/0.52 % (12313)------------------------------
% 0.19/0.52 % (12313)------------------------------
% 0.19/0.52 % (12323)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (12323)Refutation not found, incomplete strategy% (12323)------------------------------
% 0.19/0.52 % (12323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12323)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (12323)Memory used [KB]: 5884
% 0.19/0.52 % (12323)Time elapsed: 0.129 s
% 0.19/0.52 % (12323)Instructions burned: 2 (million)
% 0.19/0.52 % (12323)------------------------------
% 0.19/0.52 % (12323)------------------------------
% 0.19/0.52 % (12298)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (12298)First to succeed.
% 0.19/0.52 % (12299)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (12295)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (12298)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (12298)------------------------------
% 0.19/0.52 % (12298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (12298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (12298)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (12298)Memory used [KB]: 6012
% 0.19/0.52 % (12298)Time elapsed: 0.129 s
% 0.19/0.52 % (12298)Instructions burned: 6 (million)
% 0.19/0.52 % (12298)------------------------------
% 0.19/0.52 % (12298)------------------------------
% 0.19/0.52 % (12293)Success in time 0.177 s
%------------------------------------------------------------------------------