TSTP Solution File: ROB011-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ROB011-1 : 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 : n001.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 18:16:01 EDT 2022
% Result : Unsatisfiable 0.18s 0.57s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(subsumption_resolution,[],[f74,f16]) ).
fof(f16,plain,
c != sF5,
inference(definition_folding,[],[f9,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
add(a,c) = sF0,
introduced(function_definition,[]) ).
fof(f11,plain,
sF1 = multiply(one,sF0),
introduced(function_definition,[]) ).
fof(f12,plain,
add(b,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f13,plain,
negate(sF2) = sF3,
introduced(function_definition,[]) ).
fof(f14,plain,
add(a,sF3) = sF4,
introduced(function_definition,[]) ).
fof(f15,plain,
sF5 = negate(sF4),
introduced(function_definition,[]) ).
fof(f9,axiom,
c != negate(add(a,negate(add(b,multiply(one,add(a,c)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_base_step) ).
fof(f74,plain,
c = sF5,
inference(backward_demodulation,[],[f15,f73]) ).
fof(f73,plain,
c = negate(sF4),
inference(forward_demodulation,[],[f72,f14]) ).
fof(f72,plain,
c = negate(add(a,sF3)),
inference(forward_demodulation,[],[f71,f13]) ).
fof(f71,plain,
c = negate(add(a,negate(sF2))),
inference(forward_demodulation,[],[f70,f18]) ).
fof(f18,plain,
add(b,sF0) = sF2,
inference(forward_demodulation,[],[f12,f17]) ).
fof(f17,plain,
sF1 = sF0,
inference(backward_demodulation,[],[f11,f4]) ).
fof(f4,axiom,
! [X0] : multiply(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_times_x) ).
fof(f70,plain,
c = negate(add(a,negate(add(b,sF0)))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f69,plain,
c = negate(add(a,negate(add(sF0,b)))),
inference(forward_demodulation,[],[f68,f32]) ).
fof(f32,plain,
! [X0] : add(sF0,X0) = add(a,add(X0,c)),
inference(superposition,[],[f22,f1]) ).
fof(f22,plain,
! [X10] : add(a,add(c,X10)) = add(sF0,X10),
inference(superposition,[],[f2,f10]) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_add) ).
fof(f68,plain,
c = negate(add(a,negate(add(a,add(b,c))))),
inference(forward_demodulation,[],[f67,f25]) ).
fof(f25,plain,
! [X3,X4,X5] : add(X5,add(X3,X4)) = add(X3,add(X4,X5)),
inference(superposition,[],[f2,f1]) ).
fof(f67,plain,
c = negate(add(a,negate(add(c,add(a,b))))),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f64,plain,
c = negate(add(negate(add(c,add(a,b))),a)),
inference(superposition,[],[f3,f59]) ).
fof(f59,plain,
a = negate(add(c,negate(add(a,b)))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
a = negate(add(negate(add(a,b)),c)),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ROB011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 12:40:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.50 % (10533)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)
% 0.18/0.54 % (10556)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55 % (10537)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=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.56 % (10527)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.56 % (10529)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.56 % (10537)Instruction limit reached!
% 0.18/0.56 % (10537)------------------------------
% 0.18/0.56 % (10537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (10548)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.18/0.56 % (10527)First to succeed.
% 0.18/0.56 % (10529)Instruction limit reached!
% 0.18/0.56 % (10529)------------------------------
% 0.18/0.56 % (10529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (10537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (10537)Termination reason: Unknown
% 0.18/0.56 % (10537)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (10537)Memory used [KB]: 6012
% 0.18/0.56 % (10537)Time elapsed: 0.145 s
% 0.18/0.56 % (10537)Instructions burned: 7 (million)
% 0.18/0.56 % (10537)------------------------------
% 0.18/0.56 % (10537)------------------------------
% 0.18/0.57 % (10529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (10527)Refutation found. Thanks to Tanya!
% 0.18/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.57 % (10527)------------------------------
% 0.18/0.57 % (10527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (10527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (10527)Termination reason: Refutation
% 0.18/0.57
% 0.18/0.57 % (10527)Memory used [KB]: 5884
% 0.18/0.57 % (10527)Time elapsed: 0.147 s
% 0.18/0.57 % (10527)Instructions burned: 5 (million)
% 0.18/0.57 % (10527)------------------------------
% 0.18/0.57 % (10527)------------------------------
% 0.18/0.57 % (10526)Success in time 0.222 s
%------------------------------------------------------------------------------