TSTP Solution File: HEN012-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : HEN012-1 : 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 : 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 12:10:11 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 61 ( 3 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 38 ~; 28 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f385,plain,
$false,
inference(resolution,[],[f325,f21]) ).
fof(f21,plain,
~ quotient(x,x,zero),
inference(unit_resulting_resolution,[],[f10,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f10,axiom,
~ less_equal(x,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_X_less_than_or_equal_to_X) ).
fof(f325,plain,
! [X0] : quotient(X0,X0,zero),
inference(superposition,[],[f8,f318]) ).
fof(f318,plain,
! [X0] : zero = divide(X0,X0),
inference(unit_resulting_resolution,[],[f5,f281,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f281,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(unit_resulting_resolution,[],[f262,f2]) ).
fof(f262,plain,
! [X0] : quotient(divide(X0,X0),zero,zero),
inference(superposition,[],[f8,f250]) ).
fof(f250,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(unit_resulting_resolution,[],[f5,f244,f6]) ).
fof(f244,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(unit_resulting_resolution,[],[f8,f238,f11]) ).
fof(f11,plain,
! [X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7)
| sP0(X5,X4,X7) ),
inference(cnf_transformation,[],[f11_D]) ).
fof(f11_D,plain,
! [X7,X4,X5] :
( ! [X6] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7) )
<=> ~ sP0(X5,X4,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f238,plain,
! [X0] : ~ sP0(divide(X0,X0),zero,zero),
inference(unit_resulting_resolution,[],[f34,f184,f16]) ).
fof(f16,plain,
! [X2,X1,X7,X4,X5] :
( ~ sP2(X7,X5,X2,X1)
| ~ sP0(X5,X4,X7)
| ~ quotient(X1,X2,X4) ),
inference(general_splitting,[],[f14,f15_D]) ).
fof(f15,plain,
! [X2,X0,X1,X7,X5] :
( ~ sP1(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5)
| sP2(X7,X5,X2,X1) ),
inference(cnf_transformation,[],[f15_D]) ).
fof(f15_D,plain,
! [X1,X2,X5,X7] :
( ! [X0] :
( ~ sP1(X1,X0,X2,X7)
| ~ quotient(X0,X2,X5) )
<=> ~ sP2(X7,X5,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
! [X2,X0,X1,X7,X4,X5] :
( ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ sP0(X5,X4,X7)
| ~ sP1(X1,X0,X2,X7) ),
inference(general_splitting,[],[f12,f13_D]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X7] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3)
| sP1(X1,X0,X2,X7) ),
inference(cnf_transformation,[],[f13_D]) ).
fof(f13_D,plain,
! [X7,X2,X0,X1] :
( ! [X3] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X1,X3) )
<=> ~ sP1(X1,X0,X2,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ quotient(X3,X2,X7)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3)
| ~ sP0(X5,X4,X7) ),
inference(general_splitting,[],[f4,f11_D]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_equal(X6,X7)
| ~ quotient(X3,X2,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X2,X5)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
fof(f184,plain,
! [X0,X1] : sP2(zero,divide(X0,X0),X0,X1),
inference(unit_resulting_resolution,[],[f8,f136,f15]) ).
fof(f136,plain,
! [X0,X1] : sP1(X0,X1,X1,zero),
inference(unit_resulting_resolution,[],[f8,f34,f13]) ).
fof(f34,plain,
! [X0,X1] : quotient(divide(X0,X1),X0,zero),
inference(unit_resulting_resolution,[],[f28,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f28,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(unit_resulting_resolution,[],[f8,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_existence) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.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 : Mon Apr 29 21:35:03 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (6476)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6477)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 % (6479)WARNING: value z3 for option sas not known
% 0.14/0.38 % (6478)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (6481)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)
% 0.14/0.38 % (6480)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (6479)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)
% 0.14/0.38 % (6483)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)
% 0.14/0.38 % (6482)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 [4]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 % (6483)First to succeed.
% 0.14/0.39 % (6483)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (6483)------------------------------
% 0.14/0.39 % (6483)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.39 % (6483)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (6483)Memory used [KB]: 867
% 0.14/0.39 % (6483)Time elapsed: 0.009 s
% 0.14/0.39 % (6483)Instructions burned: 11 (million)
% 0.14/0.39 % (6483)------------------------------
% 0.14/0.39 % (6483)------------------------------
% 0.14/0.39 % (6476)Success in time 0.025 s
%------------------------------------------------------------------------------