TSTP Solution File: GRP555-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP555-1 : 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 : n018.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 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4649,plain,
$false,
inference(trivial_inequality_removal,[],[f4620]) ).
fof(f4620,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f3,f1041]) ).
fof(f1041,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X1) = multiply(X0,multiply(X2,X1)),
inference(backward_demodulation,[],[f154,f1040]) ).
fof(f1040,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f1010,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f1010,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,divide(X2,inverse(X1))),
inference(superposition,[],[f188,f366]) ).
fof(f366,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(superposition,[],[f277,f2]) ).
fof(f277,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(superposition,[],[f137,f157]) ).
fof(f157,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(superposition,[],[f93,f137]) ).
fof(f93,plain,
! [X2,X0,X1] : divide(X1,divide(X0,multiply(X0,divide(X2,X1)))) = X2,
inference(superposition,[],[f82,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(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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f82,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(forward_demodulation,[],[f69,f2]) ).
fof(f69,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2))) = X1,
inference(superposition,[],[f64,f2]) ).
fof(f64,plain,
! [X2,X3,X4] : divide(divide(multiply(X2,X4),X3),divide(X2,X3)) = X4,
inference(forward_demodulation,[],[f53,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(f53,plain,
! [X2,X3,X1,X4] : divide(multiply(divide(multiply(X2,X1),X3),divide(X4,X1)),divide(X2,X3)) = X4,
inference(superposition,[],[f6,f7]) ).
fof(f137,plain,
! [X2,X1] : multiply(X1,divide(X2,X1)) = X2,
inference(superposition,[],[f12,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(f12,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
inference(superposition,[],[f10,f10]) ).
fof(f188,plain,
! [X2,X3,X1] : multiply(X2,X3) = multiply(multiply(X2,X1),divide(X3,X1)),
inference(forward_demodulation,[],[f187,f186]) ).
fof(f186,plain,
! [X2,X1,X4] : multiply(X2,X1) = divide(multiply(multiply(X4,X2),X1),X4),
inference(forward_demodulation,[],[f168,f151]) ).
fof(f151,plain,
! [X2,X0,X1] : multiply(X0,divide(X1,divide(X0,X2))) = multiply(X2,X1),
inference(superposition,[],[f137,f4]) ).
fof(f168,plain,
! [X2,X3,X1,X4] : multiply(X2,X1) = divide(multiply(multiply(X3,divide(X2,divide(X3,X4))),X1),X4),
inference(backward_demodulation,[],[f27,f151]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,divide(X1,divide(X0,X2))) = divide(multiply(multiply(X3,divide(X2,divide(X3,X4))),X1),X4),
inference(superposition,[],[f6,f4]) ).
fof(f187,plain,
! [X2,X3,X1,X5] : multiply(multiply(X2,X1),divide(X3,X1)) = divide(multiply(multiply(X5,X2),X3),X5),
inference(forward_demodulation,[],[f169,f151]) ).
fof(f169,plain,
! [X2,X3,X1,X4,X5] : divide(multiply(multiply(X4,divide(X2,divide(X4,X5))),X3),X5) = multiply(multiply(X2,X1),divide(X3,X1)),
inference(backward_demodulation,[],[f29,f151]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,divide(X1,divide(X0,X2))),divide(X3,X1)) = divide(multiply(multiply(X4,divide(X2,divide(X4,X5))),X3),X5),
inference(superposition,[],[f6,f6]) ).
fof(f154,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[],[f137,f82]) ).
fof(f3,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP555-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 20:51:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (14615)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (14617)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (14618)WARNING: value z3 for option sas not known
% 0.15/0.37 % (14616)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (14619)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (14618)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)
% 0.15/0.37 % (14620)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)
% 0.15/0.37 % (14621)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)
% 0.15/0.37 % (14622)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.51 % (14621)First to succeed.
% 0.21/0.51 % (14621)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14615"
% 0.21/0.51 % (14621)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (14621)------------------------------
% 0.21/0.51 % (14621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.51 % (14621)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (14621)Memory used [KB]: 2449
% 0.21/0.51 % (14621)Time elapsed: 0.142 s
% 0.21/0.51 % (14621)Instructions burned: 238 (million)
% 0.21/0.51 % (14615)Success in time 0.15 s
%------------------------------------------------------------------------------