TSTP Solution File: TOP051-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 18:25:52 EDT 2024
% Result : Unsatisfiable 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 14
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 11 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-10 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1351,plain,
$false,
inference(trivial_inequality_removal,[],[f1350]) ).
fof(f1350,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1349,f756]) ).
fof(f756,plain,
a1 = a2,
inference(forward_demodulation,[],[f728,f1]) ).
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f728,plain,
a2 = product(a1,a1),
inference(superposition,[],[f4,f727]) ).
fof(f727,plain,
a1 = a6,
inference(forward_demodulation,[],[f721,f211]) ).
fof(f211,plain,
a1 = product(a4,product(a2,a1)),
inference(superposition,[],[f2,f147]) ).
fof(f147,plain,
a4 = product(a1,product(a2,a1)),
inference(forward_demodulation,[],[f143,f6]) ).
fof(f6,axiom,
product(a3,a1) = a4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_04) ).
fof(f143,plain,
product(a3,a1) = product(a1,product(a2,a1)),
inference(superposition,[],[f27,f122]) ).
fof(f122,plain,
a3 = product(a1,a2),
inference(forward_demodulation,[],[f121,f5]) ).
fof(f5,axiom,
product(a2,a7) = a3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_03) ).
fof(f121,plain,
product(a2,a7) = product(a1,a2),
inference(forward_demodulation,[],[f91,f9]) ).
fof(f9,axiom,
a7 = product(a6,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_07) ).
fof(f91,plain,
product(a2,product(a6,a2)) = product(a1,a2),
inference(superposition,[],[f27,f16]) ).
fof(f16,plain,
a1 = product(a2,a6),
inference(superposition,[],[f2,f4]) ).
fof(f27,plain,
! [X0,X1] : product(product(X0,X1),X0) = product(X0,product(X1,X0)),
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : product(product(X0,X1),X2) = product(product(X0,X2),product(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f721,plain,
a6 = product(a4,product(a2,a1)),
inference(superposition,[],[f2,f712]) ).
fof(f712,plain,
a4 = product(a6,product(a2,a1)),
inference(forward_demodulation,[],[f711,f499]) ).
fof(f499,plain,
a4 = product(product(a2,a1),a9),
inference(superposition,[],[f2,f485]) ).
fof(f485,plain,
product(a2,a1) = product(a4,a9),
inference(forward_demodulation,[],[f470,f449]) ).
fof(f449,plain,
a9 = product(a7,a1),
inference(forward_demodulation,[],[f443,f120]) ).
fof(f120,plain,
a1 = product(a3,a2),
inference(forward_demodulation,[],[f119,f16]) ).
fof(f119,plain,
product(a2,a6) = product(a3,a2),
inference(forward_demodulation,[],[f90,f17]) ).
fof(f17,plain,
a6 = product(a7,a2),
inference(superposition,[],[f2,f9]) ).
fof(f90,plain,
product(a2,product(a7,a2)) = product(a3,a2),
inference(superposition,[],[f27,f5]) ).
fof(f443,plain,
a9 = product(a7,product(a3,a2)),
inference(superposition,[],[f433,f31]) ).
fof(f31,plain,
! [X0] : product(product(a6,X0),a2) = product(a7,product(X0,a2)),
inference(superposition,[],[f3,f9]) ).
fof(f433,plain,
a9 = product(product(a6,a3),a2),
inference(superposition,[],[f307,f432]) ).
fof(f432,plain,
product(a7,a8) = product(a6,a3),
inference(superposition,[],[f2,f428]) ).
fof(f428,plain,
a7 = product(product(a6,a3),a8),
inference(forward_demodulation,[],[f427,f19]) ).
fof(f19,plain,
a7 = product(a8,a3),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_08) ).
fof(f427,plain,
product(a8,a3) = product(product(a6,a3),a8),
inference(forward_demodulation,[],[f423,f357]) ).
