TSTP Solution File: LCL096-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL096-1 : 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 : n009.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 17:46:51 EDT 2022
% Result : Unsatisfiable 1.52s 0.54s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 19 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(resolution,[],[f100,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
fof(f100,plain,
! [X2,X3] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,a)),equivalent(X3,equivalent(equivalent(b,b),a))),c),c)),
inference(resolution,[],[f74,f3]) ).
fof(f74,plain,
! [X11,X12,X13] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X11,equivalent(equivalent(X13,a),equivalent(X13,equivalent(equivalent(b,b),a)))),X12),c))
| ~ is_a_theorem(equivalent(equivalent(X11,c),X12)) ),
inference(resolution,[],[f45,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(equivalent(equivalent(X0,X4),X2),equivalent(equivalent(X1,X4),X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_4) ).
fof(f45,plain,
! [X10,X11,X9] :
( ~ is_a_theorem(equivalent(X10,equivalent(X9,equivalent(equivalent(equivalent(equivalent(X11,a),equivalent(X11,equivalent(equivalent(b,b),a))),c),c))))
| ~ is_a_theorem(X9)
| ~ is_a_theorem(X10) ),
inference(resolution,[],[f38,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f38,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,a),equivalent(X1,equivalent(equivalent(b,b),a))),c),c)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f36,f1]) ).
fof(f36,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,a),equivalent(X0,equivalent(equivalent(b,b),a))),c),c)),
inference(resolution,[],[f33,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).
fof(f33,plain,
! [X6,X7] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X6,equivalent(a,equivalent(equivalent(b,b),a))),X7),c))
| ~ is_a_theorem(equivalent(equivalent(X6,c),X7)) ),
inference(resolution,[],[f4,f7]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1,f5]) ).
fof(f5,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL096-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Aug 30 01:32:35 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.20/0.49 % (28819)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 (2999ds/48Mi)
% 0.20/0.49 % (28816)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 (2999ds/37Mi)
% 0.20/0.49 % (28820)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (28829)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)
% 0.20/0.49 % (28823)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (28834)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 (2999ds/100Mi)
% 0.20/0.50 % (28823)Instruction limit reached!
% 0.20/0.50 % (28823)------------------------------
% 0.20/0.50 % (28823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (28823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (28823)Termination reason: Unknown
% 0.20/0.50 % (28823)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (28823)Memory used [KB]: 5373
% 0.20/0.50 % (28823)Time elapsed: 0.114 s
% 0.20/0.50 % (28823)Instructions burned: 2 (million)
% 0.20/0.50 % (28823)------------------------------
% 0.20/0.50 % (28823)------------------------------
% 0.20/0.50 % (28830)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 (2999ds/75Mi)
% 0.20/0.50 % (28844)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 (2999ds/355Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (28842)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 (2999ds/177Mi)
% 0.20/0.50 % (28827)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50 TRYING [2]
% 0.20/0.51 % (28838)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 (2999ds/467Mi)
% 0.20/0.51 % (28818)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (28843)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (28831)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 (2999ds/99Mi)
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (28815)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (28817)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (28815)Refutation not found, incomplete strategy% (28815)------------------------------
% 0.20/0.51 % (28815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28815)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (28815)Memory used [KB]: 5373
% 0.20/0.51 % (28815)Time elapsed: 0.127 s
% 0.20/0.51 % (28815)Instructions burned: 1 (million)
% 0.20/0.51 % (28815)------------------------------
% 0.20/0.51 % (28815)------------------------------
% 0.20/0.51 % (28824)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 (2999ds/51Mi)
% 0.20/0.51 % (28841)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)
% 0.20/0.52 % (28826)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (28824)First to succeed.
% 0.20/0.52 % (28828)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (28835)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 (2999ds/176Mi)
% 0.20/0.52 % (28836)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (28814)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)
% 0.20/0.52 % (28840)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52 % (28832)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.52 % (28837)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 (2999ds/498Mi)
% 0.20/0.52 % (28833)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (28822)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (28822)Instruction limit reached!
% 0.20/0.53 % (28822)------------------------------
% 0.20/0.53 % (28822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (28825)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 TRYING [1]
% 1.52/0.53 TRYING [1]
% 1.52/0.53 % (28822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.53 % (28822)Termination reason: Unknown
% 1.52/0.53 % (28822)Termination phase: Saturation
% 1.52/0.53
% 1.52/0.53 % (28822)Memory used [KB]: 5500
% 1.52/0.53 % (28822)Time elapsed: 0.110 s
% 1.52/0.53 % (28822)Instructions burned: 7 (million)
% 1.52/0.53 % (28822)------------------------------
% 1.52/0.53 % (28822)------------------------------
% 1.52/0.53 TRYING [2]
% 1.52/0.53 TRYING [2]
% 1.52/0.53 TRYING [3]
% 1.52/0.54 % (28839)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.54 TRYING [3]
% 1.52/0.54 % (28824)Refutation found. Thanks to Tanya!
% 1.52/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.52/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.54 % (28824)------------------------------
% 1.52/0.54 % (28824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (28824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (28824)Termination reason: Refutation
% 1.52/0.54
% 1.52/0.54 % (28824)Memory used [KB]: 1151
% 1.52/0.54 % (28824)Time elapsed: 0.129 s
% 1.52/0.54 % (28824)Instructions burned: 7 (million)
% 1.52/0.54 % (28824)------------------------------
% 1.52/0.54 % (28824)------------------------------
% 1.52/0.54 % (28811)Success in time 0.199 s
%------------------------------------------------------------------------------