TSTP Solution File: GRP200-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP200-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 11:52:09 EDT 2024
% Result : Unsatisfiable 77.23s 11.39s
% Output : Refutation 77.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f714819,plain,
$false,
inference(trivial_inequality_removal,[],[f714538]) ).
fof(f714538,plain,
multiply(a,multiply(b,multiply(c,b))) != multiply(a,multiply(b,multiply(c,b))),
inference(superposition,[],[f10,f500654]) ).
fof(f500654,plain,
! [X2,X0,X1] : multiply(multiply(multiply(X0,X1),X2),X1) = multiply(X0,multiply(X1,multiply(X2,X1))),
inference(forward_demodulation,[],[f500653,f16474]) ).
fof(f16474,plain,
! [X0,X1] : multiply(X0,X1) = left_division(right_inverse(X0),X1),
inference(superposition,[],[f16398,f3]) ).
fof(f3,axiom,
! [X0,X1] : multiply(X0,left_division(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_left_division) ).
fof(f16398,plain,
! [X0,X1] : multiply(X0,multiply(right_inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f16289,f6]) ).
fof(f6,axiom,
! [X0,X1] : right_division(multiply(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_division_multiply) ).
fof(f16289,plain,
! [X0,X1] : right_division(multiply(X1,X0),X0) = multiply(X0,multiply(right_inverse(X0),X1)),
inference(superposition,[],[f123,f16144]) ).
fof(f16144,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,multiply(multiply(right_inverse(X0),X1),X0)),
inference(forward_demodulation,[],[f16067,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f16067,plain,
! [X0,X1] : multiply(X0,multiply(multiply(right_inverse(X0),X1),X0)) = multiply(identity,multiply(X1,X0)),
inference(superposition,[],[f7806,f4]) ).
fof(f4,axiom,
! [X0,X1] : left_division(X0,multiply(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_division_multiply) ).
fof(f7806,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(identity,multiply(left_division(right_inverse(X0),X1),X0)),
inference(forward_demodulation,[],[f7669,f99]) ).
fof(f99,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = multiply(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f86,f2]) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f86,plain,
! [X0,X1] : multiply(multiply(X1,X0),X1) = multiply(multiply(X1,identity),multiply(X0,X1)),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,X2)),X0) = multiply(multiply(X0,X1),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang1) ).
fof(f7669,plain,
! [X0,X1] : multiply(multiply(X0,X1),X0) = multiply(identity,multiply(left_division(right_inverse(X0),X1),X0)),
inference(superposition,[],[f85,f7]) ).
fof(f7,axiom,
! [X0] : identity = multiply(X0,right_inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f85,plain,
! [X2,X0,X1] : multiply(multiply(X2,X0),multiply(left_division(X0,X1),X2)) = multiply(multiply(X2,X1),X2),
inference(superposition,[],[f9,f3]) ).
fof(f123,plain,
! [X0,X1] : multiply(X0,X1) = right_division(multiply(X0,multiply(X1,X0)),X0),
inference(superposition,[],[f6,f99]) ).
fof(f500653,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,X1))) = multiply(multiply(left_division(right_inverse(X0),X1),X2),X1),
inference(forward_demodulation,[],[f499522,f18465]) ).
fof(f18465,plain,
! [X2,X0,X1] : multiply(left_division(X0,X1),X2) = left_division(left_division(X1,X0),X2),
inference(superposition,[],[f16474,f17543]) ).
fof(f17543,plain,
! [X0,X1] : left_division(X0,X1) = right_inverse(left_division(X1,X0)),
inference(forward_demodulation,[],[f17542,f16489]) ).
fof(f16489,plain,
! [X0,X1] : left_division(X0,X1) = multiply(right_inverse(X0),X1),
inference(superposition,[],[f4,f16398]) ).
fof(f17542,plain,
! [X0,X1] : multiply(right_inverse(X0),X1) = right_inverse(left_division(X1,X0)),
inference(forward_demodulation,[],[f17067,f4735]) ).
fof(f4735,plain,
! [X0,X1] : right_inverse(left_division(X0,X1)) = right_division(left_division(X1,multiply(X0,X0)),X0),
inference(superposition,[],[f6,f3917]) ).
fof(f3917,plain,
! [X0,X1] : multiply(right_inverse(left_division(X1,X0)),X1) = left_division(X0,multiply(X1,X1)),
inference(superposition,[],[f4,f1202]) ).
fof(f1202,plain,
! [X0,X1] : multiply(X0,X0) = multiply(X1,multiply(right_inverse(left_division(X0,X1)),X0)),
inference(superposition,[],[f98,f3]) ).
