TSTP Solution File: BOO012-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO012-4 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 10:42:02 EDT 2024
% Result : Unsatisfiable 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 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 : 4 ( 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 : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f506,plain,
$false,
inference(trivial_inequality_removal,[],[f488]) ).
fof(f488,plain,
x != x,
inference(superposition,[],[f9,f478]) ).
fof(f478,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f466,f320]) ).
fof(f320,plain,
! [X0] : add(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f317,f5]) ).
fof(f5,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f317,plain,
! [X0] : add(X0,additive_identity) = add(X0,inverse(inverse(X0))),
inference(superposition,[],[f41,f282]) ).
fof(f282,plain,
! [X0] : additive_identity = multiply(inverse(X0),X0),
inference(superposition,[],[f209,f212]) ).
fof(f212,plain,
! [X0] : multiply(X0,inverse(inverse(X0))) = X0,
inference(forward_demodulation,[],[f195,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f195,plain,
! [X0] : multiply(X0,multiplicative_identity) = multiply(X0,inverse(inverse(X0))),
inference(superposition,[],[f115,f7]) ).
fof(f7,axiom,
! [X0] : multiplicative_identity = add(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f115,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X0,add(inverse(X0),X1)),
inference(forward_demodulation,[],[f92,f10]) ).
fof(f10,plain,
! [X0] : add(additive_identity,X0) = X0,
inference(superposition,[],[f1,f5]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f92,plain,
! [X0,X1] : add(additive_identity,multiply(X0,X1)) = multiply(X0,add(inverse(X0),X1)),
inference(superposition,[],[f4,f8]) ).
fof(f8,axiom,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity2) ).
fof(f209,plain,
! [X0,X1] : additive_identity = multiply(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f192,f8]) ).
fof(f192,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X0,multiply(X1,inverse(X0))),
inference(superposition,[],[f115,f125]) ).
fof(f125,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(superposition,[],[f114,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f114,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = X0,
inference(forward_demodulation,[],[f113,f6]) ).
fof(f113,plain,
! [X0,X1] : multiply(X0,multiplicative_identity) = add(X0,multiply(X0,X1)),
inference(forward_demodulation,[],[f91,f71]) ).
fof(f71,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(superposition,[],[f62,f1]) ).
fof(f62,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(forward_demodulation,[],[f56,f7]) ).
fof(f56,plain,
! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
inference(superposition,[],[f41,f22]) ).
fof(f22,plain,
! [X0] : multiply(multiplicative_identity,X0) = X0,
inference(superposition,[],[f2,f6]) ).
fof(f91,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(multiplicative_identity,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f41,plain,
! [X0,X1] : add(X0,X1) = add(X0,multiply(X1,inverse(X0))),
inference(forward_demodulation,[],[f32,f6]) ).
fof(f32,plain,
! [X0,X1] : add(X0,multiply(X1,inverse(X0))) = multiply(add(X0,X1),multiplicative_identity),
inference(superposition,[],[f3,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f466,plain,
! [X0] : inverse(inverse(X0)) = add(X0,inverse(inverse(X0))),
inference(superposition,[],[f247,f1]) ).
fof(f247,plain,
! [X0] : inverse(inverse(X0)) = add(inverse(inverse(X0)),X0),
inference(superposition,[],[f125,f212]) ).
fof(f9,axiom,
x != inverse(inverse(x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : BOO012-4 : TPTP v8.1.2. Released v1.1.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.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 : Tue Apr 30 02:21:51 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.36 % (21119)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (21124)WARNING: value z3 for option sas not known
% 0.21/0.37 % (21125)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (21121)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (21122)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (21124)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)
% 0.21/0.37 % (21126)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)
% 0.21/0.37 % (21127)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)
% 0.21/0.37 % (21128)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [4]
% 0.21/0.39 % (21124)First to succeed.
% 0.21/0.39 % (21127)Also succeeded, but the first one will report.
% 0.21/0.39 % (21124)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (21124)------------------------------
% 0.21/0.39 % (21124)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (21124)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (21124)Memory used [KB]: 940
% 0.21/0.39 % (21124)Time elapsed: 0.017 s
% 0.21/0.39 % (21124)Instructions burned: 25 (million)
% 0.21/0.39 % (21124)------------------------------
% 0.21/0.39 % (21124)------------------------------
% 0.21/0.39 % (21119)Success in time 0.033 s
%------------------------------------------------------------------------------