TSTP Solution File: BOO015-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO015-2 : TPTP v8.2.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Mon May 20 18:58:50 EDT 2024
% Result : Unsatisfiable 2.76s 0.80s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 97 ( 97 unt; 0 def)
% Number of atoms : 97 ( 96 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 : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16651,plain,
$false,
inference(subsumption_resolution,[],[f16650,f17]) ).
fof(f17,axiom,
d != inverse(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_inverse_is_d) ).
fof(f16650,plain,
d = inverse(c),
inference(forward_demodulation,[],[f16649,f16]) ).
fof(f16,axiom,
add(inverse(a),inverse(b)) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_inverse_plus_b_inverse_is_d) ).
fof(f16649,plain,
add(inverse(a),inverse(b)) = inverse(c),
inference(forward_demodulation,[],[f16648,f12433]) ).
fof(f12433,plain,
inverse(c) = multiply(d,inverse(c)),
inference(forward_demodulation,[],[f12395,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f12395,plain,
multiply(multiplicative_identity,inverse(c)) = multiply(d,inverse(c)),
inference(superposition,[],[f313,f12329]) ).
fof(f12329,plain,
multiplicative_identity = add(c,d),
inference(superposition,[],[f787,f12328]) ).
fof(f12328,plain,
c = add(c,inverse(d)),
inference(forward_demodulation,[],[f2763,f2830]) ).
fof(f2830,plain,
inverse(d) = multiply(b,inverse(d)),
inference(superposition,[],[f615,f2809]) ).
fof(f2809,plain,
b = add(b,inverse(d)),
inference(forward_demodulation,[],[f2792,f13]) ).
fof(f13,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f2792,plain,
add(b,additive_identity) = add(b,inverse(d)),
inference(superposition,[],[f159,f2616]) ).
fof(f2616,plain,
additive_identity = multiply(inverse(b),inverse(d)),
inference(superposition,[],[f1827,f969]) ).
fof(f969,plain,
inverse(b) = multiply(inverse(b),d),
inference(superposition,[],[f619,f16]) ).
fof(f619,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = X0,
inference(forward_demodulation,[],[f618,f329]) ).
fof(f329,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(superposition,[],[f316,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f316,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f315,f12]) ).
fof(f315,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f287,f99]) ).
fof(f99,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f86,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f86,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,[],[f63,f12]) ).
fof(f63,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(f287,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = multiply(add(multiplicative_identity,X1),X0),
inference(superposition,[],[f5,f12]) ).
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(f618,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f607,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f607,plain,
! [X0,X1] : multiply(X0,add(X1,X0)) = add(multiply(X0,X1),X0),
inference(superposition,[],[f6,f579]) ).
fof(f579,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f545,f12]) ).
fof(f545,plain,
! [X0] : multiply(multiplicative_identity,X0) = multiply(X0,X0),
inference(superposition,[],[f314,f8]) ).
fof(f314,plain,
! [X0,X1] : multiply(X1,X0) = multiply(add(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f286,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
fof(f286,plain,
! [X0,X1] : add(additive_identity,multiply(X1,X0)) = multiply(add(inverse(X0),X1),X0),
inference(superposition,[],[f5,f10]) ).
fof(f10,axiom,
! [X0] : additive_identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_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(f1827,plain,
! [X0,X1] : additive_identity = multiply(multiply(X1,X0),inverse(X0)),
inference(superposition,[],[f584,f644]) ).
fof(f644,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f633,f100]) ).
fof(f100,plain,
! [X0] : add(inverse(inverse(X0)),X0) = X0,
inference(forward_demodulation,[],[f87,f14]) ).
fof(f87,plain,
! [X0] : add(additive_identity,X0) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f78,f9]) ).
fof(f9,axiom,
! [X0] : multiply(X0,inverse(X0)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f633,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f329,f587]) ).
fof(f587,plain,
! [X0] : multiply(inverse(inverse(X0)),X0) = X0,
inference(forward_demodulation,[],[f553,f12]) ).
fof(f553,plain,
! [X0] : multiply(multiplicative_identity,X0) = multiply(inverse(inverse(X0)),X0),
inference(superposition,[],[f314,f7]) ).
fof(f7,axiom,
! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f584,plain,
! [X0,X1] : additive_identity = multiply(multiply(X1,inverse(X0)),X0),
inference(forward_demodulation,[],[f583,f9]) ).
fof(f583,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X0)),X0),
inference(forward_demodulation,[],[f551,f2]) ).
fof(f551,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(multiply(X1,inverse(X0)),X0),
inference(superposition,[],[f314,f316]) ).
fof(f159,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f134,f12]) ).
fof(f134,plain,
! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
inference(superposition,[],[f4,f7]) ).
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(f615,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f614,f316]) ).
fof(f614,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f604,f1]) ).
fof(f604,plain,
! [X0,X1] : multiply(add(X1,X0),X0) = add(multiply(X1,X0),X0),
inference(superposition,[],[f5,f579]) ).
fof(f2763,plain,
c = add(c,multiply(b,inverse(d))),
inference(forward_demodulation,[],[f2762,f15]) ).
fof(f15,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f2762,plain,
multiply(a,b) = add(c,multiply(b,inverse(d))),
inference(forward_demodulation,[],[f2751,f2]) ).
fof(f2751,plain,
multiply(a,b) = add(c,multiply(inverse(d),b)),
inference(superposition,[],[f288,f2737]) ).
fof(f2737,plain,
a = add(a,inverse(d)),
inference(forward_demodulation,[],[f2720,f13]) ).
fof(f2720,plain,
add(a,additive_identity) = add(a,inverse(d)),
inference(superposition,[],[f159,f2615]) ).
