TSTP Solution File: BOO013-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n001.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 : Fri Sep 1 13:43:32 EDT 2023
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 42 ( 25 unt; 0 def)
% Number of atoms : 80 ( 4 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 86 ( 48 ~; 34 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 95 (; 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9464,plain,
$false,
inference(subsumption_resolution,[],[f9463,f7630]) ).
fof(f7630,plain,
sum(multiply(y,z),additive_identity,z),
inference(forward_demodulation,[],[f7626,f374]) ).
fof(f374,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(unit_resulting_resolution,[],[f2,f87,f22]) ).
fof(f22,axiom,
! [X0,X1,X8,X7] :
( ~ product(X0,X1,X8)
| X7 = X8
| ~ product(X0,X1,X7) ),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',multiplication_is_well_defined) ).
fof(f87,plain,
! [X0,X1] : product(X0,X1,multiply(X1,X0)),
inference(unit_resulting_resolution,[],[f2,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',commutativity_of_multiplication) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',closure_of_multiplication) ).
fof(f7626,plain,
sum(multiply(z,y),additive_identity,z),
inference(unit_resulting_resolution,[],[f87,f7344,f31]) ).
fof(f31,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X1,X0,X3)
| sum(X3,X4,X6)
| sP1(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f31_D]) ).
fof(f31_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X1,X0,X3)
| sum(X3,X4,X6) )
<=> ~ sP1(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7344,plain,
~ sP1(additive_identity,z,z,y),
inference(forward_demodulation,[],[f7191,f388]) ).
fof(f388,plain,
! [X0] : multiply(X0,multiplicative_identity) = X0,
inference(unit_resulting_resolution,[],[f87,f7,f22]) ).
fof(f7,axiom,
! [X0] : product(multiplicative_identity,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',multiplicative_identity1) ).
fof(f7191,plain,
~ sP1(additive_identity,z,multiply(z,multiplicative_identity),y),
inference(unit_resulting_resolution,[],[f87,f522,f32]) ).
fof(f32,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP1(X4,X0,X6,X1)
| ~ sP0(X5,X0,X4,X1)
| ~ product(X5,X0,X6) ),
inference(general_splitting,[],[f30,f31_D]) ).
fof(f30,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X0,X3)
| ~ product(X5,X0,X6)
| sum(X3,X4,X6)
| ~ sP0(X5,X0,X4,X1) ),
inference(general_splitting,[],[f11,f29_D]) ).
fof(f29,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,X5)
| sP0(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f29_D]) ).
fof(f29_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X2,X0,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP0(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X0,X3)
| ~ product(X5,X0,X6)
| ~ sum(X1,X2,X5)
| ~ product(X2,X0,X4)
| sum(X3,X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',distributivity3) ).
fof(f522,plain,
sP0(multiplicative_identity,z,additive_identity,y),
inference(unit_resulting_resolution,[],[f70,f27,f29]) ).
fof(f27,axiom,
product(x,z,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',product_to_additive_identity2) ).
fof(f70,plain,
sum(y,x,multiplicative_identity),
inference(unit_resulting_resolution,[],[f24,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',commutativity_of_addition) ).
fof(f24,axiom,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',sum_to_multiplicative_identity1) ).
fof(f9463,plain,
~ sum(multiply(y,z),additive_identity,z),
inference(forward_demodulation,[],[f9461,f374]) ).
fof(f9461,plain,
~ sum(multiply(z,y),additive_identity,z),
inference(unit_resulting_resolution,[],[f87,f7938,f35]) ).
fof(f35,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6)
| sP3(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6) )
<=> ~ sP3(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f7938,plain,
~ sP3(additive_identity,y,z,z),
inference(unit_resulting_resolution,[],[f352,f1285,f36]) ).
fof(f36,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP3(X4,X0,X6,X1)
| ~ sP2(X4,X0,X5,X1)
| product(X0,X5,X6) ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f34,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6)
| product(X0,X5,X6)
| ~ sP2(X4,X0,X5,X1) ),
inference(general_splitting,[],[f10,f33_D]) ).
fof(f33,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5)
| sP2(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP2(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ sum(X3,X4,X6)
| ~ sum(X1,X2,X5)
| ~ product(X0,X2,X4)
| product(X0,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',distributivity2) ).
fof(f1285,plain,
sP2(additive_identity,y,multiplicative_identity,z),
inference(unit_resulting_resolution,[],[f71,f90,f33]) ).
fof(f90,plain,
product(y,x,additive_identity),
inference(unit_resulting_resolution,[],[f26,f4]) ).
fof(f26,axiom,
product(x,y,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',product_to_additive_identity1) ).
fof(f71,plain,
sum(z,x,multiplicative_identity),
inference(unit_resulting_resolution,[],[f25,f3]) ).
fof(f25,axiom,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',sum_to_multiplicative_identity2) ).
fof(f352,plain,
~ product(y,multiplicative_identity,z),
inference(unit_resulting_resolution,[],[f28,f8,f22]) ).
fof(f8,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',multiplicative_identity2) ).
fof(f28,axiom,
y != z,
file('/export/starexec/sandbox/tmp/tmp.eEan2Fcsvl/Vampire---4.8_10965',prove_both_inverse_are_equal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n001.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 : Wed Aug 30 16:48:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.41 % (11074)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (11077)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.42 % (11076)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.42 % (11079)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (11078)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 Vampire---4 for (569ds/0Mi)
% 0.21/0.42 % (11080)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 Vampire---4 for (531ds/0Mi)
% 0.21/0.42 % (11081)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 Vampire---4 for (522ds/0Mi)
% 0.21/0.42 % (11082)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 Vampire---4 for (497ds/0Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.44 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.50 TRYING [4]
% 0.21/0.51 TRYING [5]
% 0.21/0.53 % (11082)First to succeed.
% 0.21/0.53 % (11082)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.53 % (11082)------------------------------
% 0.21/0.53 % (11082)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.53 % (11082)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.53 % (11082)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (11082)Memory used [KB]: 3582
% 0.21/0.53 % (11082)Time elapsed: 0.115 s
% 0.21/0.53 % (11082)------------------------------
% 0.21/0.53 % (11082)------------------------------
% 0.21/0.53 % (11074)Success in time 0.174 s
% 0.21/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------