TSTP Solution File: LCL118-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL118-1 : 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 : n010.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 17:38:58 EDT 2022
% Result : Unsatisfiable 1.57s 0.55s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 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 : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99,plain,
$false,
inference(unit_resulting_resolution,[],[f2,f2,f91,f21]) ).
fof(f21,plain,
! [X10,X11,X9,X12] :
( is_a_theorem(equivalent(equivalent(X10,equivalent(X11,X12)),X9))
| ~ is_a_theorem(equivalent(X12,equivalent(X11,X10)))
| ~ is_a_theorem(X9) ),
inference(resolution,[],[f12,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f12,plain,
! [X10,X11,X9,X12] :
( is_a_theorem(equivalent(equivalent(X9,equivalent(X10,X11)),equivalent(equivalent(X11,equivalent(X10,X9)),X12)))
| ~ is_a_theorem(X12) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(equivalent(X3,equivalent(X2,X1)),X0)))),
inference(resolution,[],[f7,f2]) ).
fof(f7,plain,
! [X3,X4,X5] :
( ~ is_a_theorem(equivalent(X5,X4))
| is_a_theorem(equivalent(X3,equivalent(X4,equivalent(X5,X3)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(X0,X2))))),
inference(resolution,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X1,X0)))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f2,f1]) ).
fof(f91,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(c,a),X0),equivalent(equivalent(equivalent(c,b),equivalent(a,b)),X0))),
inference(resolution,[],[f63,f2]) ).
fof(f63,plain,
! [X8,X9,X7] :
( ~ is_a_theorem(equivalent(equivalent(X7,X9),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(equivalent(X7,X8),equivalent(X9,X8))) ),
inference(resolution,[],[f53,f24]) ).
fof(f24,plain,
! [X10,X11,X9,X12] :
( is_a_theorem(equivalent(equivalent(X9,equivalent(X10,equivalent(X11,X9))),X12))
| ~ is_a_theorem(equivalent(equivalent(X11,X10),X12)) ),
inference(resolution,[],[f13,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,equivalent(X1,equivalent(X0,X3))),X2))),
inference(resolution,[],[f9,f4]) ).
fof(f9,plain,
! [X6,X7,X4,X5] : is_a_theorem(equivalent(X4,equivalent(equivalent(X5,equivalent(X6,equivalent(X7,X5))),equivalent(equivalent(X7,X6),X4)))),
inference(resolution,[],[f7,f5]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))))
| ~ is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
inference(resolution,[],[f29,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_yqm) ).
fof(f29,plain,
! [X8,X6,X7,X5] :
( is_a_theorem(X8)
| ~ is_a_theorem(equivalent(equivalent(X5,equivalent(X6,X7)),X8))
| ~ is_a_theorem(equivalent(X7,equivalent(X6,X5))) ),
inference(resolution,[],[f18,f1]) ).
fof(f18,plain,
! [X10,X11,X9,X12] :
( is_a_theorem(equivalent(equivalent(X9,equivalent(X10,X11)),X12))
| ~ is_a_theorem(equivalent(equivalent(X11,equivalent(X10,X9)),X12)) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(equivalent(X2,equivalent(X1,X0)),X3))),
inference(resolution,[],[f8,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,equivalent(X1,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wo) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL118-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 01:29:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 % (10247)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)
% 0.20/0.53 % (10239)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)
% 0.20/0.53 % (10231)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)
% 0.20/0.53 % (10240)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (10240)Instruction limit reached!
% 0.20/0.53 % (10240)------------------------------
% 0.20/0.53 % (10240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10240)Termination reason: Unknown
% 0.20/0.53 % (10240)Termination phase: Finite model building SAT solving
% 0.20/0.53
% 0.20/0.53 % (10240)Memory used [KB]: 5884
% 0.20/0.53 % (10240)Time elapsed: 0.130 s
% 0.20/0.53 % (10240)Instructions burned: 6 (million)
% 0.20/0.53 % (10240)------------------------------
% 0.20/0.53 % (10240)------------------------------
% 0.20/0.54 % (10250)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)
% 0.20/0.54 % (10242)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (10250)Refutation not found, incomplete strategy% (10250)------------------------------
% 0.20/0.54 % (10250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (10250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (10250)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (10250)Memory used [KB]: 5756
% 0.20/0.54 % (10250)Time elapsed: 0.082 s
% 0.20/0.54 % (10250)Instructions burned: 1 (million)
% 0.20/0.54 % (10250)------------------------------
% 0.20/0.54 % (10250)------------------------------
% 0.20/0.54 % (10248)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (10232)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (10232)Refutation not found, incomplete strategy% (10232)------------------------------
% 0.20/0.54 % (10232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (10232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (10232)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (10232)Memory used [KB]: 5756
% 0.20/0.55 % (10232)Time elapsed: 0.131 s
% 0.20/0.55 % (10232)Instructions burned: 2 (million)
% 0.20/0.55 % (10232)------------------------------
% 0.20/0.55 % (10232)------------------------------
% 0.20/0.55 % (10242)Instruction limit reached!
% 0.20/0.55 % (10242)------------------------------
% 0.20/0.55 % (10242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (10226)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)
% 0.20/0.55 % (10242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (10242)Termination reason: Unknown
% 0.20/0.55 % (10242)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (10242)Memory used [KB]: 5884
% 0.20/0.55 % (10242)Time elapsed: 0.088 s
% 0.20/0.55 % (10242)Instructions burned: 9 (million)
% 0.20/0.55 % (10242)------------------------------
% 0.20/0.55 % (10242)------------------------------
% 0.20/0.55 % (10226)Refutation not found, incomplete strategy% (10226)------------------------------
% 0.20/0.55 % (10226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (10226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (10226)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (10226)Memory used [KB]: 1279
% 0.20/0.55 % (10226)Time elapsed: 0.105 s
% 0.20/0.55 % (10226)Instructions burned: 1 (million)
% 0.20/0.55 % (10226)------------------------------
% 0.20/0.55 % (10226)------------------------------
% 0.20/0.55 % (10251)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)
% 0.20/0.55 % (10251)Refutation not found, incomplete strategy% (10251)------------------------------
% 0.20/0.55 % (10251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (10251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (10251)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (10251)Memory used [KB]: 5756
% 0.20/0.55 % (10251)Time elapsed: 0.141 s
% 0.20/0.55 % (10251)Instructions burned: 1 (million)
% 0.20/0.55 % (10251)------------------------------
% 0.20/0.55 % (10251)------------------------------
% 0.20/0.55 % (10239)First to succeed.
% 0.20/0.55 % (10230)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.57/0.55 % (10239)Refutation found. Thanks to Tanya!
% 1.57/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.55 % (10239)------------------------------
% 1.57/0.55 % (10239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (10239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (10239)Termination reason: Refutation
% 1.57/0.55
% 1.57/0.55 % (10239)Memory used [KB]: 1535
% 1.57/0.55 % (10239)Time elapsed: 0.141 s
% 1.57/0.55 % (10239)Instructions burned: 16 (million)
% 1.57/0.55 % (10239)------------------------------
% 1.57/0.55 % (10239)------------------------------
% 1.57/0.55 % (10224)Success in time 0.2 s
%------------------------------------------------------------------------------