TSTP Solution File: HEN003-4 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN003-4 : 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 : n016.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 16:24:33 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 16 unt; 0 def)
% Number of atoms : 27 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f137,plain,
$false,
inference(subsumption_resolution,[],[f134,f12]) ).
fof(f12,plain,
zero != sF0,
inference(definition_folding,[],[f10,f11]) ).
fof(f11,plain,
divide(a,a) = sF0,
introduced(function_definition,[]) ).
fof(f10,axiom,
zero != divide(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f134,plain,
zero = sF0,
inference(resolution,[],[f131,f28]) ).
fof(f28,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| X0 = X1
| ~ less_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f131,plain,
less_equal(sF0,zero),
inference(trivial_inequality_removal,[],[f124]) ).
fof(f124,plain,
( less_equal(sF0,zero)
| zero != zero ),
inference(superposition,[],[f2,f107]) ).
fof(f107,plain,
zero = divide(sF0,zero),
inference(resolution,[],[f97,f28]) ).
fof(f97,plain,
less_equal(divide(sF0,zero),zero),
inference(superposition,[],[f90,f19]) ).
fof(f19,plain,
zero = divide(sF0,a),
inference(resolution,[],[f1,f15]) ).
fof(f15,plain,
less_equal(sF0,a),
inference(superposition,[],[f3,f11]) ).
fof(f3,axiom,
! [X0,X1] : less_equal(divide(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f1,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| divide(X0,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal1) ).
fof(f90,plain,
! [X7] : less_equal(divide(sF0,divide(X7,a)),zero),
inference(forward_demodulation,[],[f63,f17]) ).
fof(f17,plain,
! [X2,X1] : zero = divide(divide(X1,X2),X1),
inference(resolution,[],[f1,f3]) ).
fof(f63,plain,
! [X7] : less_equal(divide(sF0,divide(X7,a)),divide(divide(a,X7),a)),
inference(superposition,[],[f4,f11]) ).
fof(f4,axiom,
! [X2,X0,X1] : less_equal(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f2,axiom,
! [X0,X1] :
( divide(X0,X1) != zero
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : HEN003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 23:16:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.49 % (9142)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (9156)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.50 % (9142)First to succeed.
% 0.21/0.50 % (9141)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.50 % (9151)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.50 % (9142)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (9142)------------------------------
% 0.21/0.51 % (9142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (9142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (9142)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (9142)Memory used [KB]: 5500
% 0.21/0.51 % (9142)Time elapsed: 0.096 s
% 0.21/0.51 % (9142)Instructions burned: 4 (million)
% 0.21/0.51 % (9142)------------------------------
% 0.21/0.51 % (9142)------------------------------
% 0.21/0.51 % (9137)Success in time 0.157 s
%------------------------------------------------------------------------------