TSTP Solution File: SWV411+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n020.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 18:45:29 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 112 ( 31 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 125 ( 45 ~; 38 |; 29 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 121 ( 94 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(subsumption_resolution,[],[f96,f92]) ).
fof(f92,plain,
sK2 != sK3,
inference(constrained_resolution,[],[f75,f88]) ).
fof(f88,plain,
! [X3,X0,X4] : pair_in_list(insert_slb(X0,pair(X4,X3)),X4,X3),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X4,X3)
| X1 != X4 ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X4,X2)
| X2 != X3
| X1 != X4 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] :
( ( ( X2 = X3
& X1 = X4 )
| pair_in_list(X0,X4,X2)
| ~ pair_in_list(insert_slb(X0,pair(X1,X3)),X4,X2) )
& ( pair_in_list(insert_slb(X0,pair(X1,X3)),X4,X2)
| ( ( X2 != X3
| X1 != X4 )
& ~ pair_in_list(X0,X4,X2) ) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X1,X0,X2,X3,X4] :
( ( ( X2 = X3
& X0 = X4 )
| pair_in_list(X1,X4,X2)
| ~ pair_in_list(insert_slb(X1,pair(X0,X3)),X4,X2) )
& ( pair_in_list(insert_slb(X1,pair(X0,X3)),X4,X2)
| ( ( X2 != X3
| X0 != X4 )
& ~ pair_in_list(X1,X4,X2) ) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X0,X2,X3,X4] :
( ( ( X2 = X3
& X0 = X4 )
| pair_in_list(X1,X4,X2)
| ~ pair_in_list(insert_slb(X1,pair(X0,X3)),X4,X2) )
& ( pair_in_list(insert_slb(X1,pair(X0,X3)),X4,X2)
| ( ( X2 != X3
| X0 != X4 )
& ~ pair_in_list(X1,X4,X2) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0,X2,X3,X4] :
( ( ( X2 = X3
& X0 = X4 )
| pair_in_list(X1,X4,X2) )
<=> pair_in_list(insert_slb(X1,pair(X0,X3)),X4,X2) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X0,X4,X3,X2] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X2,X4)
<=> ( pair_in_list(X0,X2,X4)
| ( X1 = X2
& X3 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f75,plain,
! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK3,sK1)),sK2,X4),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( contains_slb(insert_slb(sK0,pair(sK3,sK1)),sK2)
& ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK3,sK1)),sK2,X4)
& ! [X5] :
( pair_in_list(sK0,X5,sK4(X5))
| ~ contains_slb(sK0,X5) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f49,f52,f51,f50]) ).
fof(f50,plain,
( ? [X0] :
( ? [X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X3,X1)),X2)
& ! [X4] : ~ pair_in_list(insert_slb(X0,pair(X3,X1)),X2,X4) )
& ! [X5] :
( ? [X6] : pair_in_list(X0,X5,X6)
| ~ contains_slb(X0,X5) ) )
=> ( ? [X3,X2,X1] :
( contains_slb(insert_slb(sK0,pair(X3,X1)),X2)
& ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(X3,X1)),X2,X4) )
& ! [X5] :
( ? [X6] : pair_in_list(sK0,X5,X6)
| ~ contains_slb(sK0,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X3,X2,X1] :
( contains_slb(insert_slb(sK0,pair(X3,X1)),X2)
& ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(X3,X1)),X2,X4) )
=> ( contains_slb(insert_slb(sK0,pair(sK3,sK1)),sK2)
& ! [X4] : ~ pair_in_list(insert_slb(sK0,pair(sK3,sK1)),sK2,X4) ) ),
introduced(choice_axiom,[]) ).
fof(f52,plain,
! [X5] :
( ? [X6] : pair_in_list(sK0,X5,X6)
=> pair_in_list(sK0,X5,sK4(X5)) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
? [X0] :
( ? [X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X3,X1)),X2)
& ! [X4] : ~ pair_in_list(insert_slb(X0,pair(X3,X1)),X2,X4) )
& ! [X5] :
( ? [X6] : pair_in_list(X0,X5,X6)
| ~ contains_slb(X0,X5) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
? [X0] :
( ? [X5,X3,X4] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
& ! [X6] : ~ pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) )
& ! [X1] :
( ? [X2] : pair_in_list(X0,X1,X2)
| ~ contains_slb(X0,X1) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) )
=> ! [X3,X5,X4] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
=> ? [X6] : pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X0] :
( ! [X1] :
( contains_slb(X0,X1)
=> ? [X2] : pair_in_list(X0,X1,X2) )
=> ! [X3,X5,X4] :
( contains_slb(insert_slb(X0,pair(X4,X5)),X3)
=> ? [X6] : pair_in_list(insert_slb(X0,pair(X4,X5)),X3,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l47_co) ).
