TSTP Solution File: TOP049-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP049-1 : 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 : n006.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 12:33:18 EDT 2024
% Result : Unsatisfiable 0.14s 0.34s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 88 unt; 0 def)
% Number of atoms : 88 ( 87 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 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 : 12 ( 12 usr; 10 con; 0-9 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1075,plain,
$false,
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1073,f514]) ).
fof(f514,plain,
a1 = a9,
inference(forward_demodulation,[],[f513,f4]) ).
fof(f4,axiom,
a1 = product(a9,a7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot) ).
fof(f513,plain,
a9 = product(a9,a7),
inference(forward_demodulation,[],[f490,f1]) ).
fof(f1,axiom,
! [X0] : product(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
fof(f490,plain,
product(a9,a7) = product(a9,a9),
inference(superposition,[],[f122,f470]) ).
fof(f470,plain,
a9 = a4,
inference(forward_demodulation,[],[f469,f443]) ).
fof(f443,plain,
a9 = a3,
inference(forward_demodulation,[],[f438,f317]) ).
fof(f317,plain,
a9 = product(product(a1,a4),a10),
inference(superposition,[],[f2,f305]) ).
fof(f305,plain,
product(a9,a10) = product(a1,a4),
inference(superposition,[],[f303,f118]) ).
fof(f118,plain,
product(a4,a9) = product(a9,a10),
inference(forward_demodulation,[],[f90,f11]) ).
fof(f11,axiom,
a10 = product(a8,a9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_09) ).
fof(f90,plain,
product(a9,product(a8,a9)) = product(a4,a9),
inference(superposition,[],[f27,f21]) ).
fof(f21,plain,
a4 = product(a9,a8),
inference(superposition,[],[f2,f13]) ).
fof(f13,axiom,
a9 = product(a4,a8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_11) ).
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/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
fof(f303,plain,
product(a4,a9) = product(a1,a4),
inference(forward_demodulation,[],[f299,f2]) ).
fof(f299,plain,
product(a4,product(product(a9,a4),a4)) = product(a1,a4),
inference(superposition,[],[f27,f298]) ).
fof(f298,plain,
a1 = product(a4,product(a9,a4)),
inference(superposition,[],[f2,f290]) ).
fof(f290,plain,
a4 = product(a1,product(a9,a4)),
inference(forward_demodulation,[],[f276,f122]) ).
fof(f276,plain,
a4 = product(a1,product(a4,a7)),
inference(superposition,[],[f31,f167]) ).
fof(f167,plain,
a4 = product(product(a9,a4),a7),
inference(superposition,[],[f2,f122]) ).
fof(f31,plain,
! [X0] : product(product(a9,X0),a7) = product(a1,product(X0,a7)),
inference(superposition,[],[f3,f4]) ).
fof(f2,axiom,
! [X0,X1] : product(product(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
fof(f438,plain,
a3 = product(product(a1,a4),a10),
inference(superposition,[],[f2,f423]) ).
fof(f423,plain,
product(a3,a10) = product(a1,a4),
inference(superposition,[],[f414,f120]) ).
fof(f120,plain,
product(a2,a3) = product(a3,a10),
inference(forward_demodulation,[],[f93,f23]) ).
fof(f23,plain,
a10 = product(a4,a3),
inference(superposition,[],[f2,f12]) ).
fof(f12,axiom,
a4 = product(a10,a3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_10) ).
fof(f93,plain,
product(a3,product(a4,a3)) = product(a2,a3),
inference(superposition,[],[f27,f6]) ).
fof(f6,axiom,
a2 = product(a3,a4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_04) ).
fof(f414,plain,
product(a2,a3) = product(a1,a4),
inference(forward_demodulation,[],[f404,f19]) ).
fof(f19,plain,
a3 = product(a2,a4),
inference(superposition,[],[f2,f6]) ).
fof(f404,plain,
product(a1,a4) = product(a2,product(a2,a4)),
inference(superposition,[],[f33,f16]) ).
