TSTP Solution File: BOO012-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n024.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 : Wed Aug 31 15:49:23 EDT 2022
% Result : Unsatisfiable 1.59s 0.56s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1681,plain,
$false,
inference(trivial_inequality_removal,[],[f1680]) ).
fof(f1680,plain,
x != x,
inference(backward_demodulation,[],[f15,f1673]) ).
fof(f1673,plain,
! [X13] : inverse(inverse(X13)) = X13,
inference(forward_demodulation,[],[f1672,f13]) ).
fof(f13,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id1) ).
fof(f1672,plain,
! [X13] : inverse(inverse(X13)) = add(X13,additive_identity),
inference(forward_demodulation,[],[f1671,f379]) ).
fof(f379,plain,
! [X8] : add(X8,inverse(inverse(X8))) = inverse(inverse(X8)),
inference(forward_demodulation,[],[f378,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id2) ).
fof(f378,plain,
! [X8] : add(X8,inverse(inverse(X8))) = add(additive_identity,inverse(inverse(X8))),
inference(forward_demodulation,[],[f366,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f366,plain,
! [X8] : add(X8,inverse(inverse(X8))) = add(inverse(inverse(X8)),additive_identity),
inference(superposition,[],[f68,f9]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f68,plain,
! [X2,X3] : add(inverse(X2),multiply(X3,X2)) = add(X3,inverse(X2)),
inference(forward_demodulation,[],[f67,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f67,plain,
! [X2,X3] : add(inverse(X2),multiply(X3,X2)) = multiply(add(X3,inverse(X2)),multiplicative_identity),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
! [X2,X3] : multiply(add(X3,inverse(X2)),multiplicative_identity) = add(multiply(X3,X2),inverse(X2)),
inference(superposition,[],[f3,f16]) ).
fof(f16,plain,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
inference(forward_demodulation,[],[f8,f1]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f1671,plain,
! [X13] : add(X13,additive_identity) = add(X13,inverse(inverse(X13))),
inference(forward_demodulation,[],[f1622,f1]) ).
fof(f1622,plain,
! [X13] : add(X13,additive_identity) = add(inverse(inverse(X13)),X13),
inference(superposition,[],[f757,f9]) ).
fof(f757,plain,
! [X3,X4] : add(X4,X3) = add(X3,multiply(inverse(X3),X4)),
inference(forward_demodulation,[],[f756,f13]) ).
fof(f756,plain,
! [X3,X4] : add(add(X3,additive_identity),multiply(inverse(X3),X4)) = add(X4,add(X3,additive_identity)),
inference(forward_demodulation,[],[f736,f1]) ).
fof(f736,plain,
! [X3,X4] : add(X4,add(X3,additive_identity)) = add(multiply(inverse(X3),X4),add(X3,additive_identity)),
inference(backward_demodulation,[],[f335,f723]) ).
fof(f723,plain,
additive_identity = multiply(additive_identity,additive_identity),
inference(forward_demodulation,[],[f722,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f722,plain,
multiply(multiplicative_identity,additive_identity) = multiply(additive_identity,additive_identity),
inference(forward_demodulation,[],[f700,f11]) ).
fof(f700,plain,
multiply(multiplicative_identity,additive_identity) = multiply(multiply(additive_identity,additive_identity),multiplicative_identity),
inference(superposition,[],[f245,f11]) ).
fof(f245,plain,
! [X0] : multiply(multiply(additive_identity,additive_identity),multiply(X0,X0)) = multiply(X0,additive_identity),
inference(forward_demodulation,[],[f244,f14]) ).
fof(f244,plain,
! [X0] : multiply(multiply(additive_identity,additive_identity),multiply(X0,X0)) = add(additive_identity,multiply(X0,additive_identity)),
inference(forward_demodulation,[],[f243,f1]) ).
fof(f243,plain,
! [X0] : multiply(multiply(additive_identity,additive_identity),multiply(X0,X0)) = add(multiply(X0,additive_identity),additive_identity),
inference(forward_demodulation,[],[f242,f58]) ).
