TSTP Solution File: BOO025-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO025-1 : 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 : n026.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 04:42:51 EDT 2024
% Result : Unsatisfiable 0.17s 0.44s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 7
% Syntax : Number of formulae : 91 ( 91 unt; 0 def)
% Number of atoms : 91 ( 90 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 148 ( 148 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2682,plain,
$false,
inference(trivial_inequality_removal,[],[f2681]) ).
fof(f2681,plain,
inverse(n1) != inverse(n1),
inference(superposition,[],[f2575,f2564]) ).
fof(f2564,plain,
! [X0] : inverse(n1) = multiply(X0,inverse(X0)),
inference(backward_demodulation,[],[f2186,f2483]) ).
fof(f2483,plain,
! [X0] : inverse(n1) = multiply(inverse(n1),X0),
inference(superposition,[],[f2478,f1963]) ).
fof(f1963,plain,
! [X0] : inverse(n1) = multiply(X0,inverse(n1)),
inference(forward_demodulation,[],[f1962,f10]) ).
fof(f10,plain,
! [X0] : inverse(X0) = multiply(n1,inverse(X0)),
inference(superposition,[],[f1,f3]) ).
fof(f3,axiom,
! [X0] : add(X0,inverse(X0)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse) ).
fof(f1,axiom,
! [X0,X1] : multiply(add(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add) ).
fof(f1962,plain,
! [X0] : multiply(n1,inverse(n1)) = multiply(X0,multiply(n1,inverse(n1))),
inference(forward_demodulation,[],[f1961,f1789]) ).
fof(f1789,plain,
! [X0] : multiply(X0,n1) = multiply(n1,X0),
inference(superposition,[],[f1712,f36]) ).
fof(f36,plain,
! [X0] : add(inverse(n1),multiply(X0,n1)) = X0,
inference(superposition,[],[f35,f10]) ).
fof(f35,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),multiply(X1,n1)) = X1,
inference(forward_demodulation,[],[f29,f5]) ).
fof(f5,axiom,
! [X0,X1] : pixley(X0,X0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley1) ).
fof(f29,plain,
! [X0,X1] : pixley(X0,X0,X1) = add(multiply(X0,inverse(X0)),multiply(X1,n1)),
inference(superposition,[],[f9,f3]) ).
fof(f9,plain,
! [X2,X0,X1] : pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),multiply(X2,add(X0,inverse(X1)))),
inference(backward_demodulation,[],[f4,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_add_property) ).
fof(f4,axiom,
! [X2,X0,X1] : pixley(X0,X1,X2) = add(multiply(X0,inverse(X1)),add(multiply(X0,X2),multiply(inverse(X1),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley_defn) ).
fof(f1712,plain,
! [X0] : multiply(n1,add(inverse(n1),X0)) = X0,
inference(forward_demodulation,[],[f1701,f36]) ).
fof(f1701,plain,
! [X0] : add(inverse(n1),multiply(X0,n1)) = multiply(n1,add(inverse(n1),X0)),
inference(superposition,[],[f2,f1665]) ).
fof(f1665,plain,
inverse(n1) = multiply(inverse(n1),n1),
inference(forward_demodulation,[],[f1655,f36]) ).
fof(f1655,plain,
multiply(inverse(n1),n1) = add(inverse(n1),multiply(inverse(n1),n1)),
inference(superposition,[],[f21,f1633]) ).
fof(f1633,plain,
! [X1] : multiply(inverse(X1),n1) = multiply(inverse(X1),inverse(X1)),
inference(superposition,[],[f1153,f35]) ).
fof(f1153,plain,
! [X2,X0] : multiply(inverse(X0),n1) = multiply(inverse(X0),add(X2,multiply(inverse(X0),n1))),
inference(forward_demodulation,[],[f1017,f991]) ).
fof(f991,plain,
! [X1] : n1 = add(X1,n1),
inference(superposition,[],[f982,f5]) ).
fof(f982,plain,
! [X0,X1] : n1 = pixley(X0,X0,add(X1,n1)),
inference(backward_demodulation,[],[f507,f979]) ).
fof(f979,plain,
! [X0] : n1 = add(multiply(X0,inverse(X0)),n1),
inference(forward_demodulation,[],[f965,f1]) ).
fof(f965,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),n1) = multiply(add(X1,n1),n1),
inference(superposition,[],[f459,f35]) ).