fof(f2615,plain,
additive_identity = multiply(inverse(a),inverse(d)),
inference(superposition,[],[f1827,f888]) ).
fof(f888,plain,
inverse(a) = multiply(inverse(a),d),
inference(superposition,[],[f617,f16]) ).
fof(f617,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f606,f329]) ).
fof(f606,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f6,f579]) ).
fof(f288,plain,
! [X0] : multiply(add(a,X0),b) = add(c,multiply(X0,b)),
inference(superposition,[],[f5,f15]) ).
fof(f787,plain,
! [X0,X1] : multiplicative_identity = add(add(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f786,f7]) ).
fof(f786,plain,
! [X0,X1] : add(X1,inverse(X1)) = add(add(X0,inverse(X1)),X1),
inference(forward_demodulation,[],[f775,f1]) ).
fof(f775,plain,
! [X0,X1] : add(add(X0,inverse(X1)),X1) = add(inverse(X1),X1),
inference(superposition,[],[f81,f615]) ).
fof(f81,plain,
! [X0,X1] : add(X1,X0) = add(multiply(X1,inverse(X0)),X0),
inference(forward_demodulation,[],[f70,f11]) ).
fof(f70,plain,
! [X0,X1] : add(multiply(X1,inverse(X0)),X0) = multiply(add(X1,X0),multiplicative_identity),
inference(superposition,[],[f3,f8]) ).
fof(f313,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = multiply(add(X0,X1),inverse(X0)),
inference(forward_demodulation,[],[f281,f14]) ).
fof(f281,plain,
! [X0,X1] : multiply(add(X0,X1),inverse(X0)) = add(additive_identity,multiply(X1,inverse(X0))),
inference(superposition,[],[f5,f9]) ).
fof(f16648,plain,
add(inverse(a),inverse(b)) = multiply(d,inverse(c)),
inference(forward_demodulation,[],[f16647,f2691]) ).
fof(f2691,plain,
inverse(c) = add(inverse(b),inverse(c)),
inference(forward_demodulation,[],[f2678,f14]) ).
fof(f2678,plain,
add(inverse(b),inverse(c)) = add(additive_identity,inverse(c)),
inference(superposition,[],[f77,f2623]) ).
fof(f2623,plain,
additive_identity = multiply(c,inverse(b)),
inference(superposition,[],[f1827,f15]) ).
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(f16647,plain,
add(inverse(a),inverse(b)) = multiply(d,add(inverse(b),inverse(c))),
inference(forward_demodulation,[],[f16569,f1]) ).
fof(f16569,plain,
add(inverse(a),inverse(b)) = multiply(d,add(inverse(c),inverse(b))),
inference(superposition,[],[f64,f5313]) ).
fof(f5313,plain,
inverse(a) = multiply(inverse(a),inverse(c)),
inference(forward_demodulation,[],[f5232,f11]) ).
fof(f5232,plain,
multiply(inverse(a),inverse(c)) = multiply(inverse(a),multiplicative_identity),
inference(superposition,[],[f474,f2159]) ).
fof(f2159,plain,
multiplicative_identity = add(a,inverse(c)),
inference(forward_demodulation,[],[f2101,f7]) ).
fof(f2101,plain,
add(a,inverse(c)) = add(c,inverse(c)),
inference(superposition,[],[f77,f894]) ).
fof(f894,plain,
c = multiply(c,a),
inference(superposition,[],[f617,f514]) ).
fof(f514,plain,
a = add(c,a),
inference(superposition,[],[f479,f15]) ).
fof(f479,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f478,f11]) ).
fof(f478,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f442,f111]) ).
fof(f111,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(superposition,[],[f99,f1]) ).
fof(f442,plain,
! [X0,X1] : add(multiply(X0,X1),X0) = multiply(X0,add(X1,multiplicative_identity)),
inference(superposition,[],[f6,f11]) ).
fof(f474,plain,
! [X0,X1] : multiply(inverse(X0),X1) = multiply(inverse(X0),add(X0,X1)),
inference(forward_demodulation,[],[f435,f14]) ).
fof(f435,plain,
! [X0,X1] : multiply(inverse(X0),add(X0,X1)) = add(additive_identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f6,f10]) ).
fof(f64,plain,
! [X0] : add(multiply(inverse(a),X0),inverse(b)) = multiply(d,add(X0,inverse(b))),
inference(superposition,[],[f3,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO015-2 : TPTP v8.2.0. Bugfixed v1.0.1.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n027.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sat May 18 14:37:53 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % (1099)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (1102)WARNING: value z3 for option sas not known
% 0.14/0.40 % (1103)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (1100)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.40 % (1101)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (1105)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)
% 0.14/0.40 % (1104)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)
% 0.14/0.40 % (1102)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)
% 0.14/0.40 % (1106)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)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.41 TRYING [3]
% 0.14/0.42 TRYING [4]
% 0.14/0.45 TRYING [4]
% 0.23/0.47 TRYING [5]
% 1.41/0.61 TRYING [6]
% 1.41/0.63 TRYING [5]
% 2.76/0.79 % (1102)First to succeed.
% 2.76/0.79 % (1102)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1099"
% 2.76/0.80 % (1102)Refutation found. Thanks to Tanya!
% 2.76/0.80 % SZS status Unsatisfiable for theBenchmark
% 2.76/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/0.80 % (1102)------------------------------
% 2.76/0.80 % (1102)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.76/0.80 % (1102)Termination reason: Refutation
% 2.76/0.80
% 2.76/0.80 % (1102)Memory used [KB]: 5515
% 2.76/0.80 % (1102)Time elapsed: 0.400 s
% 2.76/0.80 % (1102)Instructions burned: 857 (million)
% 2.76/0.80 % (1099)Success in time 0.405 s
%------------------------------------------------------------------------------