fof(f357,plain,
a3 = product(product(a1,a7),a8),
inference(superposition,[],[f2,f348]) ).
fof(f348,plain,
product(a3,a8) = product(a1,a7),
inference(forward_demodulation,[],[f340,f126]) ).
fof(f126,plain,
a8 = product(a6,a7),
inference(forward_demodulation,[],[f125,f10]) ).
fof(f125,plain,
product(a7,a3) = product(a6,a7),
inference(forward_demodulation,[],[f93,f5]) ).
fof(f93,plain,
product(a7,product(a2,a7)) = product(a6,a7),
inference(superposition,[],[f27,f17]) ).
fof(f340,plain,
product(a3,product(a6,a7)) = product(a1,a7),
inference(superposition,[],[f32,f16]) ).
fof(f32,plain,
! [X0] : product(product(a2,X0),a7) = product(a3,product(X0,a7)),
inference(superposition,[],[f3,f5]) ).
fof(f423,plain,
product(a8,product(product(a1,a7),a8)) = product(product(a6,a3),a8),
inference(superposition,[],[f27,f415]) ).
fof(f415,plain,
product(a6,a3) = product(a8,product(a1,a7)),
inference(forward_demodulation,[],[f406,f352]) ).
fof(f352,plain,
product(a2,a3) = product(a1,a7),
inference(superposition,[],[f348,f127]) ).
fof(f127,plain,
product(a2,a3) = product(a3,a8),
inference(forward_demodulation,[],[f95,f10]) ).
fof(f95,plain,
product(a3,product(a7,a3)) = product(a2,a3),
inference(superposition,[],[f27,f18]) ).
fof(f18,plain,
a2 = product(a3,a7),
inference(superposition,[],[f2,f5]) ).
fof(f406,plain,
product(a8,product(a2,a3)) = product(a6,a3),
inference(superposition,[],[f34,f17]) ).
fof(f34,plain,
! [X0] : product(product(a7,X0),a3) = product(a8,product(X0,a3)),
inference(superposition,[],[f3,f10]) ).
fof(f307,plain,
a9 = product(product(a7,a8),a2),
inference(superposition,[],[f2,f282]) ).
fof(f282,plain,
product(a7,a8) = product(a9,a2),
inference(forward_demodulation,[],[f281,f10]) ).
fof(f281,plain,
product(a9,a2) = product(a7,product(a7,a3)),
inference(forward_demodulation,[],[f280,f122]) ).
fof(f280,plain,
product(a9,a2) = product(a7,product(a7,product(a1,a2))),
inference(forward_demodulation,[],[f275,f31]) ).
fof(f275,plain,
product(a9,a2) = product(a7,product(product(a6,a1),a2)),
inference(superposition,[],[f31,f215]) ).
fof(f215,plain,
a9 = product(a6,product(a6,a1)),
inference(forward_demodulation,[],[f156,f117]) ).
fof(f117,plain,
product(a6,a1) = product(a7,a6),
inference(forward_demodulation,[],[f88,f16]) ).
fof(f88,plain,
product(a6,product(a2,a6)) = product(a7,a6),
inference(superposition,[],[f27,f9]) ).
fof(f156,plain,
a9 = product(a6,product(a7,a6)),
inference(forward_demodulation,[],[f152,f11]) ).
fof(f11,axiom,
a9 = product(a8,a6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_09) ).
fof(f152,plain,
product(a8,a6) = product(a6,product(a7,a6)),
inference(superposition,[],[f27,f126]) ).
fof(f470,plain,
product(a2,a1) = product(a4,product(a7,a1)),
inference(superposition,[],[f35,f18]) ).
fof(f35,plain,
! [X0] : product(product(a3,X0),a1) = product(a4,product(X0,a1)),
inference(superposition,[],[f3,f6]) ).
fof(f711,plain,
product(a6,product(a2,a1)) = product(product(a2,a1),a9),
inference(forward_demodulation,[],[f693,f485]) ).
