TSTP Solution File: PLA008-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n015.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 : Thu Aug 31 13:03:29 EDT 2023
% Result : Unsatisfiable 0.23s 0.56s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 30
% Syntax : Number of formulae : 96 ( 22 unt; 0 def)
% Number of atoms : 373 ( 3 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 615 ( 338 ~; 277 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 121 (; 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1628,plain,
$false,
inference(subsumption_resolution,[],[f1627,f26]) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',initial_state5) ).
fof(f1627,plain,
~ holds(clear(a),s0),
inference(subsumption_resolution,[],[f1626,f27]) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',initial_state6) ).
fof(f1626,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(subsumption_resolution,[],[f1625,f29]) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',initial_state8) ).
fof(f1625,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(subsumption_resolution,[],[f1622,f28]) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',initial_state7) ).
fof(f1622,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f1618,f24]) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',initial_state3) ).
fof(f1618,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f1617,f20]) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_c_table) ).
fof(f1617,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(c,table) ),
inference(subsumption_resolution,[],[f1616,f13]) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_a_c) ).
fof(f1616,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,c)
| ~ differ(c,table) ),
inference(subsumption_resolution,[],[f1615,f16]) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_b_c) ).
fof(f1615,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ holds(clear(a),X0)
| ~ differ(a,c)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ holds(clear(a),X0)
| ~ differ(a,c)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f1329,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/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',pickup_1) ).
fof(f1329,plain,
! [X2,X3] :
( ~ holds(holding(c),do(pickup(X2),X3))
| ~ holds(clear(X2),X3)
| ~ holds(on(X2,d),X3)
| ~ holds(empty,X3)
| ~ holds(clear(b),X3)
| ~ differ(b,X2)
| ~ holds(clear(a),X3)
| ~ differ(a,X2) ),
inference(resolution,[],[f1079,f5]) ).
fof(f5,axiom,
! [X2,X3,X0] :
( holds(clear(X0),do(pickup(X3),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',pickup_4) ).
fof(f1079,plain,
! [X2,X3] :
( ~ holds(clear(a),do(pickup(X2),X3))
| ~ holds(holding(c),do(pickup(X2),X3))
| ~ holds(clear(X2),X3)
| ~ holds(on(X2,d),X3)
| ~ holds(empty,X3)
| ~ holds(clear(b),X3)
| ~ differ(b,X2) ),
inference(resolution,[],[f559,f5]) ).
fof(f559,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(clear(a),do(pickup(X0),X1))
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f558,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(X0),X2)
| ~ holds(on(X0,X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',pickup_2) ).
fof(f558,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f557,f12]) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_a_b) ).
fof(f557,plain,
! [X0] :
( ~ differ(a,b)
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0) ),
inference(forward_literal_rewriting,[],[f556,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',symmetry_of_differ) ).
fof(f556,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,a) ),
inference(resolution,[],[f555,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/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',putdown_5) ).
fof(f555,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),X0) ),
inference(subsumption_resolution,[],[f554,f14]) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_a_d) ).
fof(f554,plain,
! [X0] :
( ~ differ(a,d)
| ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),X0) ),
inference(forward_literal_rewriting,[],[f553,f11]) ).
fof(f553,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,a) ),
inference(resolution,[],[f552,f10]) ).
fof(f552,plain,
! [X3] :
( ~ holds(clear(d),do(putdown(c,a),X3))
| ~ holds(clear(b),do(putdown(c,a),X3))
| ~ holds(clear(a),X3)
| ~ holds(holding(c),X3) ),
inference(subsumption_resolution,[],[f551,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',putdown_1) ).
fof(f551,plain,
! [X3] :
( ~ holds(clear(d),do(putdown(c,a),X3))
| ~ holds(empty,do(putdown(c,a),X3))
| ~ holds(clear(b),do(putdown(c,a),X3))
| ~ holds(clear(a),X3)
| ~ holds(holding(c),X3) ),
inference(subsumption_resolution,[],[f549,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',putdown_3) ).
fof(f549,plain,
! [X3] :
( ~ holds(clear(d),do(putdown(c,a),X3))
| ~ holds(clear(c),do(putdown(c,a),X3))
| ~ holds(empty,do(putdown(c,a),X3))
| ~ holds(clear(b),do(putdown(c,a),X3))
| ~ holds(clear(a),X3)
| ~ holds(holding(c),X3) ),
inference(resolution,[],[f547,f7]) ).
