TSTP Solution File: GRP547-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP547-1 : 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 : n021.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 1.67s 0.59s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 28 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f142,plain,
$false,
inference(trivial_inequality_removal,[],[f141]) ).
fof(f141,plain,
divide(a3,divide(divide(identity,b3),c3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(backward_demodulation,[],[f115,f137]) ).
fof(f137,plain,
! [X6,X7,X5] : divide(divide(X5,X7),X6) = divide(divide(X5,X6),X7),
inference(superposition,[],[f32,f84]) ).
fof(f84,plain,
! [X2,X0,X1] : divide(divide(X1,X0),divide(divide(X1,X2),X0)) = X2,
inference(backward_demodulation,[],[f1,f83]) ).
fof(f83,plain,
! [X3,X4] : divide(X4,X3) = divide(identity,divide(X3,X4)),
inference(forward_demodulation,[],[f76,f14]) ).
fof(f14,plain,
! [X4] : divide(X4,identity) = X4,
inference(backward_demodulation,[],[f12,f13]) ).
fof(f13,plain,
! [X0,X1] : divide(identity,divide(divide(X0,X1),X0)) = X1,
inference(forward_demodulation,[],[f7,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f7,plain,
! [X0,X1] : divide(divide(identity,identity),divide(divide(X0,X1),X0)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f12,plain,
! [X3,X4] : divide(divide(identity,divide(divide(X3,X4),X3)),identity) = X4,
inference(superposition,[],[f1,f4]) ).
fof(f76,plain,
! [X3,X4] : divide(identity,divide(divide(X3,identity),X4)) = divide(X4,X3),
inference(superposition,[],[f15,f14]) ).
fof(f15,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(X1,X2),X0)),X2),
inference(forward_demodulation,[],[f11,f14]) ).
fof(f11,plain,
! [X2,X0,X1] : divide(X0,X1) = divide(divide(identity,divide(divide(divide(X1,X2),X0),identity)),X2),
inference(superposition,[],[f1,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(identity,divide(X0,X1)),divide(divide(X1,X2),X0)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f32,plain,
! [X4,X5] : divide(X4,divide(X4,X5)) = X5,
inference(backward_demodulation,[],[f18,f31]) ).
fof(f31,plain,
! [X1] : divide(identity,divide(identity,X1)) = X1,
inference(backward_demodulation,[],[f13,f29]) ).
fof(f29,plain,
! [X6,X5] : divide(identity,X6) = divide(divide(X5,X6),X5),
inference(forward_demodulation,[],[f22,f14]) ).
fof(f22,plain,
! [X6,X5] : divide(divide(X5,X6),X5) = divide(identity,divide(X6,identity)),
inference(superposition,[],[f13,f13]) ).
fof(f18,plain,
! [X4,X5] : divide(divide(identity,divide(identity,X4)),divide(X4,X5)) = X5,
inference(superposition,[],[f1,f14]) ).
fof(f115,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(a3,divide(divide(identity,b3),c3)),
inference(backward_demodulation,[],[f93,f114]) ).
fof(f114,plain,
! [X10,X8,X9] : divide(divide(X10,X9),divide(identity,X8)) = divide(X10,divide(X9,X8)),
inference(forward_demodulation,[],[f113,f83]) ).
fof(f113,plain,
! [X10,X8,X9] : divide(divide(identity,divide(X9,X10)),divide(identity,X8)) = divide(X10,divide(X9,X8)),
inference(forward_demodulation,[],[f68,f83]) ).
fof(f68,plain,
! [X10,X8,X9] : divide(divide(identity,divide(X9,X10)),divide(identity,X8)) = divide(X10,divide(identity,divide(X8,X9))),
inference(superposition,[],[f15,f9]) ).
fof(f9,plain,
! [X0,X1] : divide(divide(identity,divide(X1,X0)),divide(identity,X1)) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f93,plain,
divide(a3,divide(divide(identity,c3),b3)) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(backward_demodulation,[],[f6,f83]) ).
fof(f6,plain,
divide(a3,divide(identity,divide(b3,divide(identity,c3)))) != divide(divide(a3,divide(identity,b3)),divide(identity,c3)),
inference(definition_unfolding,[],[f5,f2,f2,f2,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP547-1 : 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 : n021.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 22:29:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55 % (2158)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)
% 0.20/0.55 % (2184)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 0.20/0.56 % (2176)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (2168)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 % (2161)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)
% 0.20/0.57 % (2175)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.20/0.57 TRYING [4]
% 0.20/0.57 % (2168)First to succeed.
% 0.20/0.57 TRYING [2]
% 0.20/0.57 % (2159)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)
% 0.20/0.57 % (2166)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.57 TRYING [3]
% 0.20/0.57 % (2174)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)
% 0.20/0.58 TRYING [4]
% 1.67/0.58 % (2163)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)
% 1.67/0.58 % (2181)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)
% 1.67/0.58 % (2166)Instruction limit reached!
% 1.67/0.58 % (2166)------------------------------
% 1.67/0.58 % (2166)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 % (2166)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.58 % (2166)Termination reason: Unknown
% 1.67/0.58 % (2166)Termination phase: Saturation
% 1.67/0.58
% 1.67/0.58 % (2166)Memory used [KB]: 5373
% 1.67/0.58 % (2166)Time elapsed: 0.162 s
% 1.67/0.58 % (2166)Instructions burned: 2 (million)
% 1.67/0.58 % (2166)------------------------------
% 1.67/0.58 % (2166)------------------------------
% 1.67/0.58 % (2165)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.67/0.58 % (2162)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.67/0.58 % (2182)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)
% 1.67/0.59 % (2187)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 1.67/0.59 % (2168)Refutation found. Thanks to Tanya!
% 1.67/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.59 % (2168)------------------------------
% 1.67/0.59 % (2168)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (2168)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (2168)Termination reason: Refutation
% 1.67/0.59
% 1.67/0.59 % (2168)Memory used [KB]: 5500
% 1.67/0.59 % (2168)Time elapsed: 0.161 s
% 1.67/0.59 % (2168)Instructions burned: 9 (million)
% 1.67/0.59 % (2168)------------------------------
% 1.67/0.59 % (2168)------------------------------
% 1.67/0.59 % (2157)Success in time 0.235 s
%------------------------------------------------------------------------------