fof(f96,plain,
sK2 = sK3,
inference(resolution,[],[f95,f76]) ).
fof(f76,plain,
contains_slb(insert_slb(sK0,pair(sK3,sK1)),sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f95,plain,
! [X0,X1] :
( ~ contains_slb(insert_slb(sK0,pair(X0,X1)),sK2)
| sK2 = X0 ),
inference(resolution,[],[f94,f81]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( contains_slb(X0,X3)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X2)),X3)
| ( X1 != X3
& ~ contains_slb(X0,X3) ) )
& ( X1 = X3
| contains_slb(X0,X3)
| ~ contains_slb(insert_slb(X0,pair(X1,X2)),X3) ) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X3,X2,X1,X0] :
( ( contains_slb(insert_slb(X3,pair(X2,X1)),X0)
| ( X0 != X2
& ~ contains_slb(X3,X0) ) )
& ( X0 = X2
| contains_slb(X3,X0)
| ~ contains_slb(insert_slb(X3,pair(X2,X1)),X0) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X3,X2,X1,X0] :
( ( contains_slb(insert_slb(X3,pair(X2,X1)),X0)
| ( X0 != X2
& ~ contains_slb(X3,X0) ) )
& ( X0 = X2
| contains_slb(X3,X0)
| ~ contains_slb(insert_slb(X3,pair(X2,X1)),X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X3,X2,X1,X0] :
( contains_slb(insert_slb(X3,pair(X2,X1)),X0)
<=> ( X0 = X2
| contains_slb(X3,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X3,X1,X0] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( contains_slb(X0,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f94,plain,
~ contains_slb(sK0,sK2),
inference(resolution,[],[f91,f74]) ).
fof(f74,plain,
! [X5] :
( pair_in_list(sK0,X5,sK4(X5))
| ~ contains_slb(sK0,X5) ),
inference(cnf_transformation,[],[f53]) ).
fof(f91,plain,
! [X0] : ~ pair_in_list(sK0,sK2,X0),
inference(resolution,[],[f75,f77]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( pair_in_list(insert_slb(X0,pair(X1,X3)),X4,X2)
| ~ pair_in_list(X0,X4,X2) ),
inference(cnf_transformation,[],[f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:25:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (22388)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (22374)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 % (22387)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (22376)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)
% 0.19/0.50 % (22394)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)
% 0.19/0.50 % (22382)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 % (22374)Instruction limit reached!
% 0.19/0.50 % (22374)------------------------------
% 0.19/0.50 % (22374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (22374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (22374)Termination reason: Unknown
% 0.19/0.50 % (22374)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (22374)Memory used [KB]: 6012
% 0.19/0.50 % (22374)Time elapsed: 0.106 s
% 0.19/0.50 % (22374)Instructions burned: 3 (million)
% 0.19/0.50 % (22374)------------------------------
% 0.19/0.50 % (22374)------------------------------
% 0.19/0.50 % (22380)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (22386)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (22386)Instruction limit reached!
% 0.19/0.51 % (22386)------------------------------
% 0.19/0.51 % (22386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (22386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (22386)Termination reason: Unknown
% 0.19/0.51 % (22386)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (22386)Memory used [KB]: 6012
% 0.19/0.51 % (22386)Time elapsed: 0.065 s
% 0.19/0.51 % (22386)Instructions burned: 4 (million)
% 0.19/0.51 % (22386)------------------------------
% 0.19/0.51 % (22386)------------------------------
% 0.19/0.51 % (22388)First to succeed.
% 0.19/0.51 % (22379)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (22388)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (22388)------------------------------
% 0.19/0.51 % (22388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (22388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (22388)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (22388)Memory used [KB]: 6140
% 0.19/0.51 % (22388)Time elapsed: 0.112 s
% 0.19/0.51 % (22388)Instructions burned: 3 (million)
% 0.19/0.51 % (22388)------------------------------
% 0.19/0.51 % (22388)------------------------------
% 0.19/0.51 % (22371)Success in time 0.164 s
%------------------------------------------------------------------------------