TSTP Solution File: HEN007-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 16:24:37 EDT 2022
% Result : Unsatisfiable 1.56s 0.57s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 24 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f560,plain,
$false,
inference(subsumption_resolution,[],[f559,f18]) ).
fof(f18,plain,
~ less_equal(sF0,sF1),
inference(definition_folding,[],[f15,f17,f16]) ).
fof(f16,plain,
divide(c,b) = sF0,
introduced(function_definition,[]) ).
fof(f17,plain,
divide(c,a) = sF1,
introduced(function_definition,[]) ).
fof(f15,axiom,
~ less_equal(divide(c,b),divide(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_divide_b_LE_c_divide_a) ).
fof(f559,plain,
less_equal(sF0,sF1),
inference(forward_demodulation,[],[f555,f16]) ).
fof(f555,plain,
less_equal(divide(c,b),sF1),
inference(resolution,[],[f541,f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ less_equal(divide(X0,X1),X2)
| less_equal(divide(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
fof(f541,plain,
less_equal(divide(c,sF1),b),
inference(resolution,[],[f519,f26]) ).
fof(f26,plain,
! [X7] :
( ~ less_equal(X7,a)
| less_equal(X7,b) ),
inference(resolution,[],[f12,f14]) ).
fof(f14,axiom,
less_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_LE_b) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ less_equal(X1,X2)
| ~ less_equal(X0,X1)
| less_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).
fof(f519,plain,
less_equal(divide(c,sF1),a),
inference(superposition,[],[f192,f17]) ).
fof(f192,plain,
! [X4,X5] : less_equal(divide(X4,divide(X4,X5)),X5),
inference(resolution,[],[f158,f13]) ).
fof(f158,plain,
! [X0] : less_equal(X0,X0),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f145,plain,
! [X0] :
( less_equal(X0,X0)
| zero != zero ),
inference(superposition,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HEN007-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 23:02:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (15594)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (15571)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (15567)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.56 % (15583)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 TRYING [1]
% 0.20/0.56 TRYING [2]
% 1.56/0.56 TRYING [3]
% 1.56/0.56 % (15568)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.56/0.57 % (15589)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.56/0.57 TRYING [4]
% 1.56/0.57 % (15571)First to succeed.
% 1.56/0.57 % (15571)Refutation found. Thanks to Tanya!
% 1.56/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.57 % (15571)------------------------------
% 1.56/0.57 % (15571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.57 % (15571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.57 % (15571)Termination reason: Refutation
% 1.56/0.57
% 1.56/0.57 % (15571)Memory used [KB]: 5628
% 1.56/0.57 % (15571)Time elapsed: 0.133 s
% 1.56/0.57 % (15571)Instructions burned: 18 (million)
% 1.56/0.57 % (15571)------------------------------
% 1.56/0.57 % (15571)------------------------------
% 1.56/0.57 % (15566)Success in time 0.216 s
%------------------------------------------------------------------------------