TSTP Solution File: GRP048-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP048-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.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 : Tue Apr 30 11:51:00 EDT 2024
% Result : Unsatisfiable 5.42s 1.14s
% Output : Refutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 71 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 135 ( 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19101,plain,
$false,
inference(subsumption_resolution,[],[f19099,f10]) ).
fof(f10,axiom,
true != equalish(inverse(a),inverse(b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_substitution) ).
fof(f19099,plain,
true = equalish(inverse(a),inverse(b)),
inference(superposition,[],[f18983,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f18983,plain,
true = ifeq(true,true,equalish(inverse(a),inverse(b)),true),
inference(superposition,[],[f15997,f18972]) ).
fof(f18972,plain,
true = product(inverse(a),identity,inverse(b)),
inference(superposition,[],[f18732,f1]) ).
fof(f18732,plain,
true = ifeq(true,true,product(inverse(a),identity,inverse(b)),true),
inference(forward_demodulation,[],[f18596,f1]) ).
fof(f18596,plain,
true = ifeq(true,true,ifeq(true,true,product(inverse(a),identity,inverse(b)),true),true),
inference(superposition,[],[f2037,f10310]) ).
fof(f10310,plain,
true = product(a,inverse(b),identity),
inference(superposition,[],[f10074,f1]) ).
fof(f10074,plain,
true = ifeq(true,true,product(a,inverse(b),identity),true),
inference(superposition,[],[f1765,f10043]) ).
fof(f10043,plain,
! [X0] : true = product(X0,inverse(X0),identity),
inference(superposition,[],[f10025,f1]) ).
fof(f10025,plain,
! [X0] : true = ifeq(true,true,product(X0,inverse(X0),identity),true),
inference(superposition,[],[f44,f10021]) ).
fof(f10021,plain,
! [X0] : true = equalish(multiply(X0,inverse(X0)),identity),
inference(superposition,[],[f9892,f1]) ).
fof(f9892,plain,
! [X0] : true = ifeq(true,true,equalish(multiply(X0,inverse(X0)),identity),true),
inference(superposition,[],[f18,f9880]) ).
fof(f9880,plain,
! [X0] : true = product(identity,multiply(X0,inverse(X0)),identity),
inference(superposition,[],[f9058,f1]) ).
fof(f9058,plain,
! [X0] : true = ifeq(true,true,product(identity,multiply(X0,inverse(X0)),identity),true),
inference(superposition,[],[f2169,f9043]) ).
fof(f9043,plain,
! [X0,X1] : true = product(inverse(X0),multiply(X0,X1),X1),
inference(superposition,[],[f8976,f1]) ).
fof(f8976,plain,
! [X0,X1] : true = ifeq(true,true,product(inverse(X1),multiply(X1,X0),X0),true),
inference(superposition,[],[f2084,f2]) ).
fof(f2,axiom,
! [X3] : product(identity,X3,X3) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2084,plain,
! [X2,X0,X1] : true = ifeq(product(identity,X1,X2),true,product(inverse(X0),multiply(X0,X1),X2),true),
inference(forward_demodulation,[],[f2055,f1]) ).
fof(f2055,plain,
! [X2,X0,X1] : true = ifeq(product(identity,X1,X2),true,ifeq(true,true,product(inverse(X0),multiply(X0,X1),X2),true),true),
inference(superposition,[],[f108,f4]) ).
fof(f4,axiom,
! [X3,X4] : true = product(X3,X4,multiply(X3,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function1) ).
fof(f108,plain,
! [X2,X3,X0,X1] : true = ifeq(product(identity,X1,X2),true,ifeq(product(X0,X1,X3),true,product(inverse(X0),X3,X2),true),true),
inference(forward_demodulation,[],[f96,f1]) ).
fof(f96,plain,
! [X2,X3,X0,X1] : true = ifeq(product(identity,X1,X2),true,ifeq(product(X0,X1,X3),true,ifeq(true,true,product(inverse(X0),X3,X2),true),true),true),
inference(superposition,[],[f6,f3]) ).
fof(f3,axiom,
! [X3] : true = product(inverse(X3),X3,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f6,axiom,
! [X3,X8,X6,X7,X4,X5] : true = ifeq(product(X7,X6,X5),true,ifeq(product(X4,X6,X8),true,ifeq(product(X3,X4,X7),true,product(X3,X8,X5),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f2169,plain,
! [X0,X1] : true = ifeq(product(X0,X1,X0),true,product(identity,X1,identity),true),
inference(forward_demodulation,[],[f2154,f1]) ).