fof(f16,plain,
a1 = product(a3,a2),
inference(superposition,[],[f2,f5]) ).
fof(f5,axiom,
a3 = product(a1,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_03) ).
fof(f33,plain,
! [X0] : product(product(a3,X0),a4) = product(a2,product(X0,a4)),
inference(superposition,[],[f3,f6]) ).
fof(f469,plain,
a3 = a4,
inference(forward_demodulation,[],[f462,f5]) ).
fof(f462,plain,
product(a1,a2) = a4,
inference(superposition,[],[f290,f444]) ).
fof(f444,plain,
a2 = product(a9,a4),
inference(superposition,[],[f6,f443]) ).
fof(f122,plain,
product(a4,a7) = product(a9,a4),
inference(forward_demodulation,[],[f97,f18]) ).
fof(f18,plain,
a7 = product(a8,a4),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
a8 = product(a7,a4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_08) ).
fof(f97,plain,
product(a4,product(a8,a4)) = product(a9,a4),
inference(superposition,[],[f27,f13]) ).
fof(f1073,plain,
tuple(a1,a1,a1,a1,a1,a9,a1,a1,a1) != tuple(a9,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1072,f505]) ).
fof(f505,plain,
a9 = a2,
inference(forward_demodulation,[],[f504,f1]) ).
fof(f504,plain,
a2 = product(a9,a9),
inference(forward_demodulation,[],[f475,f443]) ).
fof(f475,plain,
a2 = product(a3,a9),
inference(superposition,[],[f6,f470]) ).
fof(f1072,plain,
tuple(a1,a1,a1,a1,a1,a2,a1,a1,a1) != tuple(a2,a1,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1071,f514]) ).
fof(f1071,plain,
tuple(a1,a1,a1,a1,a1,a2,a1,a1,a1) != tuple(a2,a9,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1070,f509]) ).
fof(f509,plain,
a9 = a10,
inference(forward_demodulation,[],[f508,f1]) ).
fof(f508,plain,
a10 = product(a9,a9),
inference(forward_demodulation,[],[f483,f443]) ).
fof(f483,plain,
a10 = product(a9,a3),
inference(superposition,[],[f23,f470]) ).
fof(f1070,plain,
tuple(a1,a1,a1,a1,a1,a2,a1,a1,a1) != tuple(a2,a10,a1,a1,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1069,f706]) ).
fof(f706,plain,
a1 = a7,
inference(forward_demodulation,[],[f705,f1]) ).
fof(f705,plain,
a7 = product(a1,a1),
inference(forward_demodulation,[],[f704,f514]) ).
fof(f704,plain,
a7 = product(a1,a9),
inference(forward_demodulation,[],[f686,f470]) ).
fof(f686,plain,
a7 = product(a1,a4),
inference(superposition,[],[f18,f650]) ).
fof(f650,plain,
a1 = a8,
inference(forward_demodulation,[],[f649,f1]) ).
fof(f649,plain,
a8 = product(a1,a1),
inference(forward_demodulation,[],[f648,f514]) ).
fof(f648,plain,
a8 = product(a9,a1),
inference(forward_demodulation,[],[f622,f509]) ).
fof(f622,plain,
a8 = product(a10,a1),
inference(superposition,[],[f25,f514]) ).
fof(f25,plain,
a8 = product(a10,a9),
inference(superposition,[],[f2,f11]) ).
fof(f1069,plain,
tuple(a1,a1,a1,a1,a7,a2,a1,a1,a1) != tuple(a2,a10,a1,a7,a1,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1068,f650]) ).
fof(f1068,plain,
tuple(a1,a1,a8,a1,a7,a2,a1,a1,a1) != tuple(a2,a10,a1,a7,a8,a1,a1,a1,a1),
inference(forward_demodulation,[],[f1067,f514]) ).
