TSTP Solution File: LCL104-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL104-1 : 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 : 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 17:38:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 28 ( 16 ~; 12 |; 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(unit_resulting_resolution,[],[f6,f6,f2,f3,f37]) ).
fof(f37,plain,
! [X8,X6,X7] :
( ~ is_a_theorem(equivalent(X8,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X6))
| ~ is_a_theorem(equivalent(X6,X7))
| ~ is_a_theorem(equivalent(X7,X8)) ),
inference(resolution,[],[f18,f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f9,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f9,plain,
! [X2,X3,X1] :
( is_a_theorem(equivalent(equivalent(X3,X1),equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f6,f1]) ).
fof(f18,plain,
! [X3,X4] :
( ~ is_a_theorem(equivalent(X4,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(X3,X4))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X3)) ),
inference(resolution,[],[f12,f11]) ).
fof(f12,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X0)) ),
inference(resolution,[],[f11,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_4) ).
fof(f6,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[],[f2,f5]) ).
fof(f5,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)))
| is_a_theorem(X2) ),
inference(resolution,[],[f3,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL104-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % 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 : n015.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 01:47:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (19100)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)
% 0.20/0.50 % (19092)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)
% 0.20/0.51 % (19081)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)
% 0.20/0.51 % (19084)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)
% 0.20/0.51 % (19085)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)
% 0.20/0.52 % (19096)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)
% 0.20/0.52 % (19080)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)
% 0.20/0.52 % (19079)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)
% 0.20/0.53 % (19079)Refutation not found, incomplete strategy% (19079)------------------------------
% 0.20/0.53 % (19079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19079)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (19079)Memory used [KB]: 1279
% 0.20/0.53 % (19079)Time elapsed: 0.124 s
% 0.20/0.53 % (19079)------------------------------
% 0.20/0.53 % (19079)------------------------------
% 0.20/0.53 % (19105)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)
% 0.20/0.53 % (19105)Refutation not found, incomplete strategy% (19105)------------------------------
% 0.20/0.53 % (19105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19105)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (19105)Memory used [KB]: 1279
% 0.20/0.53 % (19105)Time elapsed: 0.129 s
% 0.20/0.53 % (19105)------------------------------
% 0.20/0.53 % (19105)------------------------------
% 0.20/0.53 % (19106)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)
% 0.20/0.53 % (19104)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)
% 0.20/0.53 % (19083)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (19082)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)
% 0.20/0.53 % (19078)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53 % (19085)Refutation not found, incomplete strategy% (19085)------------------------------
% 0.20/0.53 % (19085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19085)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (19085)Memory used [KB]: 5756
% 0.20/0.53 % (19085)Time elapsed: 0.127 s
% 0.20/0.53 % (19085)Instructions burned: 1 (million)
% 0.20/0.53 % (19085)------------------------------
% 0.20/0.53 % (19085)------------------------------
% 0.20/0.53 % (19103)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)
% 0.20/0.53 % (19102)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53 % (19088)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)
% 0.20/0.53 % (19104)Refutation not found, incomplete strategy% (19104)------------------------------
% 0.20/0.53 % (19104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19096)Refutation not found, incomplete strategy% (19096)------------------------------
% 0.20/0.53 % (19096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (19096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (19096)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (19096)Memory used [KB]: 10234
% 0.20/0.54 % (19096)Time elapsed: 0.142 s
% 0.20/0.54 % (19096)Instructions burned: 1 (million)
% 0.20/0.54 % (19096)------------------------------
% 0.20/0.54 % (19096)------------------------------
% 0.20/0.54 % (19095)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 % (19104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19104)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (19104)Memory used [KB]: 5756
% 0.20/0.54 % (19104)Time elapsed: 0.141 s
% 0.20/0.54 % (19104)Instructions burned: 1 (million)
% 0.20/0.54 % (19104)------------------------------
% 0.20/0.54 % (19104)------------------------------
% 0.20/0.54 % (19092)First to succeed.
% 0.20/0.54 % (19097)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (19098)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)
% 0.20/0.54 % (19088)Instruction limit reached!
% 0.20/0.54 % (19088)------------------------------
% 0.20/0.54 % (19088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19088)Termination reason: Unknown
% 0.20/0.54 % (19088)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (19088)Memory used [KB]: 5884
% 0.20/0.54 % (19088)Time elapsed: 0.144 s
% 0.20/0.54 % (19088)Instructions burned: 7 (million)
% 0.20/0.54 % (19088)------------------------------
% 0.20/0.54 % (19088)------------------------------
% 0.20/0.54 % (19087)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)
% 0.20/0.54 % (19087)Refutation not found, incomplete strategy% (19087)------------------------------
% 0.20/0.54 % (19087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19087)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (19087)Memory used [KB]: 5756
% 0.20/0.54 % (19087)Time elapsed: 0.139 s
% 0.20/0.54 % (19087)------------------------------
% 0.20/0.54 % (19087)------------------------------
% 0.20/0.54 % (19092)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (19092)------------------------------
% 0.20/0.54 % (19092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (19092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (19092)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (19092)Memory used [KB]: 1535
% 0.20/0.54 % (19092)Time elapsed: 0.073 s
% 0.20/0.54 % (19092)Instructions burned: 22 (million)
% 0.20/0.54 % (19092)------------------------------
% 0.20/0.54 % (19092)------------------------------
% 0.20/0.54 % (19077)Success in time 0.186 s
%------------------------------------------------------------------------------