fof(f2154,plain,
! [X0,X1] : true = ifeq(product(X0,X1,X0),true,ifeq(true,true,product(identity,X1,identity),true),true),
inference(superposition,[],[f196,f3]) ).
fof(f196,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(inverse(X0),X1,X3),true,product(X3,X2,identity),true),true),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(true,true,ifeq(product(inverse(X0),X1,X3),true,product(X3,X2,identity),true),true),true),
inference(superposition,[],[f7,f3]) ).
fof(f7,axiom,
! [X3,X8,X6,X7,X4,X5] : true = ifeq(product(X4,X6,X8),true,ifeq(product(X3,X8,X5),true,ifeq(product(X3,X4,X7),true,product(X7,X6,X5),true),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f18,plain,
! [X0,X1] : true = ifeq(product(identity,X0,X1),true,equalish(X0,X1),true),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f14,plain,
! [X0,X1] : true = ifeq(product(identity,X0,X1),true,ifeq(true,true,equalish(X0,X1),true),true),
inference(superposition,[],[f5,f2]) ).
fof(f5,axiom,
! [X3,X6,X4,X5] : true = ifeq(product(X3,X4,X5),true,ifeq(product(X3,X4,X6),true,equalish(X6,X5),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f44,plain,
! [X2,X0,X1] : true = ifeq(equalish(multiply(X0,X1),X2),true,product(X0,X1,X2),true),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f38,plain,
! [X2,X0,X1] : true = ifeq(equalish(multiply(X0,X1),X2),true,ifeq(true,true,product(X0,X1,X2),true),true),
inference(superposition,[],[f8,f4]) ).
fof(f8,axiom,
! [X3,X6,X4,X5] : true = ifeq(equalish(X3,X4),true,ifeq(product(X5,X6,X3),true,product(X5,X6,X4),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f1765,plain,
! [X0,X1] : true = ifeq(product(b,X0,X1),true,product(a,X0,X1),true),
inference(forward_demodulation,[],[f1729,f1]) ).
fof(f1729,plain,
! [X0,X1] : true = ifeq(product(b,X0,X1),true,ifeq(true,true,product(a,X0,X1),true),true),
inference(superposition,[],[f195,f121]) ).
fof(f121,plain,
true = product(identity,b,a),
inference(superposition,[],[f115,f1]) ).
fof(f115,plain,
true = ifeq(true,true,product(identity,b,a),true),
inference(superposition,[],[f42,f85]) ).
fof(f85,plain,
true = equalish(b,a),
inference(superposition,[],[f80,f1]) ).
fof(f80,plain,
true = ifeq(true,true,equalish(b,a),true),
inference(superposition,[],[f72,f2]) ).
fof(f72,plain,
! [X0] : true = ifeq(product(identity,a,X0),true,equalish(b,X0),true),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f67,plain,
! [X0] : true = ifeq(product(identity,a,X0),true,ifeq(true,true,equalish(b,X0),true),true),
inference(superposition,[],[f5,f59]) ).
fof(f59,plain,
true = product(identity,a,b),
inference(superposition,[],[f50,f1]) ).
fof(f50,plain,
true = ifeq(true,true,product(identity,a,b),true),
inference(superposition,[],[f42,f9]) ).
fof(f9,axiom,
true = equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
fof(f42,plain,
! [X0,X1] : true = ifeq(equalish(X0,X1),true,product(identity,X0,X1),true),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f36,plain,
! [X0,X1] : true = ifeq(equalish(X0,X1),true,ifeq(true,true,product(identity,X0,X1),true),true),
inference(superposition,[],[f8,f2]) ).
fof(f195,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(product(identity,X1,X3),true,product(X3,X2,X0),true),true),
inference(forward_demodulation,[],[f177,f1]) ).
fof(f177,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X2,X0),true,ifeq(true,true,ifeq(product(identity,X1,X3),true,product(X3,X2,X0),true),true),true),
inference(superposition,[],[f7,f2]) ).
fof(f2037,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(product(X1,X0,X2),true,product(inverse(X1),X2,X0),true),true),
inference(superposition,[],[f108,f2]) ).
fof(f15997,plain,
! [X0,X1] : true = ifeq(product(X0,identity,X1),true,equalish(X0,X1),true),
inference(forward_demodulation,[],[f15857,f1]) ).
