TSTP Solution File: COM007+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM007+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 : n012.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 15:53:44 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 79 ( 13 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 187 ( 82 ~; 78 |; 13 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 87 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(avatar_sat_refutation,[],[f57,f66,f94,f108,f132]) ).
fof(f132,plain,
~ spl1_4,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f131,plain,
( $false
| ~ spl1_4 ),
inference(subsumption_resolution,[],[f129,f45]) ).
fof(f45,plain,
! [X0] : reflexive_rewrite(X0,X0),
inference(resolution,[],[f32,f38]) ).
fof(f38,plain,
! [X0] : equalish(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : equalish(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f32,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| reflexive_rewrite(X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( reflexive_rewrite(X1,X0)
| ~ equalish(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( equalish(X1,X0)
=> reflexive_rewrite(X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( equalish(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_in_reflexive_rewrite) ).
fof(f129,plain,
( ~ reflexive_rewrite(b,b)
| ~ spl1_4 ),
inference(resolution,[],[f126,f44]) ).
fof(f44,plain,
! [X0] :
( ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(subsumption_resolution,[],[f40,f39]) ).
fof(f39,plain,
~ goal,
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
~ goal,
inference(flattening,[],[f11]) ).
fof(f11,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f40,plain,
! [X0] :
( ~ reflexive_rewrite(b,X0)
| ~ reflexive_rewrite(c,X0)
| goal ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(b,X0)
| ~ reflexive_rewrite(c,X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0] :
( goal
| ~ reflexive_rewrite(c,X0)
| ~ reflexive_rewrite(b,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( reflexive_rewrite(c,X0)
& reflexive_rewrite(b,X0) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_ax) ).
fof(f126,plain,
( reflexive_rewrite(c,b)
| ~ spl1_4 ),
inference(resolution,[],[f115,f34]) ).
fof(f34,plain,
reflexive_rewrite(a,b),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( reflexive_rewrite(a,b)
& reflexive_rewrite(a,c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption) ).
fof(f115,plain,
( ! [X0] :
( ~ reflexive_rewrite(a,X0)
| reflexive_rewrite(c,X0) )
| ~ spl1_4 ),
inference(resolution,[],[f113,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| reflexive_rewrite(X1,X0)
| ~ reflexive_rewrite(X2,X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ reflexive_rewrite(X2,X0)
| reflexive_rewrite(X1,X0)
| ~ equalish(X1,X2) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ reflexive_rewrite(X1,X2)
| reflexive_rewrite(X0,X2)
| ~ equalish(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( reflexive_rewrite(X0,X2)
| ~ equalish(X0,X1)
| ~ reflexive_rewrite(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( ( equalish(X0,X1)
& reflexive_rewrite(X1,X2) )
=> reflexive_rewrite(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',substitution) ).
fof(f113,plain,
( equalish(c,a)
| ~ spl1_4 ),
inference(resolution,[],[f65,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ~ equalish(X0,X1)
| equalish(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(X0,X1)
=> equalish(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmtery) ).
fof(f65,plain,
( equalish(a,c)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl1_4
<=> equalish(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f108,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f107,plain,
( $false
| ~ spl1_1 ),
inference(subsumption_resolution,[],[f104,f67]) ).
fof(f67,plain,
~ reflexive_rewrite(b,c),
inference(resolution,[],[f45,f44]) ).
fof(f104,plain,
( reflexive_rewrite(b,c)
| ~ spl1_1 ),
inference(resolution,[],[f98,f33]) ).
fof(f33,plain,
reflexive_rewrite(a,c),
inference(cnf_transformation,[],[f1]) ).
fof(f98,plain,
( ! [X0] :
( ~ reflexive_rewrite(a,X0)
| reflexive_rewrite(b,X0) )
| ~ spl1_1 ),
inference(resolution,[],[f96,f41]) ).
fof(f96,plain,
( equalish(b,a)
| ~ spl1_1 ),
inference(resolution,[],[f52,f35]) ).
fof(f52,plain,
( equalish(a,b)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl1_1
<=> equalish(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f94,plain,
( ~ spl1_2
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f93]) ).
fof(f93,plain,
( $false
| ~ spl1_2
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f91,f61]) ).
fof(f61,plain,
( rewrite(a,c)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl1_3
<=> rewrite(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f91,plain,
( ~ rewrite(a,c)
| ~ spl1_2
| ~ spl1_3 ),
inference(resolution,[],[f81,f90]) ).