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/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',putdown_2) ).
fof(f547,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f546,f17]) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_b_d) ).
fof(f546,plain,
! [X0] :
( ~ differ(b,d)
| ~ holds(on(c,a),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(forward_literal_rewriting,[],[f545,f11]) ).
fof(f545,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,b)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f544,f16]) ).
fof(f544,plain,
! [X0] :
( ~ differ(b,c)
| ~ holds(on(c,a),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,b)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(forward_literal_rewriting,[],[f543,f11]) ).
fof(f543,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ differ(c,b)
| ~ holds(clear(d),X0)
| ~ differ(d,b)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(subsumption_resolution,[],[f542,f18]) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_b_table) ).
fof(f542,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ differ(c,b)
| ~ holds(clear(d),X0)
| ~ differ(d,b)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(resolution,[],[f538,f2]) ).
fof(f538,plain,
! [X2,X3] :
( ~ holds(holding(b),do(pickup(X2),X3))
| ~ holds(on(c,a),X3)
| ~ differ(c,X2)
| ~ holds(clear(d),X3)
| ~ differ(d,X2)
| ~ holds(clear(c),X3) ),
inference(duplicate_literal_removal,[],[f537]) ).
fof(f537,plain,
! [X2,X3] :
( ~ holds(holding(b),do(pickup(X2),X3))
| ~ holds(on(c,a),X3)
| ~ differ(c,X2)
| ~ holds(clear(d),X3)
| ~ differ(d,X2)
| ~ holds(clear(c),X3)
| ~ differ(c,X2) ),
inference(resolution,[],[f531,f5]) ).
fof(f531,plain,
! [X2,X3] :
( ~ holds(clear(c),do(pickup(X2),X3))
| ~ holds(holding(b),do(pickup(X2),X3))
| ~ holds(on(c,a),X3)
| ~ differ(c,X2)
| ~ holds(clear(d),X3)
| ~ differ(d,X2) ),
inference(resolution,[],[f441,f5]) ).
fof(f441,plain,
! [X4,X5] :
( ~ holds(clear(d),do(pickup(X4),X5))
| ~ holds(clear(c),do(pickup(X4),X5))
| ~ holds(holding(b),do(pickup(X4),X5))
| ~ holds(on(c,a),X5)
| ~ differ(c,X4) ),
inference(resolution,[],[f438,f4]) ).
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/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',pickup_3) ).
fof(f438,plain,
! [X3] :
( ~ holds(on(c,a),X3)
| ~ holds(clear(c),X3)
| ~ holds(clear(d),X3)
| ~ holds(holding(b),X3) ),
inference(subsumption_resolution,[],[f437,f6]) ).
fof(f437,plain,
! [X3] :
( ~ holds(empty,do(putdown(b,d),X3))
| ~ holds(on(c,a),X3)
| ~ holds(clear(c),X3)
| ~ holds(clear(d),X3)
| ~ holds(holding(b),X3) ),
inference(subsumption_resolution,[],[f436,f19]) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_c_d) ).
fof(f436,plain,
! [X3] :
( ~ holds(empty,do(putdown(b,d),X3))
| ~ holds(on(c,a),X3)
| ~ holds(clear(c),X3)
| ~ differ(c,d)
| ~ holds(clear(d),X3)
| ~ holds(holding(b),X3) ),
inference(resolution,[],[f428,f46]) ).
fof(f46,plain,
! [X0] :
( holds(sF0,do(putdown(b,d),X0))
| ~ holds(clear(d),X0)
| ~ holds(holding(b),X0) ),
inference(superposition,[],[f7,f32]) ).
fof(f32,plain,
on(b,d) = sF0,
introduced(function_definition,[]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(on(c,a),X2)
| ~ holds(clear(c),X2)
| ~ differ(c,X1) ),
inference(resolution,[],[f387,f10]) ).
fof(f387,plain,
! [X2,X0,X1] :
( ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(empty,do(putdown(X0,X1),X2))
| ~ holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(on(c,a),X2) ),
inference(resolution,[],[f383,f9]) ).
