TSTP Solution File: LCL106-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL106-1 : 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 : n027.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 17:46:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(subsumption_resolution,[],[f55,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_4) ).
fof(f55,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(c,b))),
inference(resolution,[],[f21,f7]) ).
fof(f7,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_1) ).
fof(f21,plain,
! [X2,X1] :
( is_a_theorem(equivalent(X2,equivalent(X1,equivalent(equivalent(c,a),equivalent(c,b)))))
| is_a_theorem(equivalent(equivalent(X1,equivalent(a,b)),X2)) ),
inference(resolution,[],[f13,f14]) ).
fof(f14,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(a,b))),equivalent(X0,equivalent(X1,equivalent(equivalent(c,a),equivalent(c,b)))))),
inference(resolution,[],[f11,f9]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))) ),
inference(resolution,[],[f6,f5]) ).
fof(f5,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0)
| ~ is_a_theorem(X1) ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f11,plain,
! [X0] : is_a_theorem(equivalent(equivalent(X0,equivalent(a,b)),equivalent(X0,equivalent(equivalent(c,a),equivalent(c,b))))),
inference(resolution,[],[f9,f8]) ).
fof(f8,plain,
is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_q_2) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f10,f5]) ).
fof(f10,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f7,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.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 01:51:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.50 % (23090)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.21/0.51 % (23081)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)
% 0.21/0.51 % (23080)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)
% 0.21/0.51 % (23079)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)
% 0.21/0.51 % (23086)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.51 % (23092)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)
% 0.21/0.52 % (23079)Refutation not found, incomplete strategy% (23079)------------------------------
% 0.21/0.52 % (23079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23079)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (23079)Memory used [KB]: 5373
% 0.21/0.52 % (23079)Time elapsed: 0.106 s
% 0.21/0.52 % (23079)Instructions burned: 1 (million)
% 0.21/0.52 % (23079)------------------------------
% 0.21/0.52 % (23079)------------------------------
% 0.21/0.52 % (23089)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)
% 0.21/0.52 % (23102)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.21/0.52 % (23094)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)
% 0.21/0.52 % (23086)Instruction limit reached!
% 0.21/0.52 % (23086)------------------------------
% 0.21/0.52 % (23086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23082)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.21/0.52 % (23086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23086)Termination reason: Unknown
% 0.21/0.52 % (23086)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (23086)Memory used [KB]: 5373
% 0.21/0.52 % (23086)Time elapsed: 0.121 s
% 0.21/0.52 % (23086)Instructions burned: 2 (million)
% 0.21/0.52 % (23086)------------------------------
% 0.21/0.52 % (23086)------------------------------
% 0.21/0.52 % (23097)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)
% 0.21/0.52 % (23093)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)
% 0.21/0.52 % (23097)First to succeed.
% 0.21/0.52 % (23097)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (23097)------------------------------
% 0.21/0.52 % (23097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (23097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (23097)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (23097)Memory used [KB]: 895
% 0.21/0.52 % (23097)Time elapsed: 0.135 s
% 0.21/0.52 % (23097)Instructions burned: 5 (million)
% 0.21/0.52 % (23097)------------------------------
% 0.21/0.52 % (23097)------------------------------
% 0.21/0.52 % (23074)Success in time 0.166 s
%------------------------------------------------------------------------------