TSTP Solution File: LCL296-3 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL296-3 : TPTP v8.1.0. Released v2.3.0.
% 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 : n016.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 17:40:07 EDT 2022
% Result : Unsatisfiable 1.81s 0.61s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 25 unt; 0 def)
% Number of atoms : 47 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f101,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f100]) ).
fof(f100,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f99,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f97,f67]) ).
fof(f67,plain,
( ! [X1] : theorem(or(not(X1),X1))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl0_3
<=> ! [X1] : theorem(or(not(X1),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f97,plain,
~ theorem(or(not(or(not(p),not(q))),or(not(p),not(q)))),
inference(resolution,[],[f59,f15]) ).
fof(f15,plain,
~ theorem(not(or(not(or(not(or(not(p),not(q))),or(not(p),not(q)))),not(or(not(or(not(p),not(q))),or(not(p),not(q))))))),
inference(definition_unfolding,[],[f11,f12,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f10,axiom,
! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,axiom,
~ theorem(equivalent(implies(p,not(q)),or(not(p),not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f59,plain,
! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ),
inference(resolution,[],[f36,f14]) ).
fof(f14,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| ~ theorem(X4)
| theorem(X3) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( theorem(X3)
| ~ theorem(implies(X4,X3))
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f36,plain,
! [X10] : theorem(or(X10,not(or(X10,X10)))),
inference(resolution,[],[f28,f21]) ).
fof(f21,plain,
! [X0] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[],[f19,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f19,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f28,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f22,f14]) ).
fof(f22,plain,
! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[],[f18,f7]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f72,plain,
spl0_3,
inference(avatar_split_clause,[],[f63,f66]) ).
fof(f63,plain,
! [X4] : theorem(or(not(X4),X4)),
inference(resolution,[],[f38,f27]) ).
fof(f27,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f21,f14]) ).
fof(f38,plain,
! [X0,X1] : theorem(or(X0,or(not(X1),X1))),
inference(resolution,[],[f29,f20]) ).
fof(f20,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f16,f7]) ).
fof(f16,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f24,f14]) ).
fof(f24,plain,
! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[],[f13,f7]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL296-3 : TPTP v8.1.0. Released v2.3.0.
% 0.03/0.13 % 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 : n016.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 02:14:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.46/0.56 % (1374)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)
% 1.46/0.56 % (1366)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)
% 1.46/0.57 TRYING [1]
% 1.46/0.57 TRYING [2]
% 1.46/0.57 % (1378)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)
% 1.46/0.57 % (1358)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)
% 1.46/0.57 % (1366)Instruction limit reached!
% 1.46/0.57 % (1366)------------------------------
% 1.46/0.57 % (1366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (1366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.57 % (1366)Termination reason: Unknown
% 1.46/0.57 % (1366)Termination phase: Finite model building SAT solving
% 1.46/0.57
% 1.46/0.57 % (1366)Memory used [KB]: 5884
% 1.46/0.57 % (1366)Time elapsed: 0.084 s
% 1.46/0.57 % (1366)Instructions burned: 6 (million)
% 1.46/0.57 % (1366)------------------------------
% 1.46/0.57 % (1366)------------------------------
% 1.46/0.57 % (1358)Refutation not found, incomplete strategy% (1358)------------------------------
% 1.46/0.57 % (1358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.57 % (1370)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)
% 1.46/0.58 % (1358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.58 % (1358)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.58
% 1.46/0.58 % (1358)Memory used [KB]: 5756
% 1.46/0.58 % (1358)Time elapsed: 0.005 s
% 1.46/0.58 % (1358)Instructions burned: 1 (million)
% 1.46/0.58 % (1358)------------------------------
% 1.46/0.58 % (1358)------------------------------
% 1.46/0.58 % (1378)Refutation not found, incomplete strategy% (1378)------------------------------
% 1.46/0.58 % (1378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (1359)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)
% 1.81/0.58 % (1378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58 % (1378)Termination reason: Refutation not found, incomplete strategy
% 1.81/0.58
% 1.81/0.58 % (1378)Memory used [KB]: 1279
% 1.81/0.58 % (1378)Time elapsed: 0.151 s
% 1.81/0.58 % (1378)Instructions burned: 2 (million)
% 1.81/0.58 % (1378)------------------------------
% 1.81/0.58 % (1378)------------------------------
% 1.81/0.59 % (1359)Instruction limit reached!
% 1.81/0.59 % (1359)------------------------------
% 1.81/0.59 % (1359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (1359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (1359)Termination reason: Unknown
% 1.81/0.59 % (1359)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (1359)Memory used [KB]: 5756
% 1.81/0.59 % (1359)Time elapsed: 0.152 s
% 1.81/0.59 % (1359)Instructions burned: 4 (million)
% 1.81/0.59 % (1359)------------------------------
% 1.81/0.59 % (1359)------------------------------
% 1.81/0.59 % (1370)Instruction limit reached!
% 1.81/0.59 % (1370)------------------------------
% 1.81/0.59 % (1370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (1370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (1370)Termination reason: Unknown
% 1.81/0.59 % (1370)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (1370)Memory used [KB]: 5884
% 1.81/0.59 % (1370)Time elapsed: 0.156 s
% 1.81/0.59 % (1370)Instructions burned: 7 (million)
% 1.81/0.59 % (1370)------------------------------
% 1.81/0.59 % (1370)------------------------------
% 1.81/0.59 % (1355)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)
% 1.81/0.59 % (1356)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.81/0.60 % (1351)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.81/0.60 % (1354)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)
% 1.81/0.61 % (1354)First to succeed.
% 1.81/0.61 % (1354)Refutation found. Thanks to Tanya!
% 1.81/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.81/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.61 % (1354)------------------------------
% 1.81/0.61 % (1354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (1354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (1354)Termination reason: Refutation
% 1.81/0.61
% 1.81/0.61 % (1354)Memory used [KB]: 5884
% 1.81/0.61 % (1354)Time elapsed: 0.184 s
% 1.81/0.61 % (1354)Instructions burned: 4 (million)
% 1.81/0.61 % (1354)------------------------------
% 1.81/0.61 % (1354)------------------------------
% 1.81/0.61 % (1350)Success in time 0.258 s
%------------------------------------------------------------------------------