fof(f15857,plain,
! [X0,X1] : true = ifeq(product(X0,identity,X1),true,ifeq(true,true,equalish(X0,X1),true),true),
inference(superposition,[],[f5,f15784]) ).
fof(f15784,plain,
! [X0] : true = product(X0,identity,X0),
inference(superposition,[],[f15607,f1]) ).
fof(f15607,plain,
! [X0] : true = ifeq(true,true,product(X0,identity,X0),true),
inference(superposition,[],[f1990,f15489]) ).
fof(f15489,plain,
! [X0,X1] : true = product(multiply(X0,inverse(X0)),X1,X1),
inference(superposition,[],[f13677,f1]) ).
fof(f13677,plain,
! [X0,X1] : true = ifeq(true,true,product(multiply(X0,inverse(X0)),X1,X1),true),
inference(superposition,[],[f11765,f13672]) ).
fof(f13672,plain,
! [X0] : true = product(identity,identity,multiply(X0,inverse(X0))),
inference(superposition,[],[f11275,f1]) ).
fof(f11275,plain,
! [X0] : true = ifeq(true,true,product(identity,identity,multiply(X0,inverse(X0))),true),
inference(forward_demodulation,[],[f11213,f1]) ).
fof(f11213,plain,
! [X0] : true = ifeq(true,true,ifeq(true,true,product(identity,identity,multiply(X0,inverse(X0))),true),true),
inference(superposition,[],[f1542,f9880]) ).
fof(f1542,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(product(identity,X0,X1),true,product(identity,X1,X0),true),true),
inference(superposition,[],[f107,f2]) ).
fof(f107,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,product(identity,X3,X2),true),true),
inference(forward_demodulation,[],[f95,f1]) ).
fof(f95,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X0,X1,X2),true,ifeq(product(X0,X1,X3),true,ifeq(true,true,product(identity,X3,X2),true),true),true),
inference(superposition,[],[f6,f2]) ).
fof(f11765,plain,
! [X0,X1] : true = ifeq(product(identity,identity,X0),true,product(X0,X1,X1),true),
inference(superposition,[],[f1699,f1]) ).
fof(f1699,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(product(identity,identity,X1),true,product(X1,X0,X0),true),true),
inference(superposition,[],[f195,f2]) ).
fof(f1990,plain,
! [X2,X0,X1] : true = ifeq(product(multiply(X0,inverse(X1)),X1,X2),true,product(X0,identity,X2),true),
inference(forward_demodulation,[],[f1973,f1]) ).
fof(f1973,plain,
! [X2,X0,X1] : true = ifeq(product(multiply(X0,inverse(X1)),X1,X2),true,ifeq(true,true,product(X0,identity,X2),true),true),
inference(superposition,[],[f104,f4]) ).
fof(f104,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X0,X2),true,ifeq(product(X3,inverse(X0),X1),true,product(X3,identity,X2),true),true),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : true = ifeq(product(X1,X0,X2),true,ifeq(true,true,ifeq(product(X3,inverse(X0),X1),true,product(X3,identity,X2),true),true),true),
inference(superposition,[],[f6,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP048-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n013.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
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Apr 30 04:16:04 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (20410)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (20413)WARNING: value z3 for option sas not known
% 0.21/0.39 % (20413)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)
% 0.21/0.39 % (20412)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39 % (20414)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39 % (20417)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)
% 0.21/0.39 % (20415)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)
% 0.21/0.39 % (20416)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)
% 0.21/0.39 TRYING [1]
% 0.21/0.39 % (20411)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.50 TRYING [4]
% 1.91/0.64 TRYING [4]
% 5.42/1.13 % (20413)First to succeed.
% 5.42/1.14 % (20413)Refutation found. Thanks to Tanya!
% 5.42/1.14 % SZS status Unsatisfiable for theBenchmark
% 5.42/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 5.42/1.14 % (20413)------------------------------
% 5.42/1.14 % (20413)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 5.42/1.14 % (20413)Termination reason: Refutation
% 5.42/1.14
% 5.42/1.14 % (20413)Memory used [KB]: 11320
% 5.42/1.14 % (20413)Time elapsed: 0.748 s
% 5.42/1.14 % (20413)Instructions burned: 2231 (million)
% 5.42/1.14 % (20413)------------------------------
% 5.42/1.14 % (20413)------------------------------
% 5.42/1.14 % (20410)Success in time 0.761 s
%------------------------------------------------------------------------------