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/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',putdown_4) ).
fof(f383,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f382,f16]) ).
fof(f382,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(c,a),X0)
| ~ holds(empty,X0)
| ~ holds(sF0,X0)
| ~ differ(b,c) ),
inference(resolution,[],[f381,f42]) ).
fof(f42,plain,
! [X0,X1] :
( holds(sF0,do(pickup(X0),X1))
| ~ holds(sF0,X1)
| ~ differ(b,X0) ),
inference(superposition,[],[f4,f32]) ).
fof(f381,plain,
! [X0] :
( ~ holds(sF0,do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,a),X0)
| ~ holds(empty,X0) ),
inference(subsumption_resolution,[],[f380,f20]) ).
fof(f380,plain,
! [X0] :
( ~ holds(sF0,do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,a),X0)
| ~ holds(empty,X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f379]) ).
fof(f379,plain,
! [X0] :
( ~ holds(sF0,do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(on(c,a),X0)
| ~ holds(empty,X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f367,f2]) ).
fof(f367,plain,
! [X6,X7] :
( ~ holds(holding(c),do(pickup(X6),X7))
| ~ holds(sF0,do(pickup(X6),X7))
| ~ holds(clear(X6),X7)
| ~ holds(on(X6,a),X7)
| ~ holds(empty,X7) ),
inference(subsumption_resolution,[],[f365,f15]) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',differ_a_table) ).
fof(f365,plain,
! [X6,X7] :
( ~ holds(holding(c),do(pickup(X6),X7))
| ~ differ(a,table)
| ~ holds(sF0,do(pickup(X6),X7))
| ~ holds(clear(X6),X7)
| ~ holds(on(X6,a),X7)
| ~ holds(empty,X7) ),
inference(resolution,[],[f134,f30]) ).
fof(f30,axiom,
! [X2] : holds(clear(table),X2),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',clear_table) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ holds(clear(X2),do(pickup(X0),X1))
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ differ(a,X2)
| ~ holds(sF0,do(pickup(X0),X1))
| ~ holds(clear(X0),X1)
| ~ holds(on(X0,a),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f133,f3]) ).
fof(f133,plain,
! [X0,X1] :
( ~ holds(clear(a),X1)
| ~ holds(holding(c),X1)
| ~ holds(clear(X0),X1)
| ~ differ(a,X0)
| ~ holds(sF0,X1) ),
inference(resolution,[],[f127,f38]) ).
fof(f38,plain,
! [X2,X0,X1] :
( holds(sF0,do(putdown(X0,X1),X2))
| ~ holds(sF0,X2) ),
inference(superposition,[],[f9,f32]) ).
fof(f127,plain,
! [X0,X1] :
( ~ holds(sF0,do(putdown(c,X0),X1))
| ~ holds(clear(X0),X1)
| ~ holds(holding(c),X1)
| ~ holds(clear(a),X1)
| ~ differ(a,X0) ),
inference(resolution,[],[f92,f10]) ).
fof(f92,plain,
! [X8,X7] :
( ~ holds(clear(a),do(putdown(c,X7),X8))
| ~ holds(sF0,do(putdown(c,X7),X8))
| ~ holds(clear(X7),X8)
| ~ holds(holding(c),X8) ),
inference(subsumption_resolution,[],[f90,f6]) ).