fof(f90,plain,
( ~ reflexive_rewrite(b,sK0(c,b))
| ~ spl1_2
| ~ spl1_3 ),
inference(subsumption_resolution,[],[f88,f61]) ).
fof(f88,plain,
( ~ reflexive_rewrite(b,sK0(c,b))
| ~ rewrite(a,c)
| ~ spl1_2 ),
inference(resolution,[],[f78,f44]) ).
fof(f78,plain,
( ! [X4] :
( reflexive_rewrite(X4,sK0(X4,b))
| ~ rewrite(a,X4) )
| ~ spl1_2 ),
inference(resolution,[],[f71,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ rewrite(X1,X0)
| reflexive_rewrite(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ rewrite(X1,X0)
| reflexive_rewrite(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ~ rewrite(X0,X1)
| reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( rewrite(X0,X1)
=> reflexive_rewrite(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_in_reflexive_rewrite) ).
fof(f71,plain,
( ! [X0] :
( rewrite(X0,sK0(X0,b))
| ~ rewrite(a,X0) )
| ~ spl1_2 ),
inference(resolution,[],[f42,f56]) ).
fof(f56,plain,
( rewrite(a,b)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl1_2
<=> rewrite(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ rewrite(X0,X2)
| rewrite(X1,sK0(X1,X2))
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) )
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f29,f30]) ).
fof(f30,plain,
! [X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
=> ( rewrite(X2,sK0(X1,X2))
& rewrite(X1,sK0(X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) )
| ~ rewrite(X0,X1)
| ~ rewrite(X0,X2) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X0] :
( ? [X3] :
( rewrite(X0,X3)
& rewrite(X2,X3) )
| ~ rewrite(X1,X2)
| ~ rewrite(X1,X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ? [X3] :
( rewrite(X0,X3)
& rewrite(X2,X3) )
| ~ rewrite(X1,X0)
| ~ rewrite(X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( rewrite(X1,X0)
& rewrite(X1,X2) )
=> ? [X3] :
( rewrite(X0,X3)
& rewrite(X2,X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ( rewrite(X0,X1)
& rewrite(X0,X2) )
=> ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rewrite_diamond) ).
fof(f81,plain,
( ! [X4] :
( reflexive_rewrite(b,sK0(X4,b))
| ~ rewrite(a,X4) )
| ~ spl1_2 ),
inference(resolution,[],[f72,f36]) ).
fof(f72,plain,
( ! [X0] :
( rewrite(b,sK0(X0,b))
| ~ rewrite(a,X0) )
| ~ spl1_2 ),
inference(resolution,[],[f43,f56]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ rewrite(X0,X2)
| rewrite(X2,sK0(X1,X2))
| ~ rewrite(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f66,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f47,f63,f59]) ).
fof(f47,plain,
( equalish(a,c)
| rewrite(a,c) ),
inference(resolution,[],[f37,f33]) ).
fof(f37,plain,
! [X0,X1] :
( ~ reflexive_rewrite(X0,X1)
| rewrite(X0,X1)
| equalish(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( rewrite(X0,X1)
| equalish(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( equalish(X0,X1)
| rewrite(X0,X1)
| ~ reflexive_rewrite(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( reflexive_rewrite(X0,X1)
=> ( equalish(X0,X1)
| rewrite(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equalish_or_rewrite) ).
fof(f57,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f48,f54,f50]) ).
fof(f48,plain,
( rewrite(a,b)
| equalish(a,b) ),
inference(resolution,[],[f37,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM007+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 17:00:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (15421)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.45 TRYING [1]
% 0.18/0.46 TRYING [2]
% 0.18/0.46 TRYING [3]
% 0.18/0.46 TRYING [4]
% 0.18/0.46 TRYING [5]
% 0.18/0.46 % (15446)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.47 TRYING [6]
% 0.18/0.47 % (15430)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.47 TRYING [7]
% 0.18/0.47 % (15446)First to succeed.
% 0.18/0.48 % (15449)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.48 % (15446)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.48 % (15446)------------------------------
% 0.23/0.48 % (15446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.48 % (15446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.48 % (15446)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (15446)Memory used [KB]: 5373
% 0.23/0.48 % (15446)Time elapsed: 0.108 s
% 0.23/0.48 % (15446)Instructions burned: 2 (million)
% 0.23/0.48 % (15446)------------------------------
% 0.23/0.48 % (15446)------------------------------
% 0.23/0.48 % (15419)Success in time 0.141 s
%------------------------------------------------------------------------------