fof(f98,plain,
! [X0,X1] : multiply(multiply(X1,X0),multiply(right_inverse(X0),X1)) = multiply(X1,X1),
inference(forward_demodulation,[],[f84,f2]) ).
fof(f84,plain,
! [X0,X1] : multiply(multiply(X1,X0),multiply(right_inverse(X0),X1)) = multiply(multiply(X1,identity),X1),
inference(superposition,[],[f9,f7]) ).
fof(f17067,plain,
! [X0,X1] : multiply(right_inverse(X0),X1) = right_division(left_division(X0,multiply(X1,X1)),X1),
inference(superposition,[],[f706,f16489]) ).
fof(f706,plain,
! [X0,X1] : multiply(X0,X1) = right_division(multiply(X0,multiply(X1,X1)),X1),
inference(superposition,[],[f6,f285]) ).
fof(f285,plain,
! [X0,X1] : multiply(multiply(X1,X0),X0) = multiply(X1,multiply(X0,X0)),
inference(forward_demodulation,[],[f274,f3]) ).
fof(f274,plain,
! [X0,X1] : multiply(multiply(X0,left_division(X0,X1)),multiply(X0,X0)) = multiply(multiply(X1,X0),X0),
inference(superposition,[],[f9,f113]) ).
fof(f113,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,multiply(left_division(X0,X1),X0)),
inference(superposition,[],[f99,f3]) ).
fof(f499522,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(X2,X1))) = multiply(left_division(left_division(X1,right_inverse(X0)),X2),X1),
inference(superposition,[],[f16398,f7801]) ).
fof(f7801,plain,
! [X2,X0,X1] : multiply(X1,multiply(left_division(left_division(X0,X1),X2),X0)) = multiply(X0,multiply(X2,X0)),
inference(forward_demodulation,[],[f7666,f99]) ).
fof(f7666,plain,
! [X2,X0,X1] : multiply(multiply(X0,X2),X0) = multiply(X1,multiply(left_division(left_division(X0,X1),X2),X0)),
inference(superposition,[],[f85,f3]) ).
fof(f10,axiom,
multiply(multiply(multiply(a,b),c),b) != multiply(a,multiply(b,multiply(c,b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP200-1 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 04:05:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (11749)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (11754)WARNING: value z3 for option sas not known
% 0.14/0.38 % (11755)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (11751)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (11756)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)
% 0.14/0.38 % (11754)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)
% 0.14/0.38 % (11758)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)
% 0.14/0.38 % (11757)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)
% 0.14/0.38 % (11753)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.39 TRYING [3]
% 0.14/0.40 TRYING [5]
% 0.14/0.41 TRYING [4]
% 0.22/0.43 TRYING [6]
% 0.22/0.49 TRYING [5]
% 0.22/0.51 TRYING [7]
% 2.10/0.64 TRYING [8]
% 2.60/0.71 TRYING [6]
% 5.18/1.12 TRYING [9]
% 7.90/1.48 TRYING [1]
% 7.90/1.48 TRYING [2]
% 7.90/1.48 TRYING [3]
% 7.90/1.48 TRYING [4]
% 7.90/1.49 TRYING [5]
% 7.90/1.53 TRYING [6]
% 8.77/1.62 TRYING [7]
% 10.30/1.86 TRYING [8]
% 10.81/1.96 TRYING [7]
% 17.11/2.86 TRYING [9]
% 20.74/3.31 TRYING [10]
% 43.14/6.51 TRYING [10]
% 58.36/8.70 TRYING [8]
% 77.23/11.37 % (11758)First to succeed.
% 77.23/11.39 % (11758)Refutation found. Thanks to Tanya!
% 77.23/11.39 % SZS status Unsatisfiable for theBenchmark
% 77.23/11.39 % SZS output start Proof for theBenchmark
% See solution above
% 77.23/11.39 % (11758)------------------------------
% 77.23/11.39 % (11758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 77.23/11.39 % (11758)Termination reason: Refutation
% 77.23/11.39
% 77.23/11.39 % (11758)Memory used [KB]: 201089
% 77.23/11.39 % (11758)Time elapsed: 10.999 s
% 77.23/11.39 % (11758)Instructions burned: 35048 (million)
% 77.23/11.39 % (11758)------------------------------
% 77.23/11.39 % (11758)------------------------------
% 77.23/11.39 % (11749)Success in time 10.958 s
%------------------------------------------------------------------------------