fof(f459,plain,
! [X0,X1] : add(X1,n1) = multiply(add(X0,n1),add(X1,multiply(n1,n1))),
inference(backward_demodulation,[],[f241,f432]) ).
fof(f432,plain,
! [X2,X1] : add(X1,n1) = multiply(add(X2,n1),add(X1,n1)),
inference(superposition,[],[f194,f45]) ).
fof(f45,plain,
! [X0,X1] : add(X1,n1) = add(X0,n1),
inference(superposition,[],[f41,f41]) ).
fof(f41,plain,
! [X0] : add(X0,n1) = add(inverse(n1),n1),
inference(superposition,[],[f36,f1]) ).
fof(f194,plain,
! [X2,X0,X1] : add(multiply(X0,X2),X2) = multiply(add(X1,X2),add(multiply(X0,X2),X2)),
inference(forward_demodulation,[],[f178,f13]) ).
fof(f13,plain,
! [X2,X0,X1] : multiply(X1,add(X2,add(X0,X1))) = add(multiply(X2,X1),X1),
inference(superposition,[],[f2,f1]) ).
fof(f178,plain,
! [X2,X0,X1] : multiply(X2,add(X0,add(X1,X2))) = multiply(add(X1,X2),multiply(X2,add(X0,add(X1,X2)))),
inference(superposition,[],[f15,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : multiply(X2,X1) = multiply(multiply(X1,add(X0,X2)),multiply(X2,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f241,plain,
! [X0,X1] : multiply(add(X0,n1),add(X1,n1)) = multiply(add(X0,n1),add(X1,multiply(n1,n1))),
inference(forward_demodulation,[],[f234,f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : multiply(add(X1,n1),add(X3,X0)) = add(multiply(X3,add(X1,n1)),multiply(X0,add(X2,n1))),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
! [X2,X0,X1] : multiply(X0,add(X1,n1)) = multiply(X0,add(X2,n1)),
inference(superposition,[],[f60,f60]) ).
fof(f60,plain,
! [X2,X1] : add(X1,multiply(n1,X1)) = multiply(X1,add(X2,n1)),
inference(superposition,[],[f11,f45]) ).
fof(f11,plain,
! [X2,X0,X1] : multiply(X1,add(add(X0,X1),X2)) = add(X1,multiply(X2,X1)),
inference(superposition,[],[f2,f1]) ).
fof(f234,plain,
! [X0,X1] : multiply(add(X0,n1),add(X1,multiply(n1,n1))) = add(multiply(X1,add(X0,n1)),multiply(n1,add(n1,n1))),
inference(superposition,[],[f2,f81]) ).
fof(f81,plain,
! [X0] : multiply(multiply(n1,n1),add(X0,n1)) = multiply(n1,add(n1,n1)),
inference(forward_demodulation,[],[f71,f2]) ).
fof(f71,plain,
! [X0] : multiply(multiply(n1,n1),add(X0,n1)) = add(multiply(n1,n1),multiply(n1,n1)),
inference(superposition,[],[f60,f40]) ).
fof(f40,plain,
! [X1] : multiply(X1,n1) = multiply(X1,multiply(X1,n1)),
inference(superposition,[],[f1,f35]) ).
fof(f507,plain,
! [X0,X1] : add(multiply(X0,inverse(X0)),n1) = pixley(X0,X0,add(X1,n1)),
inference(superposition,[],[f30,f3]) ).
fof(f30,plain,
! [X2,X0,X1] : pixley(X1,X2,add(X0,add(X1,inverse(X2)))) = add(multiply(X1,inverse(X2)),add(X1,inverse(X2))),
inference(superposition,[],[f9,f1]) ).
fof(f1017,plain,
! [X2,X0] : multiply(inverse(X0),add(X2,n1)) = multiply(inverse(X0),add(X2,multiply(inverse(X0),n1))),
inference(backward_demodulation,[],[f145,f991]) ).
fof(f145,plain,
! [X2,X0,X1] : multiply(inverse(X0),add(X2,n1)) = multiply(inverse(X0),add(X2,multiply(inverse(X0),add(X1,n1)))),
inference(forward_demodulation,[],[f139,f14]) ).
