TSTP Solution File: GRP070-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP070-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 05:53:16 EDT 2024
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 47 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 129 ( 129 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7210,plain,
$false,
inference(subsumption_resolution,[],[f7203,f3789]) ).
fof(f3789,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(multiply(X2,X1),X0),
inference(forward_demodulation,[],[f3744,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3744,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(divide(X2,inverse(X1)),X0),
inference(superposition,[],[f1780,f3628]) ).
fof(f3628,plain,
! [X0,X1] : inverse(X1) = divide(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f3596,f3603]) ).
fof(f3603,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f3556,f2441]) ).
fof(f2441,plain,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
inference(superposition,[],[f1859,f2270]) ).
fof(f2270,plain,
! [X2,X1] : divide(X2,multiply(inverse(X1),X1)) = X2,
inference(superposition,[],[f1859,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : divide(divide(X2,X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(forward_demodulation,[],[f1,f2]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f1859,plain,
! [X2,X3,X0] : divide(divide(X3,X3),divide(X2,multiply(X0,X2))) = X0,
inference(superposition,[],[f4,f1780]) ).
fof(f3556,plain,
! [X0,X1] : inverse(divide(divide(X1,X1),X0)) = X0,
inference(superposition,[],[f2672,f3007]) ).
fof(f3007,plain,
! [X2,X0] : multiply(X2,divide(X0,X0)) = X2,
inference(forward_demodulation,[],[f2924,f2295]) ).
fof(f2295,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f2250,f1859]) ).
fof(f2250,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X1,X1)) = divide(divide(X3,X3),divide(X2,multiply(X0,X2))),
inference(superposition,[],[f1859,f1789]) ).
fof(f1789,plain,
! [X2,X0,X1] : multiply(X2,X0) = multiply(divide(X2,divide(X1,X1)),X0),
inference(superposition,[],[f1780,f42]) ).
fof(f42,plain,
! [X4,X5] : divide(X4,X4) = divide(X5,X5),
inference(superposition,[],[f8,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : divide(X0,X0) = divide(divide(X4,X4),divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1))),
inference(superposition,[],[f4,f4]) ).
fof(f2924,plain,
! [X2,X0,X1] : divide(X2,divide(X1,X1)) = multiply(X2,divide(X0,X0)),
inference(superposition,[],[f2,f2540]) ).
fof(f2540,plain,
! [X2,X1] : divide(X2,X2) = inverse(divide(X1,X1)),
inference(superposition,[],[f2441,f235]) ).
fof(f235,plain,
! [X2,X0,X1] : divide(X0,X0) = divide(divide(X2,X2),divide(X1,X1)),
inference(superposition,[],[f4,f174]) ).
fof(f174,plain,
! [X2,X0,X1] : divide(X2,X2) = divide(X1,multiply(divide(X0,X0),X1)),
inference(superposition,[],[f73,f42]) ).
fof(f73,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(divide(X3,X3),divide(X1,multiply(divide(X2,X2),X0))),
inference(superposition,[],[f4,f42]) ).
fof(f2672,plain,
! [X2,X1] : inverse(divide(X1,multiply(X2,X1))) = X2,
inference(forward_demodulation,[],[f2531,f1780]) ).
fof(f2531,plain,
! [X2,X3,X1] : inverse(divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(superposition,[],[f2441,f4]) ).
fof(f3596,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(inverse(inverse(X1))),
inference(superposition,[],[f2736,f2672]) ).
fof(f2736,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f2735,f2295]) ).
fof(f2735,plain,
! [X2,X0] : divide(X2,divide(X0,X0)) = inverse(inverse(inverse(inverse(X2)))),
inference(forward_demodulation,[],[f2734,f2441]) ).
fof(f2734,plain,
! [X2,X3,X0] : divide(X2,divide(X0,X0)) = divide(divide(X3,X3),inverse(inverse(inverse(X2)))),
inference(forward_demodulation,[],[f2646,f2558]) ).
fof(f2558,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f2441,f2]) ).
fof(f2646,plain,
! [X2,X3,X0,X1] : divide(X2,divide(X0,X0)) = divide(divide(X3,X3),inverse(multiply(divide(X1,X1),X2))),
inference(superposition,[],[f73,f2441]) ).
fof(f1780,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(X1,X2)),X1) = multiply(X0,X2),
inference(forward_demodulation,[],[f1779,f2]) ).
fof(f1779,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(X1,X2)),X1) = divide(X0,inverse(X2)),
inference(forward_demodulation,[],[f1771,f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] : divide(X0,X1) = divide(multiply(inverse(X3),X3),divide(X1,multiply(divide(X2,X2),X0))),
inference(superposition,[],[f5,f42]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
inference(superposition,[],[f4,f2]) ).
fof(f1771,plain,
! [X2,X3,X0,X1,X4] : multiply(divide(X0,divide(X1,X2)),X1) = divide(multiply(inverse(X4),X4),divide(inverse(X2),multiply(divide(X3,X3),X0))),
inference(superposition,[],[f9,f1317]) ).
fof(f1317,plain,
! [X2,X3,X1,X4] : divide(X4,X4) = divide(multiply(divide(X2,divide(X3,X1)),X3),multiply(X2,X1)),
inference(superposition,[],[f171,f4]) ).
fof(f171,plain,
! [X2,X3,X1,X4] : divide(X4,X4) = divide(X3,multiply(divide(divide(X1,X1),divide(X2,X3)),X2)),
inference(superposition,[],[f73,f8]) ).
fof(f9,plain,
! [X2,X3,X0,X1] : divide(multiply(inverse(X2),X2),divide(inverse(X1),multiply(divide(X3,multiply(X0,X1)),X0))) = X3,
inference(superposition,[],[f5,f2]) ).
fof(f7203,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(unit_resulting_resolution,[],[f3174,f91,f3]) ).
fof(f3,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f91,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f56,f2]) ).
fof(f56,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(superposition,[],[f42,f2]) ).
fof(f3174,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(superposition,[],[f3140,f56]) ).
fof(f3140,plain,
! [X2,X0] : multiply(divide(X2,X2),X0) = X0,
inference(forward_demodulation,[],[f3063,f2295]) ).
fof(f3063,plain,
! [X2,X0,X1] : multiply(divide(X2,X2),X0) = divide(X0,divide(X1,X1)),
inference(superposition,[],[f3007,f1830]) ).
fof(f1830,plain,
! [X2,X0,X1] : multiply(divide(X0,X1),X1) = multiply(divide(X2,X2),X0),
inference(superposition,[],[f1780,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP070-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 20:44:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (18320)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (18323)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18323)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 % (18327)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 % (18322)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 % (18326)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 % (18325)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 % (18324)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (18321)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.21/0.51 TRYING [4]
% 0.21/0.52 % (18327)First to succeed.
% 0.21/0.52 % (18327)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18320"
% 0.21/0.52 % (18327)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (18327)------------------------------
% 0.21/0.52 % (18327)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.52 % (18327)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (18327)Memory used [KB]: 2804
% 0.21/0.52 % (18327)Time elapsed: 0.133 s
% 0.21/0.52 % (18327)Instructions burned: 288 (million)
% 0.21/0.52 % (18320)Success in time 0.148 s
%------------------------------------------------------------------------------