TSTP Solution File: HEN003-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN003-1 : 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 : n029.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 15 unt; 0 def)
% Number of atoms : 55 ( 10 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 53 ( 27 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f193,plain,
$false,
inference(resolution,[],[f178,f10]) ).
fof(f10,axiom,
~ quotient(x,x,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f178,plain,
! [X0] : quotient(X0,X0,zero),
inference(superposition,[],[f8,f154]) ).
fof(f154,plain,
! [X9] : zero = divide(X9,X9),
inference(subsumption_resolution,[],[f151,f5]) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).
fof(f151,plain,
! [X9] :
( ~ less_equal(zero,divide(X9,X9))
| zero = divide(X9,X9) ),
inference(resolution,[],[f133,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X0,X1)
| ~ less_equal(X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f133,plain,
! [X0] : less_equal(divide(X0,X0),zero),
inference(resolution,[],[f129,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f129,plain,
! [X9] : quotient(divide(X9,X9),zero,zero),
inference(superposition,[],[f8,f111]) ).
fof(f111,plain,
! [X0] : zero = divide(divide(X0,X0),zero),
inference(resolution,[],[f101,f15]) ).
fof(f15,plain,
! [X0] :
( ~ less_equal(X0,zero)
| zero = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f101,plain,
! [X0] : less_equal(divide(divide(X0,X0),zero),zero),
inference(resolution,[],[f97,f80]) ).
fof(f80,plain,
! [X8,X7] : quotient(divide(X7,X8),X7,zero),
inference(superposition,[],[f8,f58]) ).
fof(f58,plain,
! [X2,X3] : zero = divide(divide(X2,X3),X2),
inference(resolution,[],[f35,f13]) ).
fof(f13,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| less_equal(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).
fof(f35,plain,
! [X2,X3] :
( ~ less_equal(X2,X3)
| zero = divide(X2,X3) ),
inference(resolution,[],[f17,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ quotient(X0,X1,X2)
| divide(X0,X1) = X2 ),
inference(resolution,[],[f9,f8]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X2)
| X2 = X8
| ~ quotient(X0,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f97,plain,
! [X11,X12,X13] :
( ~ quotient(divide(X11,zero),X12,X13)
| less_equal(divide(divide(X11,X12),zero),X13) ),
inference(resolution,[],[f67,f25]) ).
fof(f25,plain,
! [X1] : quotient(zero,X1,zero),
inference(superposition,[],[f8,f23]) ).
fof(f23,plain,
! [X0] : zero = divide(zero,X0),
inference(resolution,[],[f15,f13]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( ~ quotient(X1,X2,X4)
| ~ quotient(divide(X0,X1),X2,X3)
| less_equal(divide(divide(X0,X2),X4),X3) ),
inference(resolution,[],[f52,f8]) ).
fof(f52,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ quotient(X3,X1,X5)
| ~ quotient(divide(X3,X0),X1,X4)
| ~ quotient(X0,X1,X2)
| less_equal(divide(X5,X2),X4) ),
inference(resolution,[],[f19,f8]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ quotient(X6,X5,X3)
| ~ quotient(X5,X4,X1)
| ~ quotient(X3,X4,X2)
| ~ quotient(X6,X4,X0)
| less_equal(divide(X0,X1),X2) ),
inference(resolution,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| less_equal(X6,X7)
| ~ quotient(X3,X2,X7)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X1,X3)
| ~ quotient(X0,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).
fof(f8,axiom,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : HEN003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % 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 : n029.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 23:04:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (26449)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.49 % (26442)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 (2999ds/68Mi)
% 0.19/0.50 % (26435)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (26434)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (26428)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)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (26443)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 (2999ds/75Mi)
% 0.19/0.50 % (26429)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)
% 0.19/0.50 % (26429)Refutation not found, incomplete strategy% (26429)------------------------------
% 0.19/0.50 % (26429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26429)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (26429)Memory used [KB]: 5373
% 0.19/0.50 % (26429)Time elapsed: 0.108 s
% 0.19/0.50 % (26429)Instructions burned: 2 (million)
% 0.19/0.50 % (26429)------------------------------
% 0.19/0.50 % (26429)------------------------------
% 0.19/0.50 % (26452)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 % (26432)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (26440)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (26450)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)
% 0.19/0.51 % (26436)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (26447)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (26436)Instruction limit reached!
% 0.19/0.52 % (26436)------------------------------
% 0.19/0.52 % (26436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26437)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (26443)First to succeed.
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (26445)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.52 % (26455)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)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (26431)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)
% 0.19/0.52 % (26457)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (26456)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (26436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26436)Termination reason: Unknown
% 0.19/0.52 % (26436)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26436)Memory used [KB]: 5373
% 0.19/0.52 % (26436)Time elapsed: 0.123 s
% 0.19/0.52 % (26436)Instructions burned: 3 (million)
% 0.19/0.52 % (26436)------------------------------
% 0.19/0.52 % (26436)------------------------------
% 0.19/0.52 % (26435)Instruction limit reached!
% 0.19/0.52 % (26435)------------------------------
% 0.19/0.52 % (26435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26433)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (26454)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 (2999ds/68Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.53 % (26443)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (26443)------------------------------
% 0.19/0.53 % (26443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26443)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (26443)Memory used [KB]: 1023
% 0.19/0.53 % (26443)Time elapsed: 0.115 s
% 0.19/0.53 % (26443)Instructions burned: 8 (million)
% 0.19/0.53 % (26443)------------------------------
% 0.19/0.53 % (26443)------------------------------
% 0.19/0.53 % (26427)Success in time 0.181 s
%------------------------------------------------------------------------------