fof(f90,plain,
! [X8,X7] :
( ~ holds(empty,do(putdown(c,X7),X8))
| ~ holds(clear(a),do(putdown(c,X7),X8))
| ~ holds(sF0,do(putdown(c,X7),X8))
| ~ holds(clear(X7),X8)
| ~ holds(holding(c),X8) ),
inference(resolution,[],[f86,f8]) ).
fof(f86,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f85,f12]) ).
fof(f85,plain,
! [X0] :
( ~ differ(a,b)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(sF0,X0) ),
inference(forward_literal_rewriting,[],[f84,f11]) ).
fof(f84,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(sF0,X0)
| ~ differ(b,a) ),
inference(resolution,[],[f76,f42]) ).
fof(f76,plain,
! [X0] :
( ~ holds(sF0,do(pickup(a),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f75,f13]) ).
fof(f75,plain,
! [X0] :
( ~ differ(a,c)
| ~ holds(sF0,do(pickup(a),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(forward_literal_rewriting,[],[f74,f11]) ).
fof(f74,plain,
! [X0] :
( ~ holds(sF0,do(pickup(a),X0))
| ~ holds(clear(c),X0)
| ~ differ(c,a)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(subsumption_resolution,[],[f73,f15]) ).
fof(f73,plain,
! [X0] :
( ~ holds(sF0,do(pickup(a),X0))
| ~ holds(clear(c),X0)
| ~ differ(c,a)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(resolution,[],[f56,f2]) ).
fof(f56,plain,
! [X2,X3] :
( ~ holds(holding(a),do(pickup(X2),X3))
| ~ holds(sF0,do(pickup(X2),X3))
| ~ holds(clear(c),X3)
| ~ differ(c,X2) ),
inference(resolution,[],[f54,f5]) ).
fof(f54,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(holding(a),X0)
| ~ holds(sF0,X0) ),
inference(resolution,[],[f52,f38]) ).
fof(f52,plain,
! [X0] :
( ~ holds(sF0,do(putdown(a,c),X0))
| ~ holds(holding(a),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f47,f37]) ).
fof(f37,plain,
! [X0] :
( ~ holds(sF1,X0)
| ~ holds(sF0,X0) ),
inference(subsumption_resolution,[],[f36,f35]) ).
fof(f35,plain,
! [X2] : ~ holds(sF2,X2),
inference(definition_folding,[],[f31,f34,f33,f32]) ).
fof(f33,plain,
on(a,c) = sF1,
introduced(function_definition,[]) ).
fof(f34,plain,
and(sF0,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f31,axiom,
! [X2] : ~ holds(and(on(b,d),on(a,c)),X2),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',prove_BD_AC) ).
fof(f36,plain,
! [X0] :
( holds(sF2,X0)
| ~ holds(sF0,X0)
| ~ holds(sF1,X0) ),
inference(superposition,[],[f1,f34]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720',and_definition) ).
fof(f47,plain,
! [X1] :
( holds(sF1,do(putdown(a,c),X1))
| ~ holds(clear(c),X1)
| ~ holds(holding(a),X1) ),
inference(superposition,[],[f7,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA008-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 06:29:09 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.23/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.S5gv2RRQmM/Vampire---4.8_5720
% 0.23/0.37 % (5904)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (5905)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.23/0.43 % (5907)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.23/0.43 % (5906)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.23/0.43 % (5908)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.23/0.43 % (5910)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.23/0.44 % (5909)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 % (5911)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.23/0.56 % (5909)First to succeed.
% 0.23/0.56 % (5909)Refutation found. Thanks to Tanya!
% 0.23/0.56 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.56 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.56 % (5909)------------------------------
% 0.23/0.56 % (5909)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.56 % (5909)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.56 % (5909)Termination reason: Refutation
% 0.23/0.56
% 0.23/0.56 % (5909)Memory used [KB]: 7164
% 0.23/0.56 % (5909)Time elapsed: 0.124 s
% 0.23/0.56 % (5909)------------------------------
% 0.23/0.56 % (5909)------------------------------
% 0.23/0.56 % (5904)Success in time 0.186 s
% 0.23/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------