TSTP Solution File: LCL097-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL097-1 : 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_uns --cores 0 -t %d %s
% Computer : n004.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 17:38:50 EDT 2022
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(resolution,[],[f66,f10]) ).
fof(f10,plain,
! [X3,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X3,X4),equivalent(X3,X5)),X6),equivalent(equivalent(X4,X5),X6))),
inference(resolution,[],[f7,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4))
| is_a_theorem(X4) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
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(f7,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f6,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(f66,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e))),
inference(resolution,[],[f56,f10]) ).
fof(f56,plain,
! [X12,X13] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X12,equivalent(equivalent(a,b),c)),X13),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))
| ~ is_a_theorem(equivalent(equivalent(X12,e),X13)) ),
inference(resolution,[],[f38,f42]) ).
fof(f42,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(a,b),c)),equivalent(X0,e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
inference(resolution,[],[f32,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
fof(f32,plain,
! [X8,X6,X9,X7] :
( is_a_theorem(equivalent(equivalent(X7,X8),X9))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X6,X7),equivalent(X6,X8)),X9)) ),
inference(resolution,[],[f10,f1]) ).
fof(f38,plain,
! [X11,X14,X12,X13] :
( is_a_theorem(equivalent(equivalent(X11,X14),X13))
| ~ is_a_theorem(equivalent(equivalent(X11,X12),X13))
| ~ is_a_theorem(equivalent(X14,X12)) ),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X11,X14,X12,X13] :
( is_a_theorem(equivalent(equivalent(X14,X12),equivalent(equivalent(X11,X14),X13)))
| ~ is_a_theorem(equivalent(equivalent(X11,X12),X13)) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X2,X3),X4),equivalent(equivalent(X5,X3),equivalent(equivalent(X2,X5),X4)))),
inference(resolution,[],[f6,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL097-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % 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 : n004.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 01:31:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (3647)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)
% 0.21/0.49 % (3638)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)
% 0.21/0.49 % (3638)Refutation not found, incomplete strategy% (3638)------------------------------
% 0.21/0.49 % (3638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (3638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (3638)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (3638)Memory used [KB]: 1279
% 0.21/0.49 % (3638)Time elapsed: 0.096 s
% 0.21/0.49 % (3638)Instructions burned: 2 (million)
% 0.21/0.49 % (3638)------------------------------
% 0.21/0.49 % (3638)------------------------------
% 0.21/0.49 % (3647)Refutation not found, incomplete strategy% (3647)------------------------------
% 0.21/0.49 % (3647)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (3647)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (3647)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (3647)Memory used [KB]: 5756
% 0.21/0.49 % (3647)Time elapsed: 0.100 s
% 0.21/0.49 % (3647)Instructions burned: 1 (million)
% 0.21/0.49 % (3647)------------------------------
% 0.21/0.49 % (3647)------------------------------
% 0.21/0.49 % (3663)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.49 % (3663)Refutation not found, incomplete strategy% (3663)------------------------------
% 0.21/0.49 % (3663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (3663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (3663)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.49
% 0.21/0.49 % (3663)Memory used [KB]: 5756
% 0.21/0.49 % (3663)Time elapsed: 0.097 s
% 0.21/0.49 % (3663)Instructions burned: 2 (million)
% 0.21/0.49 % (3663)------------------------------
% 0.21/0.49 % (3663)------------------------------
% 0.21/0.50 % (3650)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.50 % (3650)Instruction limit reached!
% 0.21/0.50 % (3650)------------------------------
% 0.21/0.50 % (3650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (3650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (3650)Termination reason: Unknown
% 0.21/0.50 % (3650)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (3650)Memory used [KB]: 5884
% 0.21/0.50 % (3650)Time elapsed: 0.097 s
% 0.21/0.50 % (3650)Instructions burned: 5 (million)
% 0.21/0.50 % (3650)------------------------------
% 0.21/0.50 % (3650)------------------------------
% 0.21/0.50 % (3641)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)
% 0.21/0.50 % (3651)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.50 % (3651)Instruction limit reached!
% 0.21/0.50 % (3651)------------------------------
% 0.21/0.50 % (3651)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (3651)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (3651)Termination reason: Unknown
% 0.21/0.50 % (3651)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (3651)Memory used [KB]: 5884
% 0.21/0.50 % (3651)Time elapsed: 0.116 s
% 0.21/0.50 % (3651)Instructions burned: 3 (million)
% 0.21/0.50 % (3651)------------------------------
% 0.21/0.50 % (3651)------------------------------
% 0.21/0.51 % (3642)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)
% 0.21/0.51 % (3644)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)
% 0.21/0.51 % (3640)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.51 % (3640)Instruction limit reached!
% 0.21/0.51 % (3640)------------------------------
% 0.21/0.51 % (3640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (3640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (3640)Termination reason: Unknown
% 0.21/0.52 % (3665)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.52 % (3665)Refutation not found, incomplete strategy% (3665)------------------------------
% 0.21/0.52 % (3665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (3665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (3665)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (3665)Memory used [KB]: 1279
% 0.21/0.52 % (3665)Time elapsed: 0.121 s
% 0.21/0.52 % (3665)------------------------------
% 0.21/0.52 % (3665)------------------------------
% 0.21/0.52 % (3637)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.52 % (3666)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.52 % (3664)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.52 % (3652)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)
% 0.21/0.52 % (3649)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.53 % (3656)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.53 % (3643)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (3655)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.53 % (3656)Refutation not found, incomplete strategy% (3656)------------------------------
% 0.21/0.53 % (3656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (3656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (3656)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (3656)Memory used [KB]: 10234
% 0.21/0.53 % (3656)Time elapsed: 0.126 s
% 0.21/0.53 % (3656)Instructions burned: 1 (million)
% 0.21/0.53 % (3656)------------------------------
% 0.21/0.53 % (3656)------------------------------
% 0.21/0.53 % (3640)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (3640)Memory used [KB]: 5884
% 0.21/0.53 % (3640)Time elapsed: 0.107 s
% 0.21/0.53 % (3640)Instructions burned: 5 (million)
% 0.21/0.53 % (3640)------------------------------
% 0.21/0.53 % (3640)------------------------------
% 0.21/0.53 % (3660)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.53 % (3648)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.53 % (3643)First to succeed.
% 0.21/0.53 % (3643)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (3643)------------------------------
% 0.21/0.53 % (3643)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (3643)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (3643)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (3643)Memory used [KB]: 5884
% 0.21/0.53 % (3643)Time elapsed: 0.130 s
% 0.21/0.53 % (3643)Instructions burned: 5 (million)
% 0.21/0.53 % (3643)------------------------------
% 0.21/0.53 % (3643)------------------------------
% 0.21/0.53 % (3634)Success in time 0.174 s
%------------------------------------------------------------------------------