TSTP Solution File: LCL087-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL087-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n001.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 17:46:49 EDT 2022
% Result : Unsatisfiable 2.02s 0.54s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 33 ~; 32 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,plain,
$false,
inference(avatar_sat_refutation,[],[f14,f34,f53,f80,f92,f98]) ).
fof(f98,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f91,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(a,implies(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_2) ).
fof(f91,plain,
( ! [X4,X5] : is_a_theorem(implies(X4,implies(X5,X4)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_7
<=> ! [X4,X5] : is_a_theorem(implies(X4,implies(X5,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f92,plain,
( spl0_7
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f86,f78,f12,f9,f90]) ).
fof(f9,plain,
( spl0_1
<=> ! [X5] : ~ is_a_theorem(X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f12,plain,
( spl0_2
<=> ! [X4,X0,X3,X2,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f78,plain,
( spl0_6
<=> ! [X4,X5] : is_a_theorem(implies(implies(implies(X4,X5),X4),implies(X5,X4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f86,plain,
( ! [X6,X4,X5] :
( ~ is_a_theorem(X6)
| is_a_theorem(implies(X4,implies(X5,X4))) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f81,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f81,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f79,f16]) ).
fof(f16,plain,
( ! [X10,X8,X6,X9,X7] :
( ~ is_a_theorem(implies(implies(implies(X9,X7),implies(X10,X7)),implies(X7,X8)))
| is_a_theorem(implies(X6,implies(X7,X8))) )
| ~ spl0_2 ),
inference(resolution,[],[f13,f1]) ).
fof(f13,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3))))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f79,plain,
( ! [X4,X5] : is_a_theorem(implies(implies(implies(X4,X5),X4),implies(X5,X4)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f80,plain,
( spl0_1
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f74,f51,f78,f9]) ).
fof(f51,plain,
( spl0_4
<=> ! [X4,X5] : is_a_theorem(implies(implies(X4,X5),implies(X5,implies(X4,X5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f74,plain,
( ! [X6,X4,X5] :
( is_a_theorem(implies(implies(implies(X4,X5),X4),implies(X5,X4)))
| ~ is_a_theorem(X6) )
| ~ spl0_4 ),
inference(resolution,[],[f54,f1]) ).
fof(f54,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1))))
| ~ spl0_4 ),
inference(resolution,[],[f52,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X2,X4),implies(X3,X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X6,X4,X5] : is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X5)),implies(X6,implies(implies(X5,X2),implies(X4,X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f52,plain,
( ! [X4,X5] : is_a_theorem(implies(implies(X4,X5),implies(X5,implies(X4,X5))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( spl0_4
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f47,f12,f9,f51]) ).
fof(f47,plain,
( ! [X6,X4,X5] :
( ~ is_a_theorem(X6)
| is_a_theorem(implies(implies(X4,X5),implies(X5,implies(X4,X5)))) )
| ~ spl0_2 ),
inference(resolution,[],[f19,f1]) ).
fof(f19,plain,
( ! [X10,X11,X12] : is_a_theorem(implies(X10,implies(implies(X11,X12),implies(X12,implies(X11,X12)))))
| ~ spl0_2 ),
inference(resolution,[],[f16,f13]) ).
fof(f34,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f27]) ).
fof(f27,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f10,f2]) ).
fof(f10,plain,
( ! [X5] : ~ is_a_theorem(X5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f14,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f12,f9]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3))))
| ~ is_a_theorem(X5) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[],[f4,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL087-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.26 % Computer : n001.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Aug 30 01:56:00 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.43 % (20676)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.10/0.43 % (20683)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 (3000ds/75Mi)
% 0.10/0.43 % (20675)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.10/0.44 % (20692)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.10/0.44 % (20676)Instruction limit reached!
% 0.10/0.44 % (20676)------------------------------
% 0.10/0.44 % (20676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44 % (20684)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.10/0.44 % (20676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.44 % (20676)Termination reason: Unknown
% 0.10/0.44 % (20676)Termination phase: Saturation
% 0.10/0.44
% 0.10/0.44 % (20676)Memory used [KB]: 5373
% 0.10/0.44 % (20676)Time elapsed: 0.117 s
% 0.10/0.44 % (20676)Instructions burned: 2 (million)
% 0.10/0.44 % (20676)------------------------------
% 0.10/0.44 % (20676)------------------------------
% 0.10/0.45 % (20675)Instruction limit reached!
% 0.10/0.45 % (20675)------------------------------
% 0.10/0.45 % (20675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (20691)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.10/0.45 % (20675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (20675)Termination reason: Unknown
% 0.10/0.45 % (20675)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (20675)Memory used [KB]: 5500
% 0.10/0.45 % (20675)Time elapsed: 0.132 s
% 0.10/0.45 % (20675)Instructions burned: 7 (million)
% 0.10/0.45 % (20675)------------------------------
% 0.10/0.45 % (20675)------------------------------
% 0.10/0.48 % (20673)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.10/0.49 % (20667)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 (3000ds/191324Mi)
% 0.10/0.49 TRYING [1]
% 0.10/0.49 TRYING [2]
% 0.10/0.49 % (20681)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.10/0.49 TRYING [3]
% 0.10/0.49 % (20680)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.10/0.49 % (20670)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.10/0.49 % (20695)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.10/0.49 % (20671)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.49 % (20693)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.10/0.50 % (20682)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 (3000ds/68Mi)
% 0.10/0.50 % (20697)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.10/0.50 % (20672)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.50 % (20686)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.50 % (20685)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.10/0.50 % (20674)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.50 % (20678)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.50 % (20679)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.50 % (20687)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.10/0.51 % (20677)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.10/0.51 % (20694)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 (3000ds/68Mi)
% 0.10/0.51 TRYING [4]
% 0.10/0.51 % (20690)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.10/0.51 % (20688)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.10/0.52 % (20696)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.10/0.52 % (20689)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.10/0.52 TRYING [1]
% 0.10/0.52 % (20688)First to succeed.
% 0.10/0.52 TRYING [2]
% 0.10/0.53 TRYING [3]
% 0.10/0.53 TRYING [1]
% 0.10/0.53 TRYING [2]
% 0.10/0.53 TRYING [3]
% 0.10/0.53 % (20669)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.10/0.54 % (20669)Refutation not found, incomplete strategy% (20669)------------------------------
% 0.10/0.54 % (20669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.54 % (20669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.54 % (20669)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.54
% 0.10/0.54 % (20669)Memory used [KB]: 5373
% 0.10/0.54 % (20669)Time elapsed: 0.177 s
% 0.10/0.54 % (20669)------------------------------
% 0.10/0.54 % (20669)------------------------------
% 0.10/0.54 TRYING [4]
% 2.02/0.54 % (20688)Refutation found. Thanks to Tanya!
% 2.02/0.54 % SZS status Unsatisfiable for theBenchmark
% 2.02/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.54 % (20688)------------------------------
% 2.02/0.54 % (20688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.54 % (20688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.54 % (20688)Termination reason: Refutation
% 2.02/0.54
% 2.02/0.54 % (20688)Memory used [KB]: 5500
% 2.02/0.54 % (20688)Time elapsed: 0.209 s
% 2.02/0.54 % (20688)Instructions burned: 4 (million)
% 2.02/0.54 % (20688)------------------------------
% 2.02/0.54 % (20688)------------------------------
% 2.02/0.54 % (20637)Success in time 0.277 s
%------------------------------------------------------------------------------