TSTP Solution File: BOO005-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO005-1 : 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 : n028.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 10:41:58 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 29 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2392,plain,
$false,
inference(resolution,[],[f2249,f23]) ).
fof(f23,axiom,
~ sum(x,multiplicative_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equations) ).
fof(f2249,plain,
! [X0] : sum(X0,multiplicative_identity,multiplicative_identity),
inference(superposition,[],[f1,f2226]) ).
fof(f2226,plain,
! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
inference(subsumption_resolution,[],[f2197,f18]) ).
fof(f18,axiom,
! [X0] : sum(X0,inverse(X0),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f2197,plain,
! [X0] :
( ~ sum(X0,inverse(X0),multiplicative_identity)
| multiplicative_identity = add(X0,multiplicative_identity) ),
inference(resolution,[],[f2168,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ sum(X1,inverse(X1),X0)
| multiplicative_identity = X0 ),
inference(resolution,[],[f21,f18]) ).
fof(f21,axiom,
! [X0,X1,X8,X7] :
( ~ sum(X0,X1,X8)
| X7 = X8
| ~ sum(X0,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f2168,plain,
! [X0,X1] :
( sum(X0,X1,add(X0,multiplicative_identity))
| ~ sum(X0,X1,multiplicative_identity) ),
inference(resolution,[],[f1485,f1]) ).
fof(f1485,plain,
! [X2,X0,X1] :
( ~ sum(X0,multiplicative_identity,X1)
| ~ sum(X0,X2,multiplicative_identity)
| sum(X0,X2,X1) ),
inference(resolution,[],[f489,f8]) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity2) ).
fof(f489,plain,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ sum(X3,X0,multiplicative_identity)
| sum(X3,X2,X4) ),
inference(resolution,[],[f14,f7]) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_identity1) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X3,X4,X6)
| ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| ~ sum(X0,X1,X3)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity6) ).
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : BOO005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n028.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 02:43:59 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % (27011)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.30 % (27014)WARNING: value z3 for option sas not known
% 0.09/0.31 % (27012)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.09/0.31 % (27015)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.31 % (27013)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.09/0.31 % (27014)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)
% 0.09/0.31 % (27018)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)
% 0.09/0.31 % (27017)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)
% 0.09/0.31 TRYING [1]
% 0.09/0.31 TRYING [2]
% 0.14/0.31 TRYING [3]
% 0.14/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 % (27016)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)
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [4]
% 0.14/0.35 TRYING [4]
% 0.14/0.36 TRYING [5]
% 0.14/0.36 % (27014)First to succeed.
% 0.14/0.37 % (27014)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (27014)------------------------------
% 0.14/0.37 % (27014)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.37 % (27014)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (27014)Memory used [KB]: 1782
% 0.14/0.37 % (27014)Time elapsed: 0.060 s
% 0.14/0.37 % (27014)Instructions burned: 170 (million)
% 0.14/0.37 % (27014)------------------------------
% 0.14/0.37 % (27014)------------------------------
% 0.14/0.37 % (27011)Success in time 0.069 s
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