TSTP Solution File: BOO017-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : BOO017-1 : 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 : n025.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 : Sun May 5 04:42:50 EDT 2024
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of formulae : 39 ( 21 unt; 0 def)
% Number of atoms : 79 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 46 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17971,plain,
$false,
inference(unit_resulting_resolution,[],[f5,f6709,f3882,f52]) ).
fof(f52,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP13(X4,X0,X6,X1)
| ~ sP12(X4,X0,X5,X1)
| ~ sum(X5,X0,X6) ),
inference(general_splitting,[],[f50,f51_D]) ).
fof(f51,plain,
! [X3,X0,X1,X6,X4] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6)
| sP13(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f51_D]) ).
fof(f51_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ sum(X1,X0,X3)
| product(X3,X4,X6) )
<=> ~ sP13(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f50,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sum(X5,X0,X6)
| ~ sum(X1,X0,X3)
| product(X3,X4,X6)
| ~ sP12(X4,X0,X5,X1) ),
inference(general_splitting,[],[f15,f49_D]) ).
fof(f49,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4)
| sP12(X4,X0,X5,X1) ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
! [X1,X5,X0,X4] :
( ! [X2] :
( ~ product(X1,X2,X5)
| ~ sum(X2,X0,X4) )
<=> ~ sP12(X4,X0,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f15,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X1,X2,X5)
| ~ sum(X5,X0,X6)
| ~ sum(X2,X0,X4)
| ~ sum(X1,X0,X3)
| product(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity7) ).
fof(f3882,plain,
sP13(z,x,x,additive_identity),
inference(unit_resulting_resolution,[],[f24,f5,f51]) ).
fof(f24,axiom,
~ product(x,z,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_product) ).
fof(f6709,plain,
sP12(z,x,additive_identity,additive_identity),
inference(superposition,[],[f3383,f6359]) ).
fof(f6359,plain,
! [X0] : additive_identity = multiply(X0,additive_identity),
inference(unit_resulting_resolution,[],[f6,f4607,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(f4607,plain,
! [X0] : sum(multiply(X0,additive_identity),additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f2,f4457,f27]) ).
fof(f27,plain,
! [X3,X0,X1,X6,X4] :
( ~ product(X0,X1,X3)
| sum(X3,X4,X6)
| sP1(X4,X0,X6,X1) ),
inference(cnf_transformation,[],[f27_D]) ).
fof(f27_D,plain,
! [X1,X6,X0,X4] :
( ! [X3] :
( ~ product(X0,X1,X3)
| sum(X3,X4,X6) )
<=> ~ sP1(X4,X0,X6,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4457,plain,
! [X0] : ~ sP1(additive_identity,X0,additive_identity,additive_identity),
inference(forward_demodulation,[],[f4456,f285]) ).
fof(f285,plain,
! [X0] : additive_identity = multiply(X0,inverse(X0)),
inference(unit_resulting_resolution,[],[f19,f78,f22]) ).
fof(f22,axiom,
! [X0,X1,X8,X7] :
( ~ product(X0,X1,X8)
| X7 = X8
| ~ product(X0,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplication_is_well_defined) ).
fof(f78,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/benchmark/theBenchmark.p',commutativity_of_multiplication) ).
fof(f19,axiom,
! [X0] : product(inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse1) ).
fof(f4456,plain,
! [X0] : ~ sP1(multiply(X0,inverse(X0)),X0,additive_identity,additive_identity),
inference(forward_demodulation,[],[f4347,f287]) ).
fof(f287,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(unit_resulting_resolution,[],[f2,f78,f22]) ).
fof(f4347,plain,
! [X0] : ~ sP1(multiply(inverse(X0),X0),X0,additive_identity,additive_identity),
inference(unit_resulting_resolution,[],[f20,f436,f28]) ).
fof(f28,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP1(X4,X0,X6,X1)
| ~ sP0(X5,X0,X4,X1)
| ~ product(X0,X5,X6) ),
inference(general_splitting,[],[f26,f27_D]) ).
fof(f26,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ product(X0,X5,X6)
| sum(X3,X4,X6)
| ~ sP0(X5,X0,X4,X1) ),
inference(general_splitting,[],[f9,f25_D]) ).
fof(f25,plain,
! [X2,X0,X1,X4,X5] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5)
| sP0(X5,X0,X4,X1) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X1,X4,X0,X5] :
( ! [X2] :
( ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5) )
<=> ~ sP0(X5,X0,X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ product(X0,X1,X3)
| ~ product(X0,X5,X6)
| ~ product(X0,X2,X4)
| ~ sum(X1,X2,X5)
| sum(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f436,plain,
! [X0,X1] : sP0(X0,X1,multiply(X0,X1),additive_identity),
inference(unit_resulting_resolution,[],[f5,f78,f25]) ).
fof(f20,axiom,
! [X0] : product(X0,inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_inverse2) ).
fof(f2,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f3383,plain,
! [X0] : sP12(z,x,multiply(y,X0),X0),
inference(unit_resulting_resolution,[],[f62,f78,f49]) ).
fof(f62,plain,
sum(y,x,z),
inference(unit_resulting_resolution,[],[f23,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(f23,axiom,
sum(x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_plus_y) ).
fof(f5,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO017-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.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 : Fri May 3 18:46:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (32719)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (32724)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)
% 0.14/0.37 % (32722)WARNING: value z3 for option sas not known
% 0.14/0.37 % (32720)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (32721)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (32723)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (32722)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)
% 0.14/0.37 % (32725)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 % (32726)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)
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [4]
% 0.21/0.46 TRYING [4]
% 0.21/0.46 TRYING [5]
% 0.21/0.52 % (32726)First to succeed.
% 0.21/0.52 % (32726)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32719"
% 0.21/0.52 % (32726)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (32726)------------------------------
% 0.21/0.52 % (32726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.52 % (32726)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (32726)Memory used [KB]: 3134
% 0.21/0.52 % (32726)Time elapsed: 0.137 s
% 0.21/0.52 % (32726)Instructions burned: 422 (million)
% 0.21/0.52 % (32719)Success in time 0.165 s
%------------------------------------------------------------------------------