TSTP Solution File: LCL133-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL133-1 : 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 : n006.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 17:47:00 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(trivial_inequality_removal,[],[f306]) ).
fof(f306,plain,
truth != truth,
inference(superposition,[],[f245,f210]) ).
fof(f210,plain,
! [X1] : truth = X1,
inference(superposition,[],[f168,f36]) ).
fof(f36,plain,
! [X0] : implies(X0,X0) = X0,
inference(forward_demodulation,[],[f35,f7]) ).
fof(f7,plain,
! [X0] : implies(X0,truth) = X0,
inference(superposition,[],[f5,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f5,axiom,
! [X0,X1] : implies(X0,X1) = implies(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_antecedent) ).
fof(f35,plain,
! [X0] : implies(X0,truth) = implies(X0,X0),
inference(forward_demodulation,[],[f15,f7]) ).
fof(f15,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f168,plain,
! [X12] : truth = implies(X12,X12),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f167,plain,
! [X12] : truth = implies(X12,implies(truth,X12)),
inference(forward_demodulation,[],[f110,f149]) ).
fof(f149,plain,
! [X2,X0,X1] : implies(X0,X1) = implies(implies(X1,X2),implies(X0,X2)),
inference(forward_demodulation,[],[f148,f1]) ).
fof(f148,plain,
! [X2,X0,X1] : implies(implies(X1,X2),implies(X0,X2)) = implies(truth,implies(X0,X1)),
inference(forward_demodulation,[],[f147,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f147,plain,
! [X2,X0,X1] : implies(implies(X1,X2),implies(X0,X2)) = implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(X0,X1)),
inference(forward_demodulation,[],[f146,f5]) ).
fof(f146,plain,
! [X2,X0,X1] : implies(implies(X1,X2),implies(X0,X2)) = implies(implies(implies(implies(X1,X2),implies(X0,X2)),implies(X0,X1)),implies(X0,X1)),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f143,plain,
! [X2,X0,X1] : implies(implies(implies(implies(X1,X2),implies(X0,X2)),implies(X0,X1)),implies(X0,X1)) = implies(truth,implies(implies(X1,X2),implies(X0,X2))),
inference(superposition,[],[f3,f2]) ).
fof(f110,plain,
! [X12,X13] : truth = implies(X12,implies(implies(X12,X13),implies(truth,X13))),
inference(superposition,[],[f2,f1]) ).
fof(f245,plain,
truth != x,
inference(superposition,[],[f6,f210]) ).
fof(f6,axiom,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n006.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 01:36:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (19262)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (19262)First to succeed.
% 0.20/0.49 % (19261)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 (2999ds/37Mi)
% 0.20/0.50 % (19286)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 (2999ds/68Mi)
% 0.20/0.50 % (19271)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (19283)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (19275)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 (2999ds/75Mi)
% 0.20/0.50 % (19263)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (19262)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (19262)------------------------------
% 0.20/0.51 % (19262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (19262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (19262)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (19262)Memory used [KB]: 5500
% 0.20/0.51 % (19262)Time elapsed: 0.099 s
% 0.20/0.51 % (19262)Instructions burned: 10 (million)
% 0.20/0.51 % (19262)------------------------------
% 0.20/0.51 % (19262)------------------------------
% 0.20/0.51 % (19257)Success in time 0.155 s
%------------------------------------------------------------------------------