TSTP Solution File: GRP559-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP559-1 : 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 : n005.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 : Tue Apr 30 12:07:33 EDT 2024
% Result : Unsatisfiable 2.66s 0.73s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 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 : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18469,plain,
$false,
inference(trivial_inequality_removal,[],[f18468]) ).
fof(f18468,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(forward_demodulation,[],[f18087,f196]) ).
fof(f196,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[],[f58,f169]) ).
fof(f169,plain,
! [X2,X1] : divide(multiply(X1,X2),X2) = X1,
inference(forward_demodulation,[],[f168,f130]) ).
fof(f130,plain,
! [X0,X1] : inverse(divide(divide(X0,X0),X1)) = X1,
inference(superposition,[],[f97,f46]) ).
fof(f46,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(superposition,[],[f19,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(superposition,[],[f1,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f19,plain,
! [X2,X3,X0,X1] : multiply(X3,divide(X1,multiply(X3,divide(divide(X1,X2),divide(X0,X2))))) = X0,
inference(forward_demodulation,[],[f15,f2]) ).
fof(f15,plain,
! [X2,X3,X0,X1] : multiply(X3,divide(X1,divide(X3,inverse(divide(divide(X1,X2),divide(X0,X2)))))) = X0,
inference(superposition,[],[f8,f1]) ).
fof(f97,plain,
! [X0,X1] : multiply(inverse(divide(X1,X0)),X1) = X0,
inference(superposition,[],[f58,f63]) ).
fof(f63,plain,
! [X2,X0] : divide(X0,inverse(divide(X2,X0))) = X2,
inference(forward_demodulation,[],[f59,f46]) ).
fof(f59,plain,
! [X2,X0,X1] : divide(X0,inverse(divide(multiply(X2,divide(X1,X1)),X0))) = X2,
inference(superposition,[],[f10,f46]) ).
fof(f10,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(multiply(X0,X1),multiply(X2,X1)))) = X0,
inference(forward_demodulation,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] : divide(X2,inverse(divide(multiply(X0,X1),divide(X2,inverse(X1))))) = X0,
inference(superposition,[],[f1,f2]) ).
fof(f168,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),inverse(divide(divide(X0,X0),X2))) = X1,
inference(forward_demodulation,[],[f147,f129]) ).
fof(f129,plain,
! [X0,X1] : inverse(divide(X1,X0)) = multiply(inverse(X1),X0),
inference(superposition,[],[f97,f63]) ).
fof(f147,plain,
! [X2,X0,X1] : divide(multiply(X1,X2),multiply(inverse(divide(X0,X0)),X2)) = X1,
inference(superposition,[],[f107,f18]) ).
fof(f18,plain,
! [X2,X0,X1] : multiply(X2,divide(multiply(X0,X1),multiply(X2,X1))) = X0,
inference(forward_demodulation,[],[f14,f2]) ).
fof(f14,plain,
! [X2,X0,X1] : multiply(X2,divide(multiply(X0,X1),divide(X2,inverse(X1)))) = X0,
inference(superposition,[],[f8,f2]) ).
fof(f107,plain,
! [X0,X1] : multiply(inverse(divide(X1,X1)),X0) = X0,
inference(superposition,[],[f67,f46]) ).
fof(f67,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X0,X1)) = X0,
inference(superposition,[],[f58,f2]) ).
fof(f58,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(superposition,[],[f19,f46]) ).
fof(f18087,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(c3,b3)),
inference(superposition,[],[f274,f11636]) ).
fof(f11636,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[],[f11486,f2]) ).
fof(f11486,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,X0)) = multiply(X1,divide(X2,inverse(X0))),
inference(superposition,[],[f10145,f67]) ).
fof(f10145,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X0,X1),divide(X2,X0)),
inference(forward_demodulation,[],[f10052,f2]) ).
fof(f10052,plain,
! [X2,X0,X1] : divide(X2,inverse(X1)) = multiply(multiply(X0,X1),divide(X2,X0)),
inference(superposition,[],[f9268,f2]) ).
fof(f9268,plain,
! [X2,X0,X1] : divide(X2,X1) = multiply(divide(X0,X1),divide(X2,X0)),
inference(superposition,[],[f19,f70]) ).
fof(f70,plain,
! [X2,X0,X1] : multiply(divide(X0,X1),divide(X2,divide(X2,X1))) = X0,
inference(superposition,[],[f19,f58]) ).
fof(f274,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(superposition,[],[f3,f196]) ).
fof(f3,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
% 0.05/0.10 % Problem : GRP559-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 04:28:26 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (26751)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (26754)WARNING: value z3 for option sas not known
% 0.11/0.34 % (26756)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)
% 0.11/0.34 % (26755)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (26753)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (26754)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)
% 0.11/0.34 % (26757)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)
% 0.11/0.34 % (26752)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (26758)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [4]
% 0.11/0.34 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.11/0.36 TRYING [5]
% 0.17/0.50 TRYING [6]
% 1.59/0.63 TRYING [5]
% 2.66/0.71 TRYING [7]
% 2.66/0.73 % (26758)First to succeed.
% 2.66/0.73 % (26758)Refutation found. Thanks to Tanya!
% 2.66/0.73 % SZS status Unsatisfiable for theBenchmark
% 2.66/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/0.73 % (26758)------------------------------
% 2.66/0.73 % (26758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.66/0.73 % (26758)Termination reason: Refutation
% 2.66/0.73
% 2.66/0.73 % (26758)Memory used [KB]: 7231
% 2.66/0.73 % (26758)Time elapsed: 0.392 s
% 2.66/0.73 % (26758)Instructions burned: 845 (million)
% 2.66/0.73 % (26758)------------------------------
% 2.66/0.73 % (26758)------------------------------
% 2.66/0.73 % (26751)Success in time 0.393 s
%------------------------------------------------------------------------------