TSTP Solution File: NUN134-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% 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 : n009.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 18:08:14 EDT 2022
% Result : Unsatisfiable 1.75s 0.59s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 10 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f180,plain,
$false,
inference(trivial_inequality_removal,[],[f179]) ).
fof(f179,plain,
s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(forward_demodulation,[],[f178,f64]) ).
fof(f64,plain,
'+'(sum(a),sum(a)) = '+'(a,times(a,a)),
inference(backward_demodulation,[],[f14,f61]) ).
fof(f61,plain,
! [X4,X5] : '+'(X5,times(X4,X5)) = times(X5,s(X4)),
inference(superposition,[],[f11,f3]) ).
fof(f3,axiom,
! [X0,X1] : times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_comm) ).
fof(f11,axiom,
! [X0,X1] : times(s(X0),X1) = '+'(X1,times(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_s) ).
fof(f14,axiom,
'+'(sum(a),sum(a)) = times(a,s(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction_hypothesis) ).
fof(f178,plain,
s(s('+'(a,'+'(a,'+'(a,times(a,a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(forward_demodulation,[],[f177,f151]) ).
fof(f151,plain,
! [X2,X3] : '+'(X3,times(X3,X2)) = times(X3,s(X2)),
inference(superposition,[],[f61,f3]) ).
fof(f177,plain,
s(s('+'(a,'+'(a,times(a,s(a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(backward_demodulation,[],[f54,f151]) ).
fof(f54,plain,
s(s('+'(a,times(a,s(s(a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(forward_demodulation,[],[f53,f33]) ).
fof(f33,plain,
! [X0,X1] : '+'(X1,s(X0)) = s('+'(X1,X0)),
inference(superposition,[],[f20,f1]) ).
fof(f1,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_comm) ).
fof(f20,plain,
! [X2,X3] : '+'(X3,s(X2)) = s('+'(X2,X3)),
inference(superposition,[],[f10,f1]) ).
fof(f10,axiom,
! [X0,X1] : '+'(s(X0),X1) = s('+'(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_s) ).
fof(f53,plain,
s(s('+'(a,times(a,s(s(a)))))) != s('+'(a,s('+'(a,'+'(sum(a),sum(a)))))),
inference(backward_demodulation,[],[f27,f52]) ).
fof(f52,plain,
! [X0,X1] : '+'(X1,sum(s(X0))) = s('+'(X0,'+'(sum(X0),X1))),
inference(forward_demodulation,[],[f28,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_assoc) ).
fof(f28,plain,
! [X0,X1] : '+'(X1,sum(s(X0))) = s('+'('+'(X0,sum(X0)),X1)),
inference(superposition,[],[f20,f18]) ).
fof(f18,plain,
! [X3] : sum(s(X3)) = s('+'(X3,sum(X3))),
inference(backward_demodulation,[],[f13,f10]) ).
fof(f13,axiom,
! [X3] : sum(s(X3)) = '+'(s(X3),sum(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_s) ).
fof(f27,plain,
s(s('+'(a,times(a,s(s(a)))))) != s('+'(a,'+'(sum(a),sum(s(a))))),
inference(backward_demodulation,[],[f19,f26]) ).
fof(f26,plain,
! [X0,X1] : '+'(sum(s(X0)),X1) = s('+'(X0,'+'(sum(X0),X1))),
inference(forward_demodulation,[],[f25,f2]) ).
fof(f25,plain,
! [X0,X1] : '+'(sum(s(X0)),X1) = s('+'('+'(X0,sum(X0)),X1)),
inference(superposition,[],[f10,f18]) ).
fof(f19,plain,
'+'(sum(s(a)),sum(s(a))) != s(s('+'(a,times(a,s(s(a)))))),
inference(forward_demodulation,[],[f17,f10]) ).
fof(f17,plain,
'+'(sum(s(a)),sum(s(a))) != s('+'(s(a),times(a,s(s(a))))),
inference(backward_demodulation,[],[f16,f10]) ).
fof(f16,plain,
'+'(sum(s(a)),sum(s(a))) != '+'(s(s(a)),times(a,s(s(a)))),
inference(backward_demodulation,[],[f15,f11]) ).
fof(f15,axiom,
'+'(sum(s(a)),sum(s(a))) != times(s(a),s(s(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% 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
% 0.14/0.34 % Computer : n009.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 09:56:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.53 % (15856)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.55 % (15872)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 % (15864)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)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [3]
% 0.20/0.56 % (15873)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)
% 0.20/0.56 % (15865)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)
% 0.20/0.56 % (15857)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.58 % (15857)Instruction limit reached!
% 0.20/0.58 % (15857)------------------------------
% 0.20/0.58 % (15857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (15857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (15857)Termination reason: Unknown
% 0.20/0.58 % (15857)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (15857)Memory used [KB]: 5500
% 0.20/0.58 % (15857)Time elapsed: 0.098 s
% 0.20/0.58 % (15857)Instructions burned: 8 (million)
% 0.20/0.58 % (15857)------------------------------
% 0.20/0.58 % (15857)------------------------------
% 0.20/0.58 % (15873)First to succeed.
% 0.20/0.58 % (15854)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.75/0.59 % (15873)Refutation found. Thanks to Tanya!
% 1.75/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.75/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.59 % (15873)------------------------------
% 1.75/0.59 % (15873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59 % (15873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59 % (15873)Termination reason: Refutation
% 1.75/0.59
% 1.75/0.59 % (15873)Memory used [KB]: 5500
% 1.75/0.59 % (15873)Time elapsed: 0.088 s
% 1.75/0.59 % (15873)Instructions burned: 12 (million)
% 1.75/0.59 % (15873)------------------------------
% 1.75/0.59 % (15873)------------------------------
% 1.75/0.59 % (15849)Success in time 0.235 s
%------------------------------------------------------------------------------