TSTP Solution File: SEU104+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU104+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_sat --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 18:31:57 EDT 2022
% Result : Theorem 1.30s 0.51s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 10 unt; 0 def)
% Number of atoms : 167 ( 6 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 208 ( 87 ~; 68 |; 37 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 86 ( 77 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f531,plain,
$false,
inference(subsumption_resolution,[],[f530,f164]) ).
fof(f164,plain,
~ preboolean(sK8),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
( ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),sK8)
& in(set_difference(X1,X2),sK8) )
| ~ element(X2,sK8) )
| ~ element(X1,sK8) )
& ~ preboolean(sK8)
& ~ empty(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f91,f115]) ).
fof(f115,plain,
( ? [X0] :
( ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ preboolean(X0)
& ~ empty(X0) )
=> ( ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),sK8)
& in(set_difference(X1,X2),sK8) )
| ~ element(X2,sK8) )
| ~ element(X1,sK8) )
& ~ preboolean(sK8)
& ~ empty(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
? [X0] :
( ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ preboolean(X0)
& ~ empty(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
? [X0] :
( ~ preboolean(X0)
& ! [X1] :
( ! [X2] :
( ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) )
| ~ element(X2,X0) )
| ~ element(X1,X0) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0] :
( ~ empty(X0)
=> ( ! [X1] :
( element(X1,X0)
=> ! [X2] :
( element(X2,X0)
=> ( in(symmetric_difference(X1,X2),X0)
& in(set_difference(X1,X2),X0) ) ) )
=> preboolean(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_finsub_1) ).
fof(f530,plain,
preboolean(sK8),
inference(resolution,[],[f521,f146]) ).
fof(f146,plain,
! [X0] :
( in(sK4(X0),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ( ! [X1,X2] :
( ( in(set_difference(X2,X1),X0)
& in(set_union2(X2,X1),X0) )
| ~ in(X2,X0)
| ~ in(X1,X0) )
| ~ preboolean(X0) )
& ( preboolean(X0)
| ( ( ~ in(set_difference(sK5(X0),sK4(X0)),X0)
| ~ in(set_union2(sK5(X0),sK4(X0)),X0) )
& in(sK5(X0),X0)
& in(sK4(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f104,f105]) ).
fof(f105,plain,
! [X0] :
( ? [X3,X4] :
( ( ~ in(set_difference(X4,X3),X0)
| ~ in(set_union2(X4,X3),X0) )
& in(X4,X0)
& in(X3,X0) )
=> ( ( ~ in(set_difference(sK5(X0),sK4(X0)),X0)
| ~ in(set_union2(sK5(X0),sK4(X0)),X0) )
& in(sK5(X0),X0)
& in(sK4(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( ( ! [X1,X2] :
( ( in(set_difference(X2,X1),X0)
& in(set_union2(X2,X1),X0) )
| ~ in(X2,X0)
| ~ in(X1,X0) )
| ~ preboolean(X0) )
& ( preboolean(X0)
| ? [X3,X4] :
( ( ~ in(set_difference(X4,X3),X0)
| ~ in(set_union2(X4,X3),X0) )
& in(X4,X0)
& in(X3,X0) ) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ( ! [X2,X1] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X1,X0)
| ~ in(X2,X0) )
| ~ preboolean(X0) )
& ( preboolean(X0)
| ? [X2,X1] :
( ( ~ in(set_difference(X1,X2),X0)
| ~ in(set_union2(X1,X2),X0) )
& in(X1,X0)
& in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X2,X1] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X1,X0)
| ~ in(X2,X0) )
<=> preboolean(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X0] :
( preboolean(X0)
<=> ! [X2,X1] :
( ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) )
| ~ in(X1,X0)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( preboolean(X0)
<=> ! [X2,X1] :
( ( in(X1,X0)
& in(X2,X0) )
=> ( in(set_difference(X1,X2),X0)
& in(set_union2(X1,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).
fof(f521,plain,
~ in(sK4(sK8),sK8),
inference(subsumption_resolution,[],[f520,f164]) ).
fof(f520,plain,
( preboolean(sK8)
| ~ in(sK4(sK8),sK8) ),
inference(resolution,[],[f519,f147]) ).
fof(f147,plain,
! [X0] :
( in(sK5(X0),X0)
| preboolean(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f519,plain,
( ~ in(sK5(sK8),sK8)
| ~ in(sK4(sK8),sK8) ),
inference(subsumption_resolution,[],[f518,f423]) ).
fof(f423,plain,
! [X0,X1] :
( in(set_union2(X0,X1),sK8)
| ~ in(X0,sK8)
| ~ in(X1,sK8) ),
inference(resolution,[],[f420,f162]) ).
fof(f162,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( element(X1,X0)
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( in(X1,X0)
=> element(X1,X0) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X1,X0] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f420,plain,
! [X0,X1] :
( ~ element(X1,sK8)
| in(set_union2(X0,X1),sK8)
| ~ in(X0,sK8) ),
inference(subsumption_resolution,[],[f417,f162]) ).