fof(f14,plain,
! [X0,X1] : multiply(inverse(X0),add(X1,n1)) = add(multiply(X1,inverse(X0)),inverse(X0)),
inference(superposition,[],[f2,f10]) ).
fof(f139,plain,
! [X2,X0,X1] : add(multiply(X2,inverse(X0)),inverse(X0)) = multiply(inverse(X0),add(X2,multiply(inverse(X0),add(X1,n1)))),
inference(superposition,[],[f13,f68]) ).
fof(f68,plain,
! [X0,X1] : multiply(inverse(X0),add(X1,n1)) = add(inverse(X0),inverse(X0)),
inference(superposition,[],[f60,f10]) ).
fof(f21,plain,
! [X0] : multiply(inverse(X0),n1) = add(inverse(X0),multiply(inverse(n1),inverse(X0))),
inference(superposition,[],[f18,f3]) ).
fof(f18,plain,
! [X0,X1] : add(X1,multiply(inverse(add(X0,X1)),X1)) = multiply(X1,n1),
inference(superposition,[],[f11,f3]) ).
fof(f1961,plain,
! [X0] : multiply(inverse(n1),n1) = multiply(X0,multiply(inverse(n1),n1)),
inference(forward_demodulation,[],[f1944,f991]) ).
fof(f1944,plain,
! [X0] : multiply(inverse(n1),add(X0,n1)) = multiply(X0,multiply(inverse(n1),add(X0,n1))),
inference(superposition,[],[f288,f1820]) ).
fof(f1820,plain,
n1 = inverse(inverse(n1)),
inference(forward_demodulation,[],[f1796,f1179]) ).
fof(f1179,plain,
n1 = multiply(n1,n1),
inference(forward_demodulation,[],[f1178,f991]) ).
fof(f1178,plain,
! [X2] : n1 = multiply(n1,add(X2,n1)),
inference(forward_demodulation,[],[f1177,f1]) ).
fof(f1177,plain,
! [X2,X3] : multiply(n1,add(X2,n1)) = multiply(add(X3,n1),n1),
inference(forward_demodulation,[],[f1050,f991]) ).
fof(f1050,plain,
! [X2,X3,X4] : multiply(n1,add(X2,n1)) = multiply(add(X3,n1),add(X4,n1)),
inference(backward_demodulation,[],[f536,f991]) ).
fof(f536,plain,
! [X2,X3,X1,X4] : multiply(add(X1,n1),add(X2,n1)) = multiply(add(X3,n1),add(X4,n1)),
inference(superposition,[],[f521,f521]) ).
fof(f521,plain,
! [X2,X0,X1] : add(X1,n1) = multiply(add(X0,n1),add(X2,n1)),
inference(superposition,[],[f432,f72]) ).
fof(f1796,plain,
multiply(n1,n1) = inverse(inverse(n1)),
inference(superposition,[],[f1712,f3]) ).
fof(f288,plain,
! [X0,X1] : multiply(X1,add(X0,inverse(X1))) = multiply(X0,multiply(X1,add(X0,inverse(X1)))),
inference(superposition,[],[f34,f6]) ).
fof(f6,axiom,
! [X0,X1] : pixley(X0,X1,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pixley2) ).
fof(f34,plain,
! [X2,X0,X1] : multiply(X2,add(X0,inverse(X1))) = multiply(pixley(X0,X1,X2),multiply(X2,add(X0,inverse(X1)))),
inference(superposition,[],[f1,f9]) ).
fof(f2478,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X0,X1),
inference(forward_demodulation,[],[f2463,f2424]) ).
fof(f2424,plain,
! [X0] : add(X0,X0) = X0,
inference(backward_demodulation,[],[f2211,f2423]) ).
fof(f2423,plain,
! [X0] : multiply(X0,add(X0,X0)) = X0,
inference(forward_demodulation,[],[f2398,f1830]) ).
fof(f1830,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f1829,f1712]) ).
fof(f1829,plain,
! [X0] : multiply(multiply(n1,add(inverse(n1),X0)),X0) = X0,
inference(forward_demodulation,[],[f1803,f1789]) ).
fof(f1803,plain,
! [X0] : multiply(multiply(add(inverse(n1),X0),n1),X0) = X0,
inference(superposition,[],[f1214,f1712]) ).
fof(f1214,plain,
! [X3] : multiply(n1,X3) = multiply(multiply(X3,n1),multiply(n1,X3)),
inference(forward_demodulation,[],[f1213,f1179]) ).
