TSTP Solution File: LCL109-5 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL109-5 : 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 : n011.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 17:38:54 EDT 2022
% Result : Unsatisfiable 0.10s 0.49s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 19 unt; 0 def)
% Number of atoms : 37 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f482,plain,
$false,
inference(subsumption_resolution,[],[f467,f369]) ).
fof(f369,plain,
! [X1] : truth = implies(truth,X1),
inference(resolution,[],[f346,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ ordered(X0,X1)
| truth = implies(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition1) ).
fof(f346,plain,
! [X30] : ordered(truth,X30),
inference(subsumption_resolution,[],[f340,f314]) ).
fof(f314,plain,
! [X1] : ordered(X1,truth),
inference(superposition,[],[f240,f56]) ).
fof(f56,plain,
! [X0] : truth = implies(X0,X0),
inference(resolution,[],[f55,f7]) ).
fof(f55,plain,
! [X0] : ordered(X0,X0),
inference(subsumption_resolution,[],[f52,f25]) ).
fof(f25,plain,
ordered(truth,truth),
inference(equality_resolution,[],[f24]) ).
fof(f24,plain,
! [X0] :
( truth != X0
| ordered(truth,X0) ),
inference(superposition,[],[f8,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f8,axiom,
! [X0,X1] :
( truth != implies(X0,X1)
| ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partial_order_definition2) ).
fof(f52,plain,
! [X0] :
( ordered(X0,X0)
| ~ ordered(truth,truth) ),
inference(superposition,[],[f28,f1]) ).
fof(f28,plain,
! [X0,X1] :
( ordered(X0,implies(X1,X0))
| ~ ordered(truth,X1) ),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ordered(implies(X0,X2),implies(X1,X2))
| ~ ordered(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f240,plain,
! [X0] : ordered(X0,implies(X0,X0)),
inference(superposition,[],[f57,f36]) ).
fof(f36,plain,
! [X0] : implies(implies(X0,truth),truth) = implies(X0,X0),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f57,plain,
! [X2,X1] : ordered(X1,implies(implies(X1,X2),X2)),
inference(resolution,[],[f55,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ ordered(X0,implies(X1,X2))
| ordered(X1,implies(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_3_1) ).
fof(f340,plain,
! [X30] :
( ~ ordered(implies(not(X30),not(truth)),truth)
| ordered(truth,X30) ),
inference(superposition,[],[f29,f67]) ).
fof(f67,plain,
! [X0] : truth = implies(implies(not(X0),not(truth)),X0),
inference(superposition,[],[f4,f1]) ).
fof(f4,axiom,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f29,plain,
! [X0,X1] :
( ordered(implies(X1,X0),X0)
| ~ ordered(X1,truth) ),
inference(superposition,[],[f9,f1]) ).
fof(f467,plain,
truth != implies(truth,implies(y,x)),
inference(backward_demodulation,[],[f19,f385]) ).
fof(f385,plain,
! [X1] : truth = X1,
inference(superposition,[],[f369,f1]) ).
fof(f19,plain,
truth != implies(implies(implies(x,y),implies(y,x)),implies(y,x)),
inference(definition_unfolding,[],[f17,f5]) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_V_definition) ).
fof(f17,axiom,
truth != big_V(implies(x,y),implies(y,x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : LCL109-5 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.06/0.26 % Computer : n011.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue Aug 30 01:33:40 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.44 % (12056)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)
% 0.10/0.44 % (12056)Refutation not found, incomplete strategy% (12056)------------------------------
% 0.10/0.44 % (12056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44 % (12073)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)
% 0.10/0.45 % (12055)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)
% 0.10/0.45 % (12056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (12056)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.45
% 0.10/0.45 % (12056)Memory used [KB]: 5884
% 0.10/0.45 % (12056)Time elapsed: 0.116 s
% 0.10/0.45 % (12056)Instructions burned: 4 (million)
% 0.10/0.45 % (12056)------------------------------
% 0.10/0.45 % (12056)------------------------------
% 0.10/0.45 % (12057)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)
% 0.10/0.45 % (12057)Instruction limit reached!
