TSTP Solution File: BOO014-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO014-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : Sun May 5 04:42:48 EDT 2024
% Result : Unsatisfiable 2.93s 0.77s
% Output : Refutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 17
% Syntax : Number of formulae : 93 ( 93 unt; 0 def)
% Number of atoms : 93 ( 92 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16975,plain,
$false,
inference(subsumption_resolution,[],[f16974,f17]) ).
fof(f17,axiom,
d != inverse(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).
fof(f16974,plain,
d = inverse(c),
inference(forward_demodulation,[],[f16973,f16]) ).
fof(f16,axiom,
multiply(inverse(a),inverse(b)) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_times_b_inverse_is_d) ).
fof(f16973,plain,
multiply(inverse(a),inverse(b)) = inverse(c),
inference(forward_demodulation,[],[f16972,f2549]) ).
fof(f2549,plain,
inverse(c) = add(d,inverse(c)),
inference(forward_demodulation,[],[f2539,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
fof(f2539,plain,
add(d,inverse(c)) = add(additive_identity,inverse(c)),
inference(superposition,[],[f77,f2529]) ).
fof(f2529,plain,
additive_identity = multiply(c,d),
inference(forward_demodulation,[],[f2528,f9]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f2528,plain,
multiply(d,inverse(d)) = multiply(c,d),
inference(forward_demodulation,[],[f2512,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f2512,plain,
multiply(d,inverse(d)) = multiply(d,c),
inference(superposition,[],[f399,f2244]) ).
fof(f2244,plain,
inverse(d) = add(inverse(d),c),
inference(superposition,[],[f255,f2108]) ).
fof(f2108,plain,
c = multiply(c,inverse(d)),
inference(forward_demodulation,[],[f2107,f15]) ).
fof(f15,axiom,
add(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_plus_b_is_c) ).
fof(f2107,plain,
add(a,b) = multiply(c,inverse(d)),
inference(forward_demodulation,[],[f2106,f2058]) ).
fof(f2058,plain,
b = multiply(b,inverse(d)),
inference(superposition,[],[f666,f1998]) ).
fof(f1998,plain,
inverse(d) = add(b,inverse(d)),
inference(forward_demodulation,[],[f1951,f14]) ).
fof(f1951,plain,
add(b,inverse(d)) = add(additive_identity,inverse(d)),
inference(superposition,[],[f77,f628]) ).
fof(f628,plain,
additive_identity = multiply(d,b),
inference(forward_demodulation,[],[f592,f10]) ).
fof(f10,axiom,
! [X0] : additive_identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f592,plain,
multiply(d,b) = multiply(inverse(b),b),
inference(superposition,[],[f253,f271]) ).
fof(f271,plain,
inverse(b) = add(inverse(b),d),
inference(superposition,[],[f255,f16]) ).
fof(f253,plain,
! [X0,X1] : multiply(X1,X0) = multiply(add(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f227,f14]) ).
fof(f227,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(add(inverse(X0),X1),X0),
inference(superposition,[],[f5,f10]) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f666,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f655,f266]) ).
fof(f266,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(superposition,[],[f255,f2]) ).
fof(f655,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f6,f626]) ).
fof(f626,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f589,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f589,plain,
! [X0] : multiply(multiplicative_identity,X0) = multiply(X0,X0),
inference(superposition,[],[f253,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f6,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity4) ).
fof(f2106,plain,
add(a,multiply(b,inverse(d))) = multiply(c,inverse(d)),
inference(forward_demodulation,[],[f2105,f2]) ).
fof(f2105,plain,
add(a,multiply(inverse(d),b)) = multiply(c,inverse(d)),
inference(forward_demodulation,[],[f2093,f2]) ).
fof(f2093,plain,
add(a,multiply(inverse(d),b)) = multiply(inverse(d),c),
inference(superposition,[],[f155,f1999]) ).
fof(f1999,plain,
inverse(d) = add(a,inverse(d)),
inference(forward_demodulation,[],[f1952,f14]) ).
fof(f1952,plain,
add(additive_identity,inverse(d)) = add(a,inverse(d)),
inference(superposition,[],[f77,f629]) ).
fof(f629,plain,
additive_identity = multiply(d,a),
inference(forward_demodulation,[],[f593,f10]) ).
fof(f593,plain,
multiply(d,a) = multiply(inverse(a),a),
inference(superposition,[],[f253,f349]) ).
fof(f349,plain,
inverse(a) = add(inverse(a),d),
inference(superposition,[],[f266,f16]) ).
fof(f155,plain,
! [X0] : add(a,multiply(X0,b)) = multiply(add(a,X0),c),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f255,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f254,f12]) ).
fof(f254,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f229,f102]) ).
fof(f102,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f88,f8]) ).
fof(f88,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(superposition,[],[f78,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f78,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f62,f12]) ).
fof(f62,plain,
! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
inference(superposition,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f229,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
inference(superposition,[],[f5,f12]) ).
fof(f399,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[],[f363,f14]) ).
fof(f363,plain,
! [X0,X1] : add(additive_identity,multiply(X0,X1)) = multiply(X0,add(inverse(X0),X1)),
inference(superposition,[],[f6,f9]) ).
fof(f77,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = add(X1,inverse(X0)),
inference(forward_demodulation,[],[f59,f12]) ).
fof(f59,plain,
! [X0,X1] : add(multiply(X0,X1),inverse(X0)) = multiply(multiplicative_identity,add(X1,inverse(X0))),
inference(superposition,[],[f3,f7]) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f16972,plain,
multiply(inverse(a),inverse(b)) = add(d,inverse(c)),
inference(forward_demodulation,[],[f16971,f6052]) ).
