TSTP Solution File: BOO012-3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO012-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : Mon May 20 18:58:48 EDT 2024
% Result : Unsatisfiable 21.48s 3.41s
% Output : Refutation 21.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 21 unt; 0 def)
% Number of atoms : 80 ( 3 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 89 ( 49 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 114 ( 114 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f327254,plain,
$false,
inference(unit_resulting_resolution,[],[f59223,f83,f117000,f46]) ).
fof(f46,plain,
! [X3,X0,X1,X6,X4] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6)
| sP5(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6) )
<=> ~ sP5(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f117000,plain,
~ product(add(x,inverse(inverse(x))),multiplicative_identity,x),
inference(unit_resulting_resolution,[],[f83,f63269,f50]) ).
fof(f50,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X3,X4,X6)
| ~ sum(X0,X1,X3)
| sP7(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X3,X4,X6)
| ~ sum(X0,X1,X3) )
<=> ~ sP7(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f63269,plain,
~ sP7(multiplicative_identity,inverse(inverse(x)),x,x),
inference(unit_resulting_resolution,[],[f239,f29765,f51]) ).
fof(f51,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP7(X4,X0,X6,X1)
| ~ sP6(X4,X0,X5,X1)
| sum(X0,X5,X6) ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f49,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X3)
| ~ product(X3,X4,X6)
| sum(X0,X5,X6)
| ~ sP6(X4,X0,X5,X1) ),
inference(general_splitting,[],[f14,f48_D]) ).
fof(f48,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| sP6(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4) )
<=> ~ sP6(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X0,X1,X3)
| ~ product(X3,X4,X6)
| ~ product(X1,X2,X5)
| ~ sum(X0,X2,X4)
| sum(X0,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity6) ).
fof(f29765,plain,
! [X0] : sP6(multiplicative_identity,inverse(inverse(X0)),additive_identity,X0),
inference(unit_resulting_resolution,[],[f17,f20,f48]) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f17,axiom,
! [X0] : sum(inverse(X0),X0,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_inverse1) ).
fof(f239,plain,
~ sum(inverse(inverse(x)),additive_identity,x),
inference(unit_resulting_resolution,[],[f35,f6,f21]) ).
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(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f35,axiom,
x != inverse(inverse(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_an_involution) ).
fof(f83,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(unit_resulting_resolution,[],[f1,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f1,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f59223,plain,
! [X0] : ~ sP5(multiplicative_identity,X0,X0,inverse(inverse(X0))),
inference(forward_demodulation,[],[f58407,f310]) ).
fof(f310,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(unit_resulting_resolution,[],[f5,f83,f21]) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
fof(f58407,plain,
! [X0] : ~ sP5(multiplicative_identity,add(X0,additive_identity),add(X0,additive_identity),inverse(inverse(add(X0,additive_identity)))),
inference(unit_resulting_resolution,[],[f201,f25777,f47]) ).
fof(f47,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP5(X4,X0,X6,X1)
| ~ sP4(X5,X0,X4,X1)
| ~ sum(X5,X0,X6) ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X1,X0,X3)
| ~ sum(X5,X0,X6)
| product(X3,X4,X6)
| ~ sP4(X5,X0,X4,X1) ),
inference(general_splitting,[],[f15,f44_D]) ).
fof(f44,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| sP4(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4) )
<=> ~ sP4(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sum(X1,X0,X3)
| ~ sum(X5,X0,X6)
| ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| product(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity7) ).
fof(f25777,plain,
! [X0] : sP4(additive_identity,X0,multiplicative_identity,inverse(inverse(X0))),
inference(unit_resulting_resolution,[],[f17,f19,f44]) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f201,plain,
! [X0,X1] : sum(X0,add(X1,X0),add(X1,X0)),
inference(unit_resulting_resolution,[],[f176,f3]) ).
fof(f176,plain,
! [X0,X1] : sum(add(X0,X1),X1,add(X0,X1)),
inference(unit_resulting_resolution,[],[f173,f27]) ).
fof(f27,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| sum(X0,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_product_dual1) ).
fof(f173,plain,
! [X0,X1] : product(add(X0,X1),X1,X1),
inference(unit_resulting_resolution,[],[f154,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f154,plain,
! [X0,X1] : product(X0,add(X1,X0),X0),
inference(unit_resulting_resolution,[],[f83,f28]) ).
fof(f28,axiom,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| product(X0,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_product_dual2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO012-3 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.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 : Sat May 18 14:21:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (7672)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (7675)WARNING: value z3 for option sas not known
% 0.15/0.38 % (7673)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (7676)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (7674)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 % (7675)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 % (7677)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 % (7678)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 % (7679)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 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [3]
% 0.22/0.47 TRYING [5]
% 0.22/0.49 TRYING [4]
% 2.02/0.64 TRYING [6]
% 2.47/0.71 TRYING [5]
% 6.59/1.31 TRYING [7]
% 7.52/1.42 TRYING [6]
% 7.74/1.48 TRYING [1]
% 7.74/1.48 TRYING [2]
% 7.74/1.48 TRYING [3]
% 7.74/1.49 TRYING [4]
% 8.31/1.54 TRYING [5]
% 9.35/1.71 TRYING [6]
% 13.92/2.37 TRYING [7]
% 14.92/2.52 TRYING [8]
% 16.63/2.72 TRYING [7]
% 20.90/3.40 % (7679)First to succeed.
% 20.90/3.40 % (7679)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7672"
% 21.48/3.41 % (7679)Refutation found. Thanks to Tanya!
% 21.48/3.41 % SZS status Unsatisfiable for theBenchmark
% 21.48/3.41 % SZS output start Proof for theBenchmark
% See solution above
% 21.48/3.41 % (7679)------------------------------
% 21.48/3.41 % (7679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 21.48/3.41 % (7679)Termination reason: Refutation
% 21.48/3.41
% 21.48/3.41 % (7679)Memory used [KB]: 38397
% 21.48/3.41 % (7679)Time elapsed: 3.025 s
% 21.48/3.41 % (7679)Instructions burned: 8800 (million)
% 21.48/3.41 % (7672)Success in time 3.023 s
%------------------------------------------------------------------------------