TSTP Solution File: GRP574-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP574-1 : 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 : n013.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 16:22:54 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,plain,
$false,
inference(trivial_inequality_removal,[],[f54]) ).
fof(f54,plain,
a2 != a2,
inference(superposition,[],[f10,f51]) ).
fof(f51,plain,
a2 = sF1,
inference(forward_demodulation,[],[f49,f25]) ).
fof(f25,plain,
a2 = double_divide(double_divide(identity,double_divide(identity,sF0)),double_divide(identity,identity)),
inference(superposition,[],[f15,f11]) ).
fof(f11,plain,
identity = double_divide(a2,sF0),
inference(superposition,[],[f7,f8]) ).
fof(f8,plain,
sF0 = double_divide(a2,identity),
introduced(function_definition,[]) ).
fof(f7,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f15,plain,
! [X6] : double_divide(double_divide(identity,double_divide(double_divide(X6,sF0),sF0)),double_divide(identity,identity)) = X6,
inference(superposition,[],[f1,f8]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f49,plain,
double_divide(double_divide(identity,double_divide(identity,sF0)),double_divide(identity,identity)) = sF1,
inference(superposition,[],[f15,f47]) ).
fof(f47,plain,
identity = double_divide(sF1,sF0),
inference(forward_demodulation,[],[f45,f19]) ).
fof(f19,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[],[f1,f7]) ).
fof(f45,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(sF1,sF0),
inference(superposition,[],[f1,f42]) ).
fof(f42,plain,
identity = double_divide(double_divide(sF1,sF0),double_divide(identity,identity)),
inference(superposition,[],[f1,f38]) ).
fof(f38,plain,
sF0 = double_divide(double_divide(identity,double_divide(identity,sF1)),double_divide(identity,identity)),
inference(superposition,[],[f16,f12]) ).
fof(f12,plain,
identity = double_divide(sF0,sF1),
inference(superposition,[],[f7,f9]) ).
fof(f9,plain,
double_divide(sF0,identity) = sF1,
introduced(function_definition,[]) ).
fof(f16,plain,
! [X7] : double_divide(double_divide(identity,double_divide(double_divide(X7,sF1),sF1)),double_divide(identity,identity)) = X7,
inference(superposition,[],[f1,f9]) ).
fof(f10,plain,
a2 != sF1,
inference(definition_folding,[],[f6,f9,f8]) ).
fof(f6,plain,
a2 != double_divide(double_divide(a2,identity),identity),
inference(definition_unfolding,[],[f5,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
a2 != multiply(identity,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % 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 : n013.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 : Mon Aug 29 22:29:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (24292)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.49 % (24292)Instruction limit reached!
% 0.20/0.49 % (24292)------------------------------
% 0.20/0.49 % (24292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (24300)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)
% 0.20/0.49 % (24292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (24292)Termination reason: Unknown
% 0.20/0.49 % (24292)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (24292)Memory used [KB]: 5500
% 0.20/0.49 % (24292)Time elapsed: 0.082 s
% 0.20/0.49 % (24292)Instructions burned: 8 (million)
% 0.20/0.49 % (24292)------------------------------
% 0.20/0.49 % (24292)------------------------------
% 0.20/0.52 % (24286)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.52 % (24307)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 (3000ds/498Mi)
% 0.20/0.53 % (24289)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53 % (24314)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.20/0.53 % (24312)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)
% 0.20/0.53 % (24287)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 (3000ds/37Mi)
% 0.20/0.53 % (24288)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.20/0.53 % (24290)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)
% 0.20/0.53 % (24308)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)
% 0.20/0.53 % (24285)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (24288)First to succeed.
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (24288)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (24288)------------------------------
% 0.20/0.54 % (24288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (24288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (24288)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (24288)Memory used [KB]: 5373
% 0.20/0.54 % (24288)Time elapsed: 0.139 s
% 0.20/0.54 % (24288)Instructions burned: 2 (million)
% 0.20/0.54 % (24288)------------------------------
% 0.20/0.54 % (24288)------------------------------
% 0.20/0.54 % (24284)Success in time 0.183 s
%------------------------------------------------------------------------------