fof(f1213,plain,
! [X3] : multiply(n1,X3) = multiply(multiply(X3,multiply(n1,n1)),multiply(n1,X3)),
inference(forward_demodulation,[],[f1062,f991]) ).
fof(f1062,plain,
! [X2,X3] : multiply(n1,X3) = multiply(multiply(X3,multiply(n1,add(X2,n1))),multiply(n1,X3)),
inference(backward_demodulation,[],[f566,f991]) ).
fof(f566,plain,
! [X2,X3,X1] : multiply(n1,X3) = multiply(multiply(X3,multiply(add(X1,n1),add(X2,n1))),multiply(n1,X3)),
inference(superposition,[],[f15,f521]) ).
fof(f2398,plain,
! [X0] : multiply(X0,X0) = multiply(X0,add(X0,X0)),
inference(superposition,[],[f2014,f1921]) ).
fof(f1921,plain,
! [X0] : add(add(inverse(n1),X0),X0) = X0,
inference(forward_demodulation,[],[f1920,f1712]) ).
fof(f1920,plain,
! [X0] : multiply(n1,add(inverse(n1),X0)) = add(add(inverse(n1),X0),X0),
inference(forward_demodulation,[],[f1804,f1789]) ).
fof(f1804,plain,
! [X0] : multiply(add(inverse(n1),X0),n1) = add(add(inverse(n1),X0),X0),
inference(superposition,[],[f1000,f1712]) ).
fof(f1000,plain,
! [X1] : multiply(X1,n1) = add(X1,multiply(n1,X1)),
inference(backward_demodulation,[],[f60,f991]) ).
fof(f2014,plain,
! [X2,X0,X1] : multiply(X1,add(add(X0,X1),X2)) = multiply(X1,add(X1,X2)),
inference(backward_demodulation,[],[f11,f1972]) ).
fof(f1972,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f2,f1830]) ).
fof(f2211,plain,
! [X0] : add(X0,X0) = multiply(X0,add(X0,X0)),
inference(superposition,[],[f417,f1921]) ).
fof(f417,plain,
! [X2,X1] : add(X1,X1) = multiply(add(X2,X1),add(X1,X1)),
inference(superposition,[],[f194,f1]) ).
fof(f2463,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,add(X0,X0)),
inference(superposition,[],[f2424,f2]) ).
fof(f2186,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(inverse(n1),multiply(X0,inverse(X0))),
inference(superposition,[],[f288,f2035]) ).
fof(f2035,plain,
! [X0] : inverse(X0) = add(inverse(n1),inverse(X0)),
inference(superposition,[],[f36,f1833]) ).
fof(f1833,plain,
! [X1] : inverse(X1) = multiply(inverse(X1),n1),
inference(backward_demodulation,[],[f1633,f1830]) ).
fof(f2575,plain,
multiply(a,inverse(a)) != inverse(n1),
inference(backward_demodulation,[],[f8,f2564]) ).
fof(f8,axiom,
multiply(b,inverse(b)) != multiply(a,inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equal_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : BOO025-1 : TPTP v8.1.2. Released v2.2.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n026.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri May 3 18:45:23 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (31425)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (31428)WARNING: value z3 for option sas not known
% 0.11/0.34 % (31426)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (31430)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)
% 0.11/0.35 % (31431)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)
% 0.11/0.35 % (31429)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (31427)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (31428)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 % (31432)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)
% 0.11/0.35 TRYING [3]
% 0.11/0.36 TRYING [4]
% 0.11/0.39 TRYING [4]
% 0.11/0.40 TRYING [5]
% 0.17/0.44 % (31431)First to succeed.
% 0.17/0.44 % (31431)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31425"
% 0.17/0.44 % (31431)Refutation found. Thanks to Tanya!
% 0.17/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.45 % (31431)------------------------------
% 0.17/0.45 % (31431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.45 % (31431)Termination reason: Refutation
% 0.17/0.45
% 0.17/0.45 % (31431)Memory used [KB]: 1838
% 0.17/0.45 % (31431)Time elapsed: 0.099 s
% 0.17/0.45 % (31431)Instructions burned: 189 (million)
% 0.17/0.45 % (31425)Success in time 0.111 s
%------------------------------------------------------------------------------