fof(f417,plain,
! [X0,X1] :
( ~ in(X0,sK8)
| in(set_union2(X0,X1),sK8)
| ~ element(X1,sK8)
| ~ element(X0,sK8) ),
inference(resolution,[],[f407,f165]) ).
fof(f165,plain,
! [X2,X1] :
( in(set_difference(X1,X2),sK8)
| ~ element(X2,sK8)
| ~ element(X1,sK8) ),
inference(cnf_transformation,[],[f116]) ).
fof(f407,plain,
! [X0,X1] :
( ~ in(set_difference(X1,X0),sK8)
| in(set_union2(X0,X1),sK8)
| ~ in(X0,sK8) ),
inference(resolution,[],[f304,f162]) ).
fof(f304,plain,
! [X0,X1] :
( ~ element(set_difference(X1,X0),sK8)
| ~ in(X0,sK8)
| in(set_union2(X0,X1),sK8) ),
inference(resolution,[],[f298,f162]) ).
fof(f298,plain,
! [X8,X9] :
( ~ element(X8,sK8)
| in(set_union2(X8,X9),sK8)
| ~ element(set_difference(X9,X8),sK8) ),
inference(superposition,[],[f166,f144]) ).
fof(f144,plain,
! [X0,X1] : set_union2(X0,X1) = symmetric_difference(X0,set_difference(X1,X0)),
inference(cnf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] : set_union2(X0,X1) = symmetric_difference(X0,set_difference(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t98_xboole_1) ).
fof(f166,plain,
! [X2,X1] :
( in(symmetric_difference(X1,X2),sK8)
| ~ element(X1,sK8)
| ~ element(X2,sK8) ),
inference(cnf_transformation,[],[f116]) ).
fof(f518,plain,
( ~ in(sK4(sK8),sK8)
| ~ in(sK5(sK8),sK8)
| ~ in(set_union2(sK4(sK8),sK5(sK8)),sK8) ),
inference(resolution,[],[f372,f162]) ).
fof(f372,plain,
( ~ element(sK4(sK8),sK8)
| ~ in(sK5(sK8),sK8)
| ~ in(set_union2(sK4(sK8),sK5(sK8)),sK8) ),
inference(resolution,[],[f371,f162]) ).
fof(f371,plain,
( ~ element(sK5(sK8),sK8)
| ~ element(sK4(sK8),sK8)
| ~ in(set_union2(sK4(sK8),sK5(sK8)),sK8) ),
inference(subsumption_resolution,[],[f370,f164]) ).
fof(f370,plain,
( ~ in(set_union2(sK4(sK8),sK5(sK8)),sK8)
| ~ element(sK5(sK8),sK8)
| ~ element(sK4(sK8),sK8)
| preboolean(sK8) ),
inference(resolution,[],[f195,f165]) ).
fof(f195,plain,
! [X0] :
( ~ in(set_difference(sK5(X0),sK4(X0)),X0)
| ~ in(set_union2(sK4(X0),sK5(X0)),X0)
| preboolean(X0) ),
inference(forward_demodulation,[],[f148,f193]) ).
fof(f193,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f148,plain,
! [X0] :
( preboolean(X0)
| ~ in(set_union2(sK5(X0),sK4(X0)),X0)
| ~ in(set_difference(sK5(X0),sK4(X0)),X0) ),
inference(cnf_transformation,[],[f106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU104+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % 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 : n006.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 14:37:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 % (27539)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.49 % (27539)Instruction limit reached!
% 0.20/0.49 % (27539)------------------------------
% 0.20/0.49 % (27539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (27547)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)
% 0.20/0.49 % (27539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (27539)Termination reason: Unknown
% 0.20/0.50 % (27539)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (27539)Memory used [KB]: 5500
% 0.20/0.50 % (27539)Time elapsed: 0.076 s
% 0.20/0.50 % (27539)Instructions burned: 7 (million)
% 0.20/0.50 % (27539)------------------------------
% 0.20/0.50 % (27539)------------------------------
% 0.20/0.51 % (27547)First to succeed.
% 1.30/0.51 % (27547)Refutation found. Thanks to Tanya!
% 1.30/0.51 % SZS status Theorem for theBenchmark
% 1.30/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.51 % (27547)------------------------------
% 1.30/0.51 % (27547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51 % (27547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51 % (27547)Termination reason: Refutation
% 1.30/0.51
% 1.30/0.51 % (27547)Memory used [KB]: 1151
% 1.30/0.51 % (27547)Time elapsed: 0.098 s
% 1.30/0.51 % (27547)Instructions burned: 17 (million)
% 1.30/0.51 % (27547)------------------------------
% 1.30/0.51 % (27547)------------------------------
% 1.30/0.51 % (27531)Success in time 0.166 s
%------------------------------------------------------------------------------