fof(f6052,plain,
inverse(c) = multiply(inverse(b),inverse(c)),
inference(forward_demodulation,[],[f6030,f12]) ).
fof(f6030,plain,
multiply(multiplicative_identity,inverse(c)) = multiply(inverse(b),inverse(c)),
inference(superposition,[],[f257,f5943]) ).
fof(f5943,plain,
multiplicative_identity = add(inverse(b),c),
inference(superposition,[],[f2716,f15]) ).
fof(f2716,plain,
! [X0,X1] : multiplicative_identity = add(inverse(X0),add(X1,X0)),
inference(forward_demodulation,[],[f2666,f8]) ).
fof(f2666,plain,
! [X0,X1] : add(inverse(X0),X0) = add(inverse(X0),add(X1,X0)),
inference(superposition,[],[f164,f668]) ).
fof(f668,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[],[f667,f266]) ).
fof(f667,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f656,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f656,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f6,f626]) ).
fof(f164,plain,
! [X0,X1] : add(inverse(X0),X1) = add(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f141,f12]) ).
fof(f141,plain,
! [X0,X1] : add(inverse(X0),multiply(X0,X1)) = multiply(multiplicative_identity,add(inverse(X0),X1)),
inference(superposition,[],[f4,f8]) ).
fof(f257,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(add(X1,X0),inverse(X0)),
inference(forward_demodulation,[],[f231,f13]) ).
fof(f13,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f231,plain,
! [X0,X1] : multiply(add(X1,X0),inverse(X0)) = add(multiply(X1,inverse(X0)),additive_identity),
inference(superposition,[],[f5,f9]) ).
fof(f16971,plain,
multiply(inverse(a),inverse(b)) = add(d,multiply(inverse(b),inverse(c))),
inference(forward_demodulation,[],[f16892,f2]) ).
fof(f16892,plain,
multiply(inverse(a),inverse(b)) = add(d,multiply(inverse(c),inverse(b))),
inference(superposition,[],[f228,f3154]) ).
fof(f3154,plain,
inverse(a) = add(inverse(a),inverse(c)),
inference(forward_demodulation,[],[f3139,f13]) ).
fof(f3139,plain,
add(inverse(a),additive_identity) = add(inverse(a),inverse(c)),
inference(superposition,[],[f164,f3111]) ).
fof(f3111,plain,
additive_identity = multiply(a,inverse(c)),
inference(forward_demodulation,[],[f3028,f9]) ).
fof(f3028,plain,
multiply(a,inverse(c)) = multiply(c,inverse(c)),
inference(superposition,[],[f252,f1189]) ).
fof(f1189,plain,
c = add(c,a),
inference(superposition,[],[f266,f1176]) ).
fof(f1176,plain,
a = multiply(c,a),
inference(superposition,[],[f664,f1162]) ).
fof(f1162,plain,
c = add(b,a),
inference(forward_demodulation,[],[f1161,f626]) ).
fof(f1161,plain,
add(b,a) = multiply(c,c),
inference(forward_demodulation,[],[f1132,f626]) ).
fof(f1132,plain,
multiply(c,c) = add(b,multiply(a,a)),
inference(superposition,[],[f79,f15]) ).
fof(f79,plain,
! [X0] : multiply(c,add(X0,b)) = add(b,multiply(a,X0)),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f64,plain,
! [X0] : add(multiply(a,X0),b) = multiply(c,add(X0,b)),
inference(superposition,[],[f3,f15]) ).
fof(f664,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f663,f255]) ).
fof(f663,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f653,f1]) ).
fof(f653,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(multiply(X1,X0),X0),
inference(superposition,[],[f5,f626]) ).
fof(f252,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(add(X0,X1),inverse(X0)),
inference(forward_demodulation,[],[f222,f14]) ).
fof(f222,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
inference(superposition,[],[f5,f9]) ).
fof(f228,plain,
! [X0] : multiply(add(inverse(a),X0),inverse(b)) = add(d,multiply(X0,inverse(b))),
inference(superposition,[],[f5,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO014-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % 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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:45:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.35 % (25737)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (25743)WARNING: value z3 for option sas not known
% 0.20/0.37 % (25742)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (25741)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (25743)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)
% 0.20/0.37 % (25744)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (25745)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)
% 0.20/0.37 % (25746)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)
% 0.20/0.37 % (25747)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)
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [2]
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [2]
% 0.20/0.39 TRYING [3]
% 0.20/0.39 TRYING [4]
% 0.20/0.45 TRYING [4]
% 0.20/0.47 TRYING [5]
% 1.67/0.60 TRYING [6]
% 1.67/0.63 TRYING [5]
% 2.93/0.77 % (25743)First to succeed.
% 2.93/0.77 % (25743)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25737"
% 2.93/0.77 % (25743)Refutation found. Thanks to Tanya!
% 2.93/0.77 % SZS status Unsatisfiable for theBenchmark
% 2.93/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.93/0.77 % (25743)------------------------------
% 2.93/0.77 % (25743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.93/0.77 % (25743)Termination reason: Refutation
% 2.93/0.77
% 2.93/0.77 % (25743)Memory used [KB]: 5555
% 2.93/0.77 % (25743)Time elapsed: 0.400 s
% 2.93/0.77 % (25743)Instructions burned: 872 (million)
% 2.93/0.77 % (25737)Success in time 0.397 s
%------------------------------------------------------------------------------