fof(f693,plain,
product(product(a4,a9),a9) = product(a6,product(a4,a9)),
inference(superposition,[],[f38,f128]) ).
fof(f128,plain,
product(a5,a4) = product(a4,a9),
inference(forward_demodulation,[],[f96,f24]) ).
fof(f24,plain,
a9 = product(a10,a4),
inference(superposition,[],[f2,f12]) ).
fof(f12,axiom,
a10 = product(a9,a4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_10) ).
fof(f96,plain,
product(a4,product(a10,a4)) = product(a5,a4),
inference(superposition,[],[f27,f7]) ).
fof(f7,axiom,
product(a4,a10) = a5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_05) ).
fof(f38,plain,
! [X0] : product(product(a5,X0),a9) = product(a6,product(X0,a9)),
inference(superposition,[],[f3,f8]) ).
fof(f8,axiom,
a6 = product(a5,a9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_06) ).
fof(f4,axiom,
product(a1,a6) = a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot) ).
fof(f1349,plain,
tuple(a1,a1,a1,a2,a1,a1,a1,a1,a1,a1) != tuple(a2,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1348,f727]) ).
fof(f1348,plain,
tuple(a1,a6,a1,a2,a1,a1,a1,a1,a1,a1) != tuple(a2,a1,a6,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1347,f1002]) ).
fof(f1002,plain,
a1 = a3,
inference(forward_demodulation,[],[f767,f756]) ).
fof(f767,plain,
a2 = a3,
inference(forward_demodulation,[],[f746,f2]) ).
fof(f746,plain,
a3 = product(product(a2,a1),a1),
inference(superposition,[],[f239,f727]) ).
fof(f239,plain,
a3 = product(product(a2,a1),a6),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
product(a2,a1) = product(a3,a6),
inference(forward_demodulation,[],[f181,f16]) ).
fof(f181,plain,
product(a2,product(a2,a6)) = product(a3,a6),
inference(superposition,[],[f30,f122]) ).
fof(f30,plain,
! [X0] : product(product(a1,X0),a6) = product(a2,product(X0,a6)),
inference(superposition,[],[f3,f4]) ).
fof(f1347,plain,
tuple(a1,a6,a1,a2,a1,a3,a1,a1,a1,a1) != tuple(a2,a1,a6,a3,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1346,f763]) ).
fof(f763,plain,
a1 = a7,
inference(forward_demodulation,[],[f742,f2]) ).
fof(f742,plain,
a7 = product(product(a1,a1),a1),
inference(superposition,[],[f168,f727]) ).
fof(f168,plain,
a7 = product(product(a6,a1),a6),
inference(superposition,[],[f2,f117]) ).
fof(f1346,plain,
tuple(a1,a6,a1,a2,a7,a3,a1,a1,a1,a7) != tuple(a2,a7,a6,a3,a7,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1345,f757]) ).
fof(f757,plain,
a7 = a8,
inference(forward_demodulation,[],[f734,f455]) ).
fof(f455,plain,
a7 = product(a9,a1),
inference(superposition,[],[f2,f449]) ).
fof(f734,plain,
a8 = product(a9,a1),
inference(superposition,[],[f25,f727]) ).
fof(f25,plain,
a8 = product(a9,a6),
inference(superposition,[],[f2,f11]) ).
fof(f1345,plain,
tuple(a1,a6,a1,a2,a7,a3,a1,a1,a1,a8) != tuple(a2,a7,a6,a3,a8,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1344,f813]) ).
fof(f813,plain,
a1 = a4,
inference(forward_demodulation,[],[f812,f1]) ).
fof(f812,plain,
a4 = product(a1,a1),
inference(forward_demodulation,[],[f783,f1]) ).
fof(f783,plain,
a4 = product(a1,product(a1,a1)),
inference(superposition,[],[f147,f756]) ).
fof(f1344,plain,
tuple(a1,a6,a1,a2,a7,a3,a4,a1,a1,a8) != tuple(a2,a7,a6,a3,a8,a4,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1343,f836]) ).
