TSTP Solution File: GRP553-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP553-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Sun May 5 06:09:26 EDT 2024
% Result : Unsatisfiable 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 105 ( 105 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f679,plain,
$false,
inference(subsumption_resolution,[],[f678,f476]) ).
fof(f476,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[],[f345,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f345,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(superposition,[],[f282,f255]) ).
fof(f255,plain,
! [X2,X1] : multiply(divide(X1,X1),X2) = X2,
inference(forward_demodulation,[],[f231,f252]) ).
fof(f252,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f229,f202]) ).
fof(f202,plain,
! [X0,X1] : divide(X1,divide(X0,X0)) = X1,
inference(superposition,[],[f175,f4]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f175,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(superposition,[],[f122,f81]) ).
fof(f81,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f68,f2]) ).
fof(f68,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f63,f2]) ).
fof(f63,plain,
! [X2,X3,X4] : divide(divide(multiply(X2,X4),X3),divide(X2,X3)) = X4,
inference(forward_demodulation,[],[f52,f39]) ).
fof(f39,plain,
! [X2,X3,X1,X4] : divide(multiply(X2,X4),X3) = multiply(divide(multiply(X2,X1),X3),divide(X4,X1)),
inference(forward_demodulation,[],[f32,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : multiply(X0,divide(X1,divide(X0,divide(X2,X3)))) = divide(multiply(X2,X1),X3),
inference(superposition,[],[f4,f4]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X0,divide(X1,divide(X0,divide(X2,X3)))),divide(X4,X1)) = divide(multiply(X2,X4),X3),
inference(superposition,[],[f4,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[],[f4,f4]) ).
fof(f52,plain,
! [X2,X3,X1,X4] : divide(multiply(divide(multiply(X2,X1),X3),divide(X4,X1)),divide(X2,X3)) = X4,
inference(superposition,[],[f6,f7]) ).
fof(f122,plain,
! [X2,X3,X0] : divide(multiply(multiply(X0,divide(X2,X0)),X3),X2) = X3,
inference(forward_demodulation,[],[f116,f109]) ).
fof(f109,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,X1),X2) = divide(multiply(X0,X2),divide(X3,multiply(X3,X1))),
inference(superposition,[],[f92,f81]) ).
fof(f92,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(X0,divide(X2,X1)))) = X2,
inference(superposition,[],[f81,f6]) ).
fof(f116,plain,
! [X2,X3,X0,X1] : divide(divide(multiply(X0,X3),divide(X1,multiply(X1,divide(X2,X0)))),X2) = X3,
inference(superposition,[],[f63,f92]) ).
fof(f229,plain,
! [X2,X0,X1] : multiply(X0,divide(X1,divide(X0,divide(X2,X2)))) = X1,
inference(superposition,[],[f202,f4]) ).
fof(f231,plain,
! [X2,X0,X1] : multiply(multiply(X0,divide(divide(X1,X1),X0)),X2) = X2,
inference(superposition,[],[f202,f122]) ).
fof(f282,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[],[f115,f252]) ).
fof(f115,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(X1,divide(X2,X0))) = X0,
inference(superposition,[],[f4,f92]) ).
fof(f678,plain,
multiply(inverse(a1),a1) != divide(b1,b1),
inference(forward_demodulation,[],[f641,f452]) ).
fof(f452,plain,
! [X2,X1] : divide(X1,X2) = multiply(X1,inverse(X2)),
inference(forward_demodulation,[],[f432,f342]) ).
fof(f342,plain,
! [X2,X0,X1] : divide(X1,X2) = multiply(X0,divide(X1,multiply(X0,X2))),
inference(superposition,[],[f282,f10]) ).
fof(f10,plain,
! [X2,X0,X1] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[],[f8,f2]) ).
fof(f8,plain,
! [X2,X0,X1] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(superposition,[],[f4,f2]) ).
fof(f432,plain,
! [X2,X0,X1] : multiply(X0,divide(X1,multiply(X0,X2))) = multiply(X1,inverse(X2)),
inference(superposition,[],[f326,f5]) ).
fof(f5,plain,
! [X2,X0,X1] : divide(multiply(X0,divide(X2,multiply(X0,X1))),inverse(X1)) = X2,
inference(superposition,[],[f4,f2]) ).
fof(f326,plain,
! [X2,X1] : multiply(divide(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f325,f175]) ).
fof(f325,plain,
! [X2,X0,X1] : multiply(divide(X1,divide(multiply(X0,X2),X0)),X2) = X1,
inference(forward_demodulation,[],[f307,f218]) ).
fof(f218,plain,
! [X2,X0,X1] : multiply(divide(X0,X1),X2) = divide(multiply(X0,X2),X1),
inference(superposition,[],[f4,f175]) ).
fof(f307,plain,
! [X2,X0,X1] : multiply(divide(X1,multiply(divide(X0,X0),X2)),X2) = X1,
inference(superposition,[],[f10,f255]) ).
fof(f641,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(superposition,[],[f3,f362]) ).
fof(f362,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f252,f282]) ).
fof(f3,axiom,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP553-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n002.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:46:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (17850)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17853)WARNING: value z3 for option sas not known
% 0.15/0.38 % (17852)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (17851)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (17854)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (17853)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (17855)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (17856)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (17857)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 % (17857)First to succeed.
% 0.15/0.40 % (17857)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17850"
% 0.15/0.40 % (17857)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (17857)------------------------------
% 0.15/0.40 % (17857)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (17857)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (17857)Memory used [KB]: 1126
% 0.15/0.40 % (17857)Time elapsed: 0.023 s
% 0.15/0.40 % (17857)Instructions burned: 37 (million)
% 0.15/0.40 % (17850)Success in time 0.039 s
%------------------------------------------------------------------------------