TSTP Solution File: LCL257-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% 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 : 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 : Wed Aug 31 17:39:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 93 ( 57 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 8 ( 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 : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(resolution,[],[f134,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yql) ).
fof(f134,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(z,x),X0)),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ is_a_theorem(equivalent(equivalent(z,x),X0))
| ~ is_a_theorem(equivalent(equivalent(z,x),X0)) ),
inference(resolution,[],[f127,f2]) ).
fof(f127,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(z,x),equivalent(z,x)))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f122,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f122,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(z,x),equivalent(z,x))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f120,f1]) ).
fof(f120,plain,
~ is_a_theorem(equivalent(equivalent(z,x),equivalent(z,x))),
inference(resolution,[],[f107,f2]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(z,x),z),X1),equivalent(equivalent(X2,x),equivalent(X1,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f94,f2]) ).
fof(f94,plain,
! [X2,X3,X4] :
( ~ is_a_theorem(equivalent(equivalent(X2,x),X3))
| ~ is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(equivalent(z,x),z),X2),X3)))
| ~ is_a_theorem(X4) ),
inference(resolution,[],[f77,f1]) ).
fof(f77,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),X0),X1))
| ~ is_a_theorem(equivalent(equivalent(X0,x),X1)) ),
inference(resolution,[],[f65,f2]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(X2,x),equivalent(equivalent(equivalent(z,x),z),X2)))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f62,f1]) ).
fof(f62,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,x),equivalent(equivalent(equivalent(z,x),z),X1))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f60,f2]) ).
fof(f60,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(z,x),z),x),X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X1,X0)) ),
inference(resolution,[],[f53,f2]) ).
fof(f53,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(X2,equivalent(X1,equivalent(equivalent(equivalent(z,x),z),x)))))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f45,f1]) ).
fof(f45,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(z,x),z),x))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f22,f2]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))
| ~ is_a_theorem(equivalent(X2,equivalent(X1,equivalent(X0,x))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,x)))
| ~ is_a_theorem(equivalent(X1,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f2]) ).
fof(f13,plain,
! [X2,X3,X4] :
( ~ is_a_theorem(equivalent(X4,equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),X3)))
| ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f9,f1]) ).
fof(f9,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))),X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(equivalent(X3,equivalent(X1,equivalent(X2,equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))))
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y))))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(x,equivalent(equivalent(y,z),equivalent(equivalent(z,x),y)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xhn) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL257-1 : TPTP v8.1.0. Released v2.0.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 01:59:50 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (24204)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.52 % (24184)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 % (24196)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)
% 0.21/0.52 % (24207)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)
% 0.21/0.52 % (24199)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)
% 0.21/0.52 % (24196)Instruction limit reached!
% 0.21/0.52 % (24196)------------------------------
% 0.21/0.52 % (24196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (24196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (24196)Termination reason: Unknown
% 0.21/0.52 % (24196)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (24196)Memory used [KB]: 5884
% 0.21/0.52 % (24196)Time elapsed: 0.109 s
% 0.21/0.52 % (24196)Instructions burned: 7 (million)
% 0.21/0.52 % (24196)------------------------------
% 0.21/0.52 % (24196)------------------------------
% 0.21/0.52 TRYING [1]
% 0.21/0.52 % (24185)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)
% 0.21/0.52 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (24213)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)
% 0.21/0.53 % (24191)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)
% 0.21/0.53 % (24199)Instruction limit reached!
% 0.21/0.53 % (24199)------------------------------
% 0.21/0.53 % (24199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24191)Refutation not found, incomplete strategy% (24191)------------------------------
% 0.21/0.53 % (24191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (24199)Termination reason: Unknown
% 0.21/0.53 % (24199)Termination phase: Finite model building SAT solving
% 0.21/0.53
% 0.21/0.53 % (24199)Memory used [KB]: 5884
% 0.21/0.53 % (24199)Time elapsed: 0.060 s
% 0.21/0.53 % (24199)Instructions burned: 6 (million)
% 0.21/0.53 % (24199)------------------------------
% 0.21/0.53 % (24199)------------------------------
% 0.21/0.53 % (24191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (24191)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (24191)Memory used [KB]: 5756
% 0.21/0.53 % (24191)Time elapsed: 0.061 s
% 0.21/0.53 % (24191)Instructions burned: 1 (million)
% 0.21/0.53 % (24191)------------------------------
% 0.21/0.53 % (24191)------------------------------
% 0.21/0.53 % (24192)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (24207)First to succeed.
% 0.21/0.53 % (24192)Instruction limit reached!
% 0.21/0.53 % (24192)------------------------------
% 0.21/0.53 % (24192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (24192)Termination reason: Unknown
% 0.21/0.53 % (24192)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (24192)Memory used [KB]: 5756
% 0.21/0.53 % (24192)Time elapsed: 0.129 s
% 0.21/0.53 % (24192)Instructions burned: 3 (million)
% 0.21/0.53 % (24192)------------------------------
% 0.21/0.53 % (24192)------------------------------
% 0.21/0.53 % (24204)Instruction limit reached!
% 0.21/0.53 % (24204)------------------------------
% 0.21/0.53 % (24204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (24188)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)
% 0.21/0.54 % (24207)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (24207)------------------------------
% 0.21/0.54 % (24207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (24207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (24207)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (24207)Memory used [KB]: 6012
% 0.21/0.54 % (24207)Time elapsed: 0.067 s
% 0.21/0.54 % (24207)Instructions burned: 13 (million)
% 0.21/0.54 % (24207)------------------------------
% 0.21/0.54 % (24207)------------------------------
% 0.21/0.54 % (24180)Success in time 0.166 s
%------------------------------------------------------------------------------