TSTP Solution File: BOO070-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO070-1 : 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 : n016.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 04:42:57 EDT 2024
% Result : Unsatisfiable 2.15s 0.62s
% Output : Refutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 2
% Syntax : Number of formulae : 37 ( 37 unt; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 133 ( 133 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7834,plain,
$false,
inference(trivial_inequality_removal,[],[f7833]) ).
fof(f7833,plain,
a != a,
inference(superposition,[],[f2,f7190]) ).
fof(f7190,plain,
! [X0,X1] : multiply(X1,X1,X0) = X1,
inference(superposition,[],[f6964,f3609]) ).
fof(f3609,plain,
! [X2,X0,X1] : multiply(X0,X1,X2) = multiply(X2,X1,X0),
inference(superposition,[],[f2314,f1472]) ).
fof(f1472,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = X1,
inference(forward_demodulation,[],[f1442,f1415]) ).
fof(f1415,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1414,f603]) ).
fof(f603,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2) = X1,
inference(superposition,[],[f589,f26]) ).
fof(f26,plain,
! [X0,X1,X7] : multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X7)),X7),X0) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f3,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X1,multiply(X3,inverse(multiply(X0,X1,X2)),X2),X0) = multiply(multiply(X0,X1,X3),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)),
inference(superposition,[],[f1,f1]) ).
fof(f589,plain,
! [X2,X0] : multiply(inverse(X0),X2,X0) = X2,
inference(forward_demodulation,[],[f529,f520]) ).
fof(f520,plain,
! [X10,X0,X8,X9,X7] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,inverse(X0),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(forward_demodulation,[],[f482,f1]) ).
fof(f482,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,multiply(multiply(X1,inverse(X1),inverse(X0)),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(superposition,[],[f6,f6]) ).
fof(f6,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X7,inverse(X7),X8),inverse(multiply(multiply(X9,X10,multiply(X3,multiply(X6,X5,X4),X2)),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X9,X10,multiply(X0,inverse(X0),X1)))),multiply(X10,X1,X9)) = X8,
inference(superposition,[],[f1,f1]) ).
fof(f529,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X0),X2,X0) = multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5))),multiply(inverse(X3),X5,X3)),
inference(superposition,[],[f520,f520]) ).
fof(f1414,plain,
! [X3,X0,X1] : inverse(inverse(X0)) = multiply(X0,inverse(multiply(X1,inverse(X1),X3)),X3),
inference(forward_demodulation,[],[f1367,f686]) ).
fof(f686,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X1,inverse(X1),X0)),
inference(superposition,[],[f603,f589]) ).
fof(f1367,plain,
! [X2,X3,X0,X1] : inverse(inverse(X0)) = multiply(X0,inverse(multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X1,inverse(X1),X2)),multiply(X1,inverse(X1),X3))),X3),
inference(superposition,[],[f43,f840]) ).
fof(f840,plain,
! [X0,X1] : multiply(X1,inverse(X0),inverse(inverse(X0))) = X1,
inference(forward_demodulation,[],[f836,f759]) ).
fof(f759,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(X0))),
inference(superposition,[],[f685,f589]) ).
fof(f685,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0))),X0) = X1,
inference(superposition,[],[f603,f589]) ).
fof(f836,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0))),inverse(inverse(X0))) = X1,
inference(superposition,[],[f685,f759]) ).
fof(f43,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X3,inverse(X3),X4),inverse(multiply(multiply(X0,inverse(X0),X2),inverse(multiply(X0,inverse(X0),X2)),multiply(X0,inverse(X0),X1))),X1) = X4,
inference(superposition,[],[f1,f26]) ).
fof(f1442,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = inverse(inverse(X1)),
inference(superposition,[],[f1415,f686]) ).
fof(f2314,plain,
! [X3,X1,X4,X5] : multiply(X3,inverse(multiply(X1,X4,X5)),multiply(X5,X4,X1)) = X3,
inference(forward_demodulation,[],[f2313,f1472]) ).
fof(f2313,plain,
! [X2,X3,X1,X4,X5] : multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X1,X4,X5)),multiply(X5,X4,X1)) = X3,
inference(forward_demodulation,[],[f2312,f1472]) ).
fof(f2312,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X1,X4,multiply(X0,inverse(X0),X5))),multiply(X5,X4,X1)) = X3,
inference(forward_demodulation,[],[f2206,f589]) ).
fof(f2206,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X1,X4,multiply(X0,inverse(X0),X5))),multiply(inverse(X0),multiply(X5,X4,X1),X0)) = X3,
inference(superposition,[],[f1,f1472]) ).
fof(f6964,plain,
! [X0,X1] : multiply(X0,X1,X1) = X1,
inference(forward_demodulation,[],[f6963,f817]) ).
fof(f817,plain,
! [X0,X1] : multiply(X1,inverse(X0),X0) = X1,
inference(superposition,[],[f685,f759]) ).
fof(f6963,plain,
! [X0,X1] : multiply(X1,inverse(X0),X0) = multiply(X0,X1,X1),
inference(forward_demodulation,[],[f6811,f603]) ).
fof(f6811,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),inverse(X0),X0) = multiply(X0,multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X1),
inference(superposition,[],[f6563,f26]) ).
fof(f6563,plain,
! [X2,X3,X1] : multiply(X2,X3,X1) = multiply(X1,X2,multiply(X3,X2,X1)),
inference(forward_demodulation,[],[f6562,f589]) ).
fof(f6562,plain,
! [X2,X3,X0,X1] : multiply(X2,X3,X1) = multiply(X1,X2,multiply(inverse(X0),multiply(X3,X2,X1),X0)),
inference(forward_demodulation,[],[f6334,f1472]) ).
fof(f6334,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),X2,multiply(inverse(X0),multiply(X3,X2,X1),X0)) = multiply(X2,X3,multiply(X0,inverse(X0),X1)),
inference(superposition,[],[f3909,f6]) ).
fof(f3909,plain,
! [X2,X3,X0,X1] : multiply(multiply(X3,X2,X1),inverse(multiply(X1,X2,X3)),X0) = X0,
inference(superposition,[],[f3609,f2314]) ).
fof(f2,axiom,
a != multiply(a,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_tba_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : BOO070-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n016.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 18:47:37 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.15/0.30 % (27067)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (27070)WARNING: value z3 for option sas not known
% 0.15/0.32 % (27069)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32 % (27068)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32 % (27070)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)
% 0.15/0.32 % (27071)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32 % (27073)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)
% 0.15/0.32 % (27072)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)
% 0.15/0.32 % (27074)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.35 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.55 TRYING [5]
% 2.15/0.61 % (27070)First to succeed.
% 2.15/0.61 % (27070)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27067"
% 2.15/0.62 % (27070)Refutation found. Thanks to Tanya!
% 2.15/0.62 % SZS status Unsatisfiable for theBenchmark
% 2.15/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.15/0.62 % (27070)------------------------------
% 2.15/0.62 % (27070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.15/0.62 % (27070)Termination reason: Refutation
% 2.15/0.62
% 2.15/0.62 % (27070)Memory used [KB]: 6205
% 2.15/0.62 % (27070)Time elapsed: 0.296 s
% 2.15/0.62 % (27070)Instructions burned: 793 (million)
% 2.15/0.62 % (27067)Success in time 0.297 s
%------------------------------------------------------------------------------