TSTP Solution File: PLA004-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PLA004-2 : TPTP v8.1.0. Released v1.1.0.
% 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 : n002.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 18:08:29 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 56 ( 18 unt; 0 def)
% Number of atoms : 162 ( 3 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 238 ( 132 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(subsumption_resolution,[],[f213,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).
fof(f213,plain,
~ holds(clear(b),s0),
inference(subsumption_resolution,[],[f212,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).
fof(f212,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(subsumption_resolution,[],[f211,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).
fof(f211,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(empty,s0) ),
inference(resolution,[],[f204,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).
fof(f204,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f203,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).
fof(f203,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(a,b)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f202,f18]) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).
fof(f202,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ differ(b,table)
| ~ differ(a,b) ),
inference(subsumption_resolution,[],[f201,f40]) ).
fof(f40,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f201,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,b)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ differ(a,b)
| ~ differ(b,table) ),
inference(resolution,[],[f200,f2]) ).
fof(f2,axiom,
! [X2,X0] :
( holds(holding(X0),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).
fof(f200,plain,
! [X2,X3] :
( ~ holds(holding(b),do(pickup(X2),X3))
| ~ holds(clear(c),X3)
| ~ holds(clear(a),X3)
| ~ differ(a,X2)
| ~ differ(c,X2) ),
inference(resolution,[],[f184,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ differ(X0,X3)
| ~ holds(clear(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_4) ).
fof(f184,plain,
! [X2,X3] :
( ~ holds(clear(a),do(pickup(X2),X3))
| ~ holds(holding(b),do(pickup(X2),X3))
| ~ holds(clear(c),X3)
| ~ differ(c,X2) ),
inference(resolution,[],[f166,f5]) ).
fof(f166,plain,
! [X2] :
( ~ holds(clear(c),X2)
| ~ holds(holding(b),X2)
| ~ holds(clear(a),X2) ),
inference(subsumption_resolution,[],[f165,f38]) ).
fof(f38,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).
fof(f165,plain,
! [X2] :
( ~ holds(holding(b),X2)
| ~ holds(clear(a),X2)
| ~ holds(clear(c),X2)
| ~ differ(c,a) ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
! [X2] :
( ~ holds(clear(c),X2)
| ~ holds(clear(a),X2)
| ~ holds(holding(b),X2)
| ~ differ(c,a)
| ~ holds(holding(b),X2)
| ~ holds(clear(a),X2) ),
inference(resolution,[],[f150,f58]) ).
fof(f58,plain,
! [X0] :
( holds(sF0,do(putdown(b,a),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(a),X0) ),
inference(superposition,[],[f7,f32]) ).
fof(f32,plain,
on(b,a) = sF0,
introduced(function_definition,[]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).
fof(f150,plain,
! [X3,X4] :
( ~ holds(sF0,do(putdown(b,X3),X4))
| ~ holds(clear(c),X4)
| ~ holds(holding(b),X4)
| ~ differ(c,X3)
| ~ holds(clear(X3),X4) ),
inference(subsumption_resolution,[],[f149,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_1) ).
fof(f149,plain,
! [X3,X4] :
( ~ holds(holding(b),X4)
| ~ differ(c,X3)
| ~ holds(sF0,do(putdown(b,X3),X4))
| ~ holds(clear(X3),X4)
| ~ holds(clear(c),X4)
| ~ holds(empty,do(putdown(b,X3),X4)) ),
inference(resolution,[],[f120,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_3) ).
fof(f120,plain,
! [X6,X4,X5] :
( ~ holds(clear(b),do(putdown(X4,X5),X6))
| ~ differ(c,X5)
| ~ holds(sF0,do(putdown(X4,X5),X6))
| ~ holds(clear(c),X6)
| ~ holds(empty,do(putdown(X4,X5),X6)) ),
inference(resolution,[],[f117,f10]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X3),do(putdown(X0,X1),X2))
| ~ holds(clear(X3),X2)
| ~ differ(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).
fof(f117,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(sF0,X0)
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f116,f16]) ).
fof(f116,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ differ(b,c)
| ~ holds(sF0,X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f106,f55]) ).
fof(f55,plain,
! [X0,X1] :
( holds(sF0,do(pickup(X0),X1))
| ~ differ(b,X0)
| ~ holds(sF0,X1) ),
inference(superposition,[],[f4,f32]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X3),X2))
| ~ holds(on(X0,X1),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).
fof(f106,plain,
! [X0] :
( ~ holds(sF0,do(pickup(c),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(subsumption_resolution,[],[f105,f16]) ).
fof(f105,plain,
! [X0] :
( ~ holds(sF0,do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f104,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).
fof(f104,plain,
! [X0] :
( ~ differ(c,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(sF0,do(pickup(c),X0))
| ~ differ(b,c)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f86,f2]) ).
fof(f86,plain,
! [X2,X3] :
( ~ holds(holding(c),do(pickup(X2),X3))
| ~ holds(clear(b),X3)
| ~ holds(sF0,do(pickup(X2),X3))
| ~ differ(b,X2) ),
inference(resolution,[],[f70,f5]) ).
fof(f70,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(sF0,X0)
| ~ holds(holding(c),X0) ),
inference(resolution,[],[f69,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(sF0,X2) ),
inference(superposition,[],[f9,f32]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X3,X4),X2))
| ~ holds(on(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_4) ).
fof(f69,plain,
! [X0] :
( ~ holds(sF0,do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f59,f48]) ).
fof(f48,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f47,f35]) ).
fof(f35,plain,
! [X2] : ~ holds(sF2,X2),
inference(definition_folding,[],[f31,f34,f33,f32]) ).
fof(f33,plain,
on(c,b) = sF1,
introduced(function_definition,[]) ).
fof(f34,plain,
and(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(b,a),on(c,b)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_CBA) ).
fof(f47,plain,
! [X0] :
( holds(sF2,X0)
| ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(superposition,[],[f1,f34]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X1,X2)
| ~ holds(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).
fof(f59,plain,
! [X1] :
( holds(sF1,do(putdown(c,b),X1))
| ~ holds(holding(c),X1)
| ~ holds(clear(b),X1) ),
inference(superposition,[],[f7,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PLA004-2 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n002.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 10:15:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (364)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (378)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51 % (373)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (364)First to succeed.
% 0.20/0.52 % (367)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.52 % (370)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (365)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53 % (368)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (368)Refutation not found, incomplete strategy% (368)------------------------------
% 0.20/0.53 % (368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (368)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (368)Memory used [KB]: 5884
% 0.20/0.53 % (368)Time elapsed: 0.126 s
% 0.20/0.53 % (368)Instructions burned: 2 (million)
% 0.20/0.53 % (368)------------------------------
% 0.20/0.53 % (368)------------------------------
% 0.20/0.53 % (378)Also succeeded, but the first one will report.
% 0.20/0.53 % (364)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (364)------------------------------
% 0.20/0.53 % (364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (364)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (364)Memory used [KB]: 6012
% 0.20/0.53 % (364)Time elapsed: 0.110 s
% 0.20/0.53 % (364)Instructions burned: 14 (million)
% 0.20/0.53 % (364)------------------------------
% 0.20/0.53 % (364)------------------------------
% 0.20/0.53 % (363)Success in time 0.179 s
%------------------------------------------------------------------------------