TSTP Solution File: BOO009-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO009-2 : 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 : n026.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 10:42:01 EDT 2024
% Result : Unsatisfiable 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f794,plain,
$false,
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
a != a,
inference(superposition,[],[f15,f600]) ).
fof(f600,plain,
! [X0,X1] : multiply(X0,add(X0,X1)) = X0,
inference(forward_demodulation,[],[f588,f348]) ).
fof(f348,plain,
! [X0,X1] : add(X1,multiply(X1,X0)) = X1,
inference(superposition,[],[f336,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f336,plain,
! [X0,X1] : add(X0,multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f335,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f335,plain,
! [X0,X1] : multiply(multiplicative_identity,X0) = add(X0,multiply(X1,X0)),
inference(forward_demodulation,[],[f307,f94]) ).
fof(f94,plain,
! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
inference(forward_demodulation,[],[f81,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f81,plain,
! [X0] : add(inverse(X0),X0) = add(multiplicative_identity,X0),
inference(superposition,[],[f74,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f74,plain,
! [X0,X1] : add(X1,X0) = add(multiply(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f61,f12]) ).
fof(f61,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/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f307,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/sandbox/benchmark/theBenchmark.p',distributivity3) ).
fof(f588,plain,
! [X0,X1] : add(X0,multiply(X0,X1)) = multiply(X0,add(X0,X1)),
inference(superposition,[],[f6,f561]) ).
fof(f561,plain,
! [X0] : multiply(X0,X0) = X0,
inference(forward_demodulation,[],[f527,f12]) ).
fof(f527,plain,
! [X0] : multiply(multiplicative_identity,X0) = multiply(X0,X0),
inference(superposition,[],[f334,f8]) ).
fof(f334,plain,
! [X0,X1] : multiply(X1,X0) = multiply(add(inverse(X0),X1),X0),
inference(forward_demodulation,[],[f306,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_id2) ).
fof(f306,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/sandbox/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/sandbox/benchmark/theBenchmark.p',distributivity4) ).
fof(f15,axiom,
a != multiply(a,add(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_operation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : BOO009-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 02:42:49 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (11782)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32 % (11785)WARNING: value z3 for option sas not known
% 0.15/0.32 % (11784)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (11783)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (11787)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)
% 0.15/0.33 % (11785)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)
% 0.15/0.33 % (11788)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)
% 0.15/0.33 % (11786)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (11789)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)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 % (11785)First to succeed.
% 0.15/0.35 % (11785)Refutation found. Thanks to Tanya!
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.35 % (11785)------------------------------
% 0.15/0.35 % (11785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.35 % (11785)Termination reason: Refutation
% 0.15/0.35
% 0.15/0.35 % (11785)Memory used [KB]: 1016
% 0.15/0.35 % (11785)Time elapsed: 0.021 s
% 0.15/0.35 % (11785)Instructions burned: 41 (million)
% 0.15/0.35 % (11785)------------------------------
% 0.15/0.35 % (11785)------------------------------
% 0.15/0.35 % (11782)Success in time 0.032 s
%------------------------------------------------------------------------------