% 0.10/0.45 % (12057)------------------------------
% 0.10/0.45 % (12057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (12057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (12057)Termination reason: Unknown
% 0.10/0.45 % (12057)Termination phase: Saturation
% 0.10/0.45
% 0.10/0.45 % (12057)Memory used [KB]: 5884
% 0.10/0.45 % (12057)Time elapsed: 0.123 s
% 0.10/0.45 % (12057)Instructions burned: 3 (million)
% 0.10/0.45 % (12057)------------------------------
% 0.10/0.45 % (12057)------------------------------
% 0.10/0.45 % (12072)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)
% 0.10/0.45 % (12072)Refutation not found, incomplete strategy% (12072)------------------------------
% 0.10/0.45 % (12072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (12072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (12072)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.45
% 0.10/0.45 % (12072)Memory used [KB]: 5884
% 0.10/0.45 % (12072)Time elapsed: 0.123 s
% 0.10/0.45 % (12072)Instructions burned: 2 (million)
% 0.10/0.45 % (12072)------------------------------
% 0.10/0.45 % (12072)------------------------------
% 0.10/0.45 % (12064)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)
% 0.10/0.46 % (12063)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)
% 0.10/0.46 % (12071)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)
% 0.10/0.46 % (12064)Instruction limit reached!
% 0.10/0.46 % (12064)------------------------------
% 0.10/0.46 % (12064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (12064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (12064)Termination reason: Unknown
% 0.10/0.46 % (12064)Termination phase: Finite model building preprocessing
% 0.10/0.46
% 0.10/0.46 % (12064)Memory used [KB]: 6012
% 0.10/0.46 % (12064)Time elapsed: 0.009 s
% 0.10/0.46 % (12064)Instructions burned: 6 (million)
% 0.10/0.46 % (12064)------------------------------
% 0.10/0.46 % (12064)------------------------------
% 0.10/0.46 % (12065)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.46 % (12071)Refutation not found, incomplete strategy% (12071)------------------------------
% 0.10/0.46 % (12071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (12065)Instruction limit reached!
% 0.10/0.46 % (12065)------------------------------
% 0.10/0.46 % (12065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.46 % (12065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46 % (12065)Termination reason: Unknown
% 0.10/0.46 % (12065)Termination phase: Property scanning
% 0.10/0.46
% 0.10/0.46 % (12065)Memory used [KB]: 1279
% 0.10/0.46 % (12065)Time elapsed: 0.003 s
% 0.10/0.46 % (12065)Instructions burned: 2 (million)
% 0.10/0.46 % (12065)------------------------------
% 0.10/0.46 % (12065)------------------------------
% 0.10/0.47 % (12071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (12071)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.47
% 0.10/0.47 % (12071)Memory used [KB]: 5884
% 0.10/0.47 % (12071)Time elapsed: 0.123 s
% 0.10/0.47 % (12071)Instructions burned: 3 (million)
% 0.10/0.47 % (12071)------------------------------
% 0.10/0.47 % (12071)------------------------------
% 0.10/0.49 % (12073)First to succeed.
% 0.10/0.49 % (12052)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)
% 0.10/0.49 % (12073)Refutation found. Thanks to Tanya!
% 0.10/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.49 % (12073)------------------------------
% 0.10/0.49 % (12073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (12073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (12073)Termination reason: Refutation
% 0.10/0.49
% 0.10/0.49 % (12073)Memory used [KB]: 6268
% 0.10/0.49 % (12073)Time elapsed: 0.165 s
% 0.10/0.49 % (12073)Instructions burned: 21 (million)
% 0.10/0.49 % (12073)------------------------------
% 0.10/0.49 % (12073)------------------------------
% 0.10/0.49 % (12032)Success in time 0.223 s
%------------------------------------------------------------------------------