TSTP Solution File: BOO013-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO013-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Tue Apr 30 10:42:03 EDT 2024
% Result : Unsatisfiable 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 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 : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f163,plain,
$false,
inference(subsumption_resolution,[],[f162,f19]) ).
fof(f19,axiom,
b != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_is_a) ).
fof(f162,plain,
b = c,
inference(forward_demodulation,[],[f161,f116]) ).
fof(f116,plain,
b = add(b,c),
inference(superposition,[],[f103,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f103,plain,
b = add(c,b),
inference(forward_demodulation,[],[f91,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
fof(f91,plain,
add(additive_identity,b) = add(c,b),
inference(superposition,[],[f83,f18]) ).
fof(f18,axiom,
additive_identity = multiply(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_a_additive_identity) ).
fof(f83,plain,
! [X0] : add(multiply(a,X0),b) = add(X0,b),
inference(forward_demodulation,[],[f66,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f66,plain,
! [X0] : add(multiply(a,X0),b) = multiply(multiplicative_identity,add(X0,b)),
inference(superposition,[],[f3,f15]) ).
fof(f15,axiom,
multiplicative_identity = add(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_multiplicative_identity) ).
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(f161,plain,
c = add(b,c),
inference(forward_demodulation,[],[f149,f14]) ).
fof(f149,plain,
add(b,c) = add(additive_identity,c),
inference(superposition,[],[f84,f17]) ).
fof(f17,axiom,
additive_identity = multiply(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_a_additive_identity) ).
fof(f84,plain,
! [X0] : add(multiply(a,X0),c) = add(X0,c),
inference(forward_demodulation,[],[f67,f12]) ).
fof(f67,plain,
! [X0] : add(multiply(a,X0),c) = multiply(multiplicative_identity,add(X0,c)),
inference(superposition,[],[f3,f16]) ).
fof(f16,axiom,
multiplicative_identity = add(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_and_multiplicative_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO013-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 01:54:03 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (28862)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (28863)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (28868)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)
% 0.15/0.38 % (28864)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (28865)WARNING: value z3 for option sas not known
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (28867)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)
% 0.15/0.38 % (28869)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)
% 0.15/0.38 % (28865)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)
% 0.15/0.38 % (28866)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.21/0.39 % (28869)First to succeed.
% 0.21/0.39 TRYING [3]
% 0.21/0.39 % (28869)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 % (28869)------------------------------
% 0.21/0.39 % (28869)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (28869)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (28869)Memory used [KB]: 846
% 0.21/0.39 % (28869)Time elapsed: 0.008 s
% 0.21/0.39 % (28869)Instructions burned: 10 (million)
% 0.21/0.39 % (28869)------------------------------
% 0.21/0.39 % (28869)------------------------------
% 0.21/0.39 % (28862)Success in time 0.033 s
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