TSTP Solution File: GRP542-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : n005.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 16:22:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(trivial_inequality_removal,[],[f255]) ).
fof(f255,plain,
a2 != a2,
inference(superposition,[],[f11,f245]) ).
fof(f245,plain,
a2 = sF3,
inference(superposition,[],[f13,f238]) ).
fof(f238,plain,
a2 = divide(identity,sF2),
inference(forward_demodulation,[],[f237,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f237,plain,
a2 = divide(divide(identity,identity),sF2),
inference(forward_demodulation,[],[f233,f4]) ).
fof(f233,plain,
a2 = divide(divide(identity,divide(identity,identity)),sF2),
inference(superposition,[],[f16,f4]) ).
fof(f16,plain,
! [X3] : a2 = divide(divide(identity,divide(divide(sF2,X3),identity)),X3),
inference(superposition,[],[f1,f9]) ).
fof(f9,plain,
sF2 = divide(identity,a2),
introduced(function_definition,[]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f13,plain,
divide(identity,sF2) = sF3,
inference(superposition,[],[f10,f12]) ).
fof(f12,plain,
identity = sF1,
inference(forward_demodulation,[],[f8,f4]) ).
fof(f8,plain,
sF1 = divide(sF0,sF0),
introduced(function_definition,[]) ).
fof(f10,plain,
divide(sF1,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f11,plain,
a2 != sF3,
inference(definition_folding,[],[f6,f10,f9,f8,f7,f7]) ).
fof(f7,plain,
divide(identity,b2) = sF0,
introduced(function_definition,[]) ).
fof(f6,plain,
a2 != divide(divide(divide(identity,b2),divide(identity,b2)),divide(identity,a2)),
inference(definition_unfolding,[],[f5,f2,f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = divide(identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(multiply(inverse(b2),b2),a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP542-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:32:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (18171)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.50 % (18178)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.20/0.51 % (18191)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 (3000ds/467Mi)
% 0.20/0.51 % (18178)First to succeed.
% 0.20/0.51 % (18182)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 (3000ds/75Mi)
% 0.20/0.51 % (18195)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 0.20/0.51 % (18172)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.20/0.51 % (18188)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.51 % (18177)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.51 % (18173)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (18174)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (18175)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (18178)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (18178)------------------------------
% 0.20/0.52 % (18178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18178)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (18178)Memory used [KB]: 5628
% 0.20/0.52 % (18178)Time elapsed: 0.102 s
% 0.20/0.52 % (18178)Instructions burned: 11 (million)
% 0.20/0.52 % (18178)------------------------------
% 0.20/0.52 % (18178)------------------------------
% 0.20/0.52 % (18163)Success in time 0.164 s
%------------------------------------------------------------------------------