fof(f58,plain,
! [X10,X11] : multiply(X10,add(X11,X10)) = add(multiply(X11,additive_identity),X10),
inference(forward_demodulation,[],[f51,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f51,plain,
! [X10,X11] : multiply(add(X11,X10),X10) = add(multiply(X11,additive_identity),X10),
inference(superposition,[],[f3,f14]) ).
fof(f242,plain,
! [X0] : multiply(additive_identity,add(X0,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X0,X0)),
inference(forward_demodulation,[],[f241,f2]) ).
fof(f241,plain,
! [X0] : multiply(multiply(additive_identity,additive_identity),multiply(X0,X0)) = multiply(add(X0,additive_identity),additive_identity),
inference(forward_demodulation,[],[f233,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f233,plain,
! [X0] : multiply(multiply(additive_identity,additive_identity),multiply(X0,X0)) = add(multiply(X0,additive_identity),multiply(additive_identity,additive_identity)),
inference(superposition,[],[f58,f205]) ).
fof(f205,plain,
! [X7] : multiply(X7,X7) = add(X7,multiply(additive_identity,additive_identity)),
inference(superposition,[],[f1,f171]) ).
fof(f171,plain,
! [X15] : add(multiply(additive_identity,additive_identity),X15) = multiply(X15,X15),
inference(superposition,[],[f58,f14]) ).
fof(f335,plain,
! [X3,X4] : add(multiply(inverse(X3),X4),add(X3,multiply(additive_identity,additive_identity))) = add(X4,add(X3,multiply(additive_identity,additive_identity))),
inference(forward_demodulation,[],[f332,f12]) ).
fof(f332,plain,
! [X3,X4] : add(multiply(inverse(X3),X4),add(X3,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(X4,add(X3,multiply(additive_identity,additive_identity)))),
inference(superposition,[],[f3,f302]) ).
fof(f302,plain,
! [X0] : multiplicative_identity = add(inverse(X0),add(X0,multiply(additive_identity,additive_identity))),
inference(forward_demodulation,[],[f274,f16]) ).
fof(f274,plain,
! [X0] : add(X0,inverse(X0)) = add(inverse(X0),add(X0,multiply(additive_identity,additive_identity))),
inference(superposition,[],[f66,f205]) ).
fof(f66,plain,
! [X2,X3] : add(X3,inverse(X2)) = add(inverse(X2),multiply(X2,X3)),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f65,plain,
! [X2,X3] : add(multiply(X2,X3),inverse(X2)) = add(X3,inverse(X2)),
inference(forward_demodulation,[],[f43,f12]) ).
fof(f43,plain,
! [X2,X3] : add(multiply(X2,X3),inverse(X2)) = multiply(multiplicative_identity,add(X3,inverse(X2))),
inference(superposition,[],[f3,f16]) ).
fof(f15,axiom,
x != inverse(inverse(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 16:08:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 % (21192)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.48 % (21202)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.20/0.51 % (21192)Instruction limit reached!
% 0.20/0.51 % (21192)------------------------------
% 0.20/0.51 % (21192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (21192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (21192)Termination reason: Unknown
% 0.20/0.51 % (21192)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (21192)Memory used [KB]: 6524
% 0.20/0.51 % (21192)Time elapsed: 0.091 s
% 0.20/0.51 % (21192)Instructions burned: 38 (million)
% 0.20/0.51 % (21192)------------------------------
% 0.20/0.51 % (21192)------------------------------
% 1.36/0.56 % (21202)First to succeed.
% 1.59/0.56 % (21202)Refutation found. Thanks to Tanya!
% 1.59/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56 % (21202)------------------------------
% 1.59/0.56 % (21202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (21202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (21202)Termination reason: Refutation
% 1.59/0.56
% 1.59/0.56 % (21202)Memory used [KB]: 6396
% 1.59/0.56 % (21202)Time elapsed: 0.140 s
% 1.59/0.56 % (21202)Instructions burned: 74 (million)
% 1.59/0.56 % (21202)------------------------------
% 1.59/0.56 % (21202)------------------------------
% 1.59/0.56 % (21181)Success in time 0.206 s
%------------------------------------------------------------------------------