fof(f836,plain,
a1 = a5,
inference(forward_demodulation,[],[f835,f1]) ).
fof(f835,plain,
a5 = product(a1,a1),
inference(forward_demodulation,[],[f799,f1]) ).
fof(f799,plain,
a5 = product(a1,product(a1,a1)),
inference(superposition,[],[f526,f756]) ).
fof(f526,plain,
a5 = product(a2,product(a2,a1)),
inference(superposition,[],[f2,f512]) ).
fof(f512,plain,
a2 = product(a5,product(a2,a1)),
inference(forward_demodulation,[],[f511,f2]) ).
fof(f511,plain,
product(product(a2,a1),a1) = product(a5,product(a2,a1)),
inference(forward_demodulation,[],[f507,f211]) ).
fof(f507,plain,
product(product(a2,a1),product(a4,product(a2,a1))) = product(a5,product(a2,a1)),
inference(superposition,[],[f27,f501]) ).
fof(f501,plain,
a5 = product(product(a2,a1),a4),
inference(forward_demodulation,[],[f500,f7]) ).
fof(f500,plain,
product(a4,a10) = product(product(a2,a1),a4),
inference(forward_demodulation,[],[f496,f12]) ).
fof(f496,plain,
product(a4,product(a9,a4)) = product(product(a2,a1),a4),
inference(superposition,[],[f27,f485]) ).
fof(f1343,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a1,a1,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a1,a1,a1),
inference(forward_demodulation,[],[f1342,f1103]) ).
fof(f1103,plain,
a1 = a10,
inference(forward_demodulation,[],[f1102,f763]) ).
fof(f1102,plain,
a7 = a10,
inference(forward_demodulation,[],[f1083,f455]) ).
fof(f1083,plain,
a10 = product(a9,a1),
inference(superposition,[],[f12,f813]) ).
fof(f1342,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a1,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a1,a1),
inference(forward_demodulation,[],[f1333,f762]) ).
fof(f762,plain,
a1 = a9,
inference(forward_demodulation,[],[f761,f1]) ).
fof(f761,plain,
a9 = product(a1,a1),
inference(forward_demodulation,[],[f739,f449]) ).
fof(f739,plain,
product(a1,a1) = product(a7,a1),
inference(superposition,[],[f117,f727]) ).
fof(f1333,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a1,a9),
inference(superposition,[],[f14,f1299]) ).
fof(f1299,plain,
a1 = a11,
inference(forward_demodulation,[],[f1298,f1]) ).
fof(f1298,plain,
a11 = product(a1,a1),
inference(forward_demodulation,[],[f1283,f836]) ).
fof(f1283,plain,
a11 = product(a1,a5),
inference(superposition,[],[f13,f1103]) ).
fof(f13,axiom,
product(a10,a5) = a11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knot_11) ).
fof(f14,axiom,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : TOP051-1 : TPTP v8.1.2. Released v8.1.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 01:58:11 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (13548)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (13551)WARNING: value z3 for option sas not known
% 0.13/0.36 % (13553)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)
% 0.13/0.36 % (13550)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (13555)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)
% 0.13/0.36 % (13554)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)
% 0.13/0.36 % (13552)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (13551)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)
% 0.13/0.36 TRYING [1]
% 0.13/0.36 % (13549)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.36 TRYING [2]
% 0.13/0.36 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.39 % (13551)First to succeed.
% 0.13/0.39 % (13551)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (13551)------------------------------
% 0.13/0.39 % (13551)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.39 % (13551)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (13551)Memory used [KB]: 1250
% 0.13/0.39 % (13551)Time elapsed: 0.029 s
% 0.13/0.39 % (13551)Instructions burned: 59 (million)
% 0.13/0.39 % (13551)------------------------------
% 0.13/0.39 % (13551)------------------------------
% 0.13/0.39 % (13548)Success in time 0.045 s
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