TSTP Solution File: SET599+3 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.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 18:25:02 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 20 unt; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 26 ( 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(subsumption_resolution,[],[f102,f54]) ).
fof(f54,plain,
~ subset(sF4,sF5),
inference(definition_folding,[],[f44,f53,f52]) ).
fof(f52,plain,
sF4 = difference(sK2,sK3),
introduced(function_definition,[]) ).
fof(f53,plain,
sF5 = symmetric_difference(sK2,sK3),
introduced(function_definition,[]) ).
fof(f44,plain,
~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f28,f29]) ).
fof(f29,plain,
( ? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1))
=> ~ subset(difference(sK2,sK3),symmetric_difference(sK2,sK3)) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1] : ~ subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(rectify,[],[f17]) ).
fof(f17,plain,
? [X1,X0] : ~ subset(difference(X1,X0),symmetric_difference(X1,X0)),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X1,X0] : subset(difference(X1,X0),symmetric_difference(X1,X0)),
inference(rectify,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X1,X0] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X1,X0] : subset(difference(X0,X1),symmetric_difference(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th58) ).
fof(f102,plain,
subset(sF4,sF5),
inference(forward_demodulation,[],[f98,f53]) ).
fof(f98,plain,
subset(sF4,symmetric_difference(sK2,sK3)),
inference(superposition,[],[f79,f52]) ).
fof(f79,plain,
! [X6,X7] : subset(difference(X6,X7),symmetric_difference(X6,X7)),
inference(superposition,[],[f39,f48]) ).
fof(f48,plain,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : symmetric_difference(X0,X1) = union(difference(X0,X1),difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetric_difference_defn) ).
fof(f39,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : subset(X0,union(X0,X1)),
inference(rectify,[],[f11]) ).
fof(f11,plain,
! [X1,X0] : subset(X1,union(X1,X0)),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : subset(X0,union(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_union) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET599+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 14:24:35 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51 % (12403)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (12419)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.52 % (12407)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.52 % (12419)First to succeed.
% 0.21/0.52 % (12411)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (12419)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (12419)------------------------------
% 0.21/0.52 % (12419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (12419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (12419)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (12419)Memory used [KB]: 1023
% 0.21/0.52 % (12419)Time elapsed: 0.121 s
% 0.21/0.52 % (12419)Instructions burned: 4 (million)
% 0.21/0.52 % (12419)------------------------------
% 0.21/0.52 % (12419)------------------------------
% 0.21/0.52 % (12391)Success in time 0.174 s
%------------------------------------------------------------------------------