fof(f1067,plain,
tuple(a1,a1,a8,a1,a7,a2,a9,a1,a1) != tuple(a2,a10,a1,a7,a8,a9,a1,a1,a1),
inference(forward_demodulation,[],[f1066,f443]) ).
fof(f1066,plain,
tuple(a1,a1,a8,a1,a7,a2,a3,a1,a1) != tuple(a2,a10,a1,a7,a8,a3,a1,a1,a1),
inference(forward_demodulation,[],[f1065,f514]) ).
fof(f1065,plain,
tuple(a1,a9,a8,a1,a7,a2,a3,a9,a1) != tuple(a2,a10,a9,a7,a8,a3,a9,a1,a1),
inference(forward_demodulation,[],[f1064,f470]) ).
fof(f1064,plain,
tuple(a1,a9,a8,a1,a7,a2,a3,a4,a1) != tuple(a2,a10,a9,a7,a8,a3,a4,a1,a1),
inference(forward_demodulation,[],[f1057,f681]) ).
fof(f681,plain,
a1 = a5,
inference(forward_demodulation,[],[f586,f514]) ).
fof(f586,plain,
a9 = a5,
inference(forward_demodulation,[],[f585,f1]) ).
fof(f585,plain,
a5 = product(a9,a9),
inference(forward_demodulation,[],[f569,f505]) ).
fof(f569,plain,
a5 = product(a2,a9),
inference(superposition,[],[f7,f509]) ).
fof(f7,axiom,
a5 = product(a2,a10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_05) ).
fof(f1057,plain,
tuple(a1,a9,a8,a1,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a3,a4,a5,a1),
inference(superposition,[],[f14,f758]) ).
fof(f758,plain,
a1 = a6,
inference(forward_demodulation,[],[f757,f650]) ).
fof(f757,plain,
a6 = a8,
inference(forward_demodulation,[],[f726,f24]) ).
fof(f24,plain,
a6 = product(a7,a1),
inference(superposition,[],[f2,f9]) ).
fof(f9,axiom,
a7 = product(a6,a1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knot_07) ).
fof(f726,plain,
a8 = product(a7,a1),
inference(superposition,[],[f10,f658]) ).
fof(f658,plain,
a1 = a4,
inference(forward_demodulation,[],[f657,f2]) ).
fof(f657,plain,
a4 = product(product(a1,a1),a1),
inference(forward_demodulation,[],[f656,f514]) ).
fof(f656,plain,
a4 = product(product(a1,a9),a1),
inference(forward_demodulation,[],[f627,f509]) ).
fof(f627,plain,
a4 = product(product(a1,a10),a1),
inference(superposition,[],[f147,f514]) ).
fof(f147,plain,
a4 = product(product(a9,a10),a9),
inference(superposition,[],[f2,f118]) ).
fof(f14,axiom,
tuple(a1,a9,a8,a6,a7,a2,a3,a4,a5) != tuple(a2,a10,a9,a7,a8,a3,a4,a5,a6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : TOP049-1 : TPTP v8.1.2. Released v8.1.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 18:53:08 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (16515)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (16518)WARNING: value z3 for option sas not known
% 0.14/0.32 % (16520)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)
% 0.14/0.32 % (16517)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (16519)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 % (16516)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 % (16522)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)
% 0.14/0.32 % (16521)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)
% 0.14/0.32 % (16518)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)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.34 % (16518)First to succeed.
% 0.14/0.34 % (16518)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16515"
% 0.14/0.34 % (16521)Also succeeded, but the first one will report.
% 0.14/0.34 % (16518)Refutation found. Thanks to Tanya!
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.34 % (16518)------------------------------
% 0.14/0.34 % (16518)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.34 % (16518)Termination reason: Refutation
% 0.14/0.34
% 0.14/0.34 % (16518)Memory used [KB]: 1150
% 0.14/0.34 % (16518)Time elapsed: 0.021 s
% 0.14/0.34 % (16518)Instructions burned: 42 (million)
% 0.14/0.34 % (16515)Success in time 0.034 s
%------------------------------------------------------------------------------