TSTP Solution File: HEN004-5 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN004-5 : 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 : n008.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 16:24:34 EDT 2022
% Result : Unsatisfiable 1.72s 0.58s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(subsumption_resolution,[],[f132,f27]) ).
fof(f27,plain,
zero != divide(a,sF0),
inference(subsumption_resolution,[],[f26,f9]) ).
fof(f9,plain,
a != sF0,
inference(definition_folding,[],[f7,f8]) ).
fof(f8,plain,
divide(a,zero) = sF0,
introduced(function_definition,[]) ).
fof(f7,axiom,
a != divide(a,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_zero_is_x) ).
fof(f26,plain,
( zero != divide(a,sF0)
| a = sF0 ),
inference(trivial_inequality_removal,[],[f24]) ).
fof(f24,plain,
( zero != zero
| zero != divide(a,sF0)
| a = sF0 ),
inference(superposition,[],[f4,f14]) ).
fof(f14,plain,
zero = divide(sF0,a),
inference(superposition,[],[f1,f8]) ).
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
fof(f4,axiom,
! [X0,X1] :
( zero != divide(X1,X0)
| divide(X0,X1) != zero
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divide_and_equal) ).
fof(f132,plain,
zero = divide(a,sF0),
inference(trivial_inequality_removal,[],[f125]) ).
fof(f125,plain,
( zero = divide(a,sF0)
| zero != zero ),
inference(superposition,[],[f20,f113]) ).
fof(f113,plain,
zero = divide(divide(a,sF0),zero),
inference(trivial_inequality_removal,[],[f106]) ).
fof(f106,plain,
( zero = divide(divide(a,sF0),zero)
| zero != zero ),
inference(superposition,[],[f20,f89]) ).
fof(f89,plain,
zero = divide(divide(divide(a,sF0),zero),zero),
inference(superposition,[],[f61,f6]) ).
fof(f6,axiom,
! [X0] : zero = divide(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f61,plain,
! [X13] : zero = divide(divide(divide(a,X13),zero),divide(sF0,X13)),
inference(forward_demodulation,[],[f49,f3]) ).
fof(f3,axiom,
! [X0] : zero = divide(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f49,plain,
! [X13] : zero = divide(divide(divide(a,X13),divide(zero,X13)),divide(sF0,X13)),
inference(superposition,[],[f2,f8]) ).
fof(f2,axiom,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X2),divide(X1,X2)),divide(divide(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f20,plain,
! [X4] :
( zero != divide(X4,zero)
| zero = X4 ),
inference(trivial_inequality_removal,[],[f18]) ).
fof(f18,plain,
! [X4] :
( zero != divide(X4,zero)
| zero = X4
| zero != zero ),
inference(superposition,[],[f4,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : HEN004-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 23:00:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.41/0.55 % (9674)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 (3000ds/498Mi)
% 1.41/0.55 % (9658)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.41/0.55 % (9666)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 1.41/0.56 % (9667)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 1.72/0.56 % (9659)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 1.72/0.56 % (9667)First to succeed.
% 1.72/0.56 TRYING [1]
% 1.72/0.56 TRYING [2]
% 1.72/0.57 TRYING [3]
% 1.72/0.57 % (9660)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 1.72/0.57 % (9659)Instruction limit reached!
% 1.72/0.57 % (9659)------------------------------
% 1.72/0.57 % (9659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57 % (9675)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 1.72/0.57 % (9659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57 % (9659)Termination reason: Unknown
% 1.72/0.57 % (9659)Termination phase: Saturation
% 1.72/0.57 TRYING [4]
% 1.72/0.57 % (9668)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 (3000ds/99Mi)
% 1.72/0.58 % (9676)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 1.72/0.58
% 1.72/0.58 % (9659)Memory used [KB]: 5500
% 1.72/0.58 % (9659)Time elapsed: 0.155 s
% 1.72/0.58 % (9659)Instructions burned: 7 (million)
% 1.72/0.58 % (9659)------------------------------
% 1.72/0.58 % (9659)------------------------------
% 1.72/0.58 % (9667)Refutation found. Thanks to Tanya!
% 1.72/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.72/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.58 % (9667)------------------------------
% 1.72/0.58 % (9667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (9667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (9667)Termination reason: Refutation
% 1.72/0.58
% 1.72/0.58 % (9667)Memory used [KB]: 1023
% 1.72/0.58 % (9667)Time elapsed: 0.154 s
% 1.72/0.58 % (9667)Instructions burned: 7 (million)
% 1.72/0.58 % (9667)------------------------------
% 1.72/0.58 % (9667)------------------------------
% 1.72/0.58 % (9651)Success in time 0.238 s
%------------------------------------------------------------------------------