TSTP Solution File: LCL153-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL153-1 : 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 : n028.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 17:39:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f351,plain,
$false,
inference(trivial_inequality_removal,[],[f349]) ).
fof(f349,plain,
not(x) != not(x),
inference(superposition,[],[f268,f269]) ).
fof(f269,plain,
! [X3] : implies(implies(X3,truth),not(X3)) = not(X3),
inference(backward_demodulation,[],[f260,f254]) ).
fof(f254,plain,
! [X4,X5] : implies(not(X5),not(X4)) = implies(X4,X5),
inference(superposition,[],[f21,f226]) ).
fof(f226,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f225,f1]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f225,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f224,f154]) ).
fof(f154,plain,
! [X5] : truth = implies(not(not(X5)),X5),
inference(forward_demodulation,[],[f153,f1]) ).
fof(f153,plain,
! [X5] : truth = implies(implies(truth,not(not(X5))),X5),
inference(forward_demodulation,[],[f151,f73]) ).
fof(f73,plain,
truth = not(not(truth)),
inference(superposition,[],[f69,f1]) ).
fof(f69,plain,
truth = implies(truth,not(not(truth))),
inference(superposition,[],[f34,f58]) ).
fof(f58,plain,
truth = implies(not(not(truth)),not(not(truth))),
inference(superposition,[],[f39,f34]) ).
fof(f39,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/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f34,plain,
! [X1] : truth = implies(implies(not(not(truth)),X1),X1),
inference(superposition,[],[f29,f21]) ).
fof(f29,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(f151,plain,
! [X5] : truth = implies(implies(not(not(truth)),not(not(X5))),X5),
inference(superposition,[],[f4,f118]) ).
fof(f118,plain,
! [X3] : implies(not(X3),not(truth)) = X3,
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
! [X3] : implies(not(X3),not(truth)) = implies(truth,X3),
inference(superposition,[],[f21,f73]) ).
fof(f224,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f218,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(superposition,[],[f3,f201]) ).
fof(f201,plain,
! [X1] : truth = implies(X1,not(not(X1))),
inference(superposition,[],[f166,f1]) ).
fof(f166,plain,
! [X2] : truth = implies(truth,implies(X2,not(not(X2)))),
inference(superposition,[],[f4,f154]) ).
fof(f21,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(definition_unfolding,[],[f7,f5,f5]) ).
fof(f5,axiom,
! [X0,X1] : or(X0,X1) = implies(not(X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_definition) ).
fof(f7,axiom,
! [X0,X1] : or(X0,X1) = or(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_commutativity) ).
fof(f260,plain,
! [X3] : implies(implies(not(truth),not(X3)),not(X3)) = not(X3),
inference(backward_demodulation,[],[f149,f257]) ).
fof(f257,plain,
! [X9] : not(X9) = implies(X9,not(truth)),
inference(superposition,[],[f118,f226]) ).
fof(f149,plain,
! [X3] : implies(implies(not(truth),not(X3)),not(X3)) = implies(X3,not(truth)),
inference(superposition,[],[f3,f118]) ).
fof(f268,plain,
not(x) != implies(implies(x,truth),not(x)),
inference(backward_demodulation,[],[f244,f254]) ).
fof(f244,plain,
not(x) != implies(implies(not(truth),not(x)),not(x)),
inference(forward_demodulation,[],[f235,f226]) ).
fof(f235,plain,
not(x) != implies(implies(not(truth),not(x)),not(not(not(x)))),
inference(backward_demodulation,[],[f86,f226]) ).
fof(f86,plain,
not(x) != implies(not(not(implies(not(truth),not(x)))),not(not(not(x)))),
inference(forward_demodulation,[],[f85,f21]) ).
fof(f85,plain,
not(x) != implies(not(not(implies(not(not(x)),truth))),not(not(not(x)))),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f78,plain,
not(x) != implies(not(not(implies(not(not(x)),truth))),not(implies(truth,not(not(x))))),
inference(backward_demodulation,[],[f26,f73]) ).
fof(f26,plain,
not(x) != implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(truth)),not(not(x))))),
inference(backward_demodulation,[],[f22,f21]) ).
fof(f22,plain,
not(x) != implies(not(not(implies(not(not(x)),not(not(truth))))),not(implies(not(not(not(x))),not(truth)))),
inference(definition_unfolding,[],[f17,f19]) ).
fof(f19,plain,
! [X0,X1] : xor(X0,X1) = implies(not(not(implies(not(not(X0)),not(not(X1))))),not(implies(not(not(not(X0))),not(X1)))),
inference(definition_unfolding,[],[f11,f5,f18,f18]) ).
fof(f18,plain,
! [X0,X1] : and(X0,X1) = not(implies(not(not(X0)),not(X1))),
inference(definition_unfolding,[],[f8,f5]) ).
fof(f8,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f11,axiom,
! [X0,X1] : xor(X0,X1) = or(and(X0,not(X1)),and(not(X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xor_definition) ).
fof(f17,axiom,
not(x) != xor(x,truth),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL153-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 01:48:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 % (16821)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.50 % (16814)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50 % (16838)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.20/0.50 % (16829)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.20/0.51 % (16834)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.51 % (16817)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51 % (16820)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (16817)Instruction limit reached!
% 0.20/0.51 % (16817)------------------------------
% 0.20/0.51 % (16817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16817)Termination reason: Unknown
% 0.20/0.51 % (16817)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (16817)Memory used [KB]: 5500
% 0.20/0.51 % (16817)Time elapsed: 0.117 s
% 0.20/0.51 % (16817)Instructions burned: 6 (million)
% 0.20/0.51 % (16817)------------------------------
% 0.20/0.51 % (16817)------------------------------
% 0.20/0.51 % (16824)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=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51 % (16822)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (16839)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.20/0.52 % (16830)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.20/0.52 % (16820)Instruction limit reached!
% 0.20/0.52 % (16820)------------------------------
% 0.20/0.52 % (16820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16820)Termination reason: Unknown
% 0.20/0.52 % (16820)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (16820)Memory used [KB]: 5500
% 0.20/0.52 % (16820)Time elapsed: 0.069 s
% 0.20/0.52 % (16820)Instructions burned: 7 (million)
% 0.20/0.52 % (16820)------------------------------
% 0.20/0.52 % (16820)------------------------------
% 0.20/0.52 % (16831)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (16827)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.20/0.52 % (16825)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (16829)First to succeed.
% 0.20/0.53 % (16829)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (16829)------------------------------
% 0.20/0.53 % (16829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (16829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (16829)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (16829)Memory used [KB]: 5628
% 0.20/0.53 % (16829)Time elapsed: 0.070 s
% 0.20/0.53 % (16829)Instructions burned: 17 (million)
% 0.20/0.53 % (16829)------------------------------
% 0.20/0.53 % (16829)------------------------------
% 0.20/0.53 % (16813)Success in time 0.173 s
%------------------------------------------------------------------------------