TSTP Solution File: HEN003-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN003-2 : 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 : n027.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 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 55 ( 9 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 55 ( 28 ~; 27 |; 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 : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f308,plain,
$false,
inference(resolution,[],[f293,f12]) ).
fof(f12,axiom,
~ quotient(x,x,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_divide_x_is_zero) ).
fof(f293,plain,
! [X4] : quotient(X4,X4,zero),
inference(superposition,[],[f8,f272]) ).
fof(f272,plain,
! [X4] : zero = divide(X4,X4),
inference(resolution,[],[f251,f21]) ).
fof(f21,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(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f251,plain,
! [X5] : less_equal(divide(X5,X5),zero),
inference(resolution,[],[f232,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(f232,plain,
! [X10] : quotient(divide(X10,X10),zero,zero),
inference(superposition,[],[f8,f219]) ).
fof(f219,plain,
! [X6] : zero = divide(divide(X6,X6),zero),
inference(subsumption_resolution,[],[f215,f5]) ).
fof(f215,plain,
! [X6] :
( zero = divide(divide(X6,X6),zero)
| ~ less_equal(zero,divide(divide(X6,X6),zero)) ),
inference(resolution,[],[f210,f6]) ).
fof(f210,plain,
! [X1] : less_equal(divide(divide(X1,X1),zero),zero),
inference(resolution,[],[f202,f8]) ).
fof(f202,plain,
! [X0,X1] :
( ~ quotient(X0,X0,X1)
| less_equal(divide(X1,zero),zero) ),
inference(superposition,[],[f140,f52]) ).
fof(f52,plain,
! [X2,X3] : zero = divide(divide(X2,X3),X2),
inference(resolution,[],[f47,f20]) ).
fof(f20,plain,
! [X3,X4] : less_equal(divide(X3,X4),X3),
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(f47,plain,
! [X2,X1] :
( ~ less_equal(X1,X2)
| zero = divide(X1,X2) ),
inference(resolution,[],[f34,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(f34,plain,
! [X8,X9,X7] :
( ~ quotient(X8,X9,X7)
| divide(X8,X9) = X7 ),
inference(resolution,[],[f9,f8]) ).
fof(f9,axiom,
! [X2,X0,X1,X8] :
( ~ quotient(X0,X1,X8)
| X2 = X8
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).
fof(f140,plain,
! [X10,X8,X9] :
( less_equal(divide(X10,zero),divide(divide(X8,zero),X9))
| ~ quotient(X8,X9,X10) ),
inference(resolution,[],[f109,f8]) ).
fof(f109,plain,
! [X10,X11,X9,X12] :
( ~ quotient(X9,zero,X10)
| ~ quotient(X9,X12,X11)
| less_equal(divide(X11,zero),divide(X10,X12)) ),
inference(resolution,[],[f89,f11]) ).
fof(f11,axiom,
! [X0] : quotient(zero,X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_divide_anything_is_zero) ).
fof(f89,plain,
! [X26,X27,X24,X22,X25,X23] :
( ~ quotient(X27,X25,X23)
| ~ quotient(X26,X27,X24)
| less_equal(divide(X22,X23),divide(X24,X25))
| ~ quotient(X26,X25,X22) ),
inference(resolution,[],[f84,f8]) ).
fof(f84,plain,
! [X31,X28,X29,X26,X27,X32,X30] :
( ~ quotient(X28,X29,X31)
| less_equal(divide(X32,X30),X31)
| ~ quotient(X26,X29,X32)
| ~ quotient(X27,X29,X30)
| ~ quotient(X26,X27,X28) ),
inference(resolution,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ quotient(X5,X4,X6)
| ~ quotient(X0,X1,X3)
| ~ quotient(X1,X2,X4)
| ~ quotient(X3,X2,X7)
| ~ quotient(X0,X2,X5)
| less_equal(X6,X7) ),
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
% 0.03/0.12 % Problem : HEN003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % 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 : n027.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 23:09:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (9499)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)
% 0.20/0.50 % (9526)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 % (9513)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.50 % (9502)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)
% 0.20/0.50 TRYING [4]
% 0.20/0.51 % (9511)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (9527)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)
% 0.20/0.51 TRYING [5]
% 0.20/0.51 % (9516)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)
% 0.20/0.51 % (9512)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (9504)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)
% 0.20/0.52 % (9505)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)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 TRYING [4]
% 0.20/0.52 % (9529)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52 % (9528)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)
% 0.20/0.52 % (9510)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (9521)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (9500)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)
% 0.20/0.53 % (9500)Refutation not found, incomplete strategy% (9500)------------------------------
% 0.20/0.53 % (9500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9500)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (9500)Memory used [KB]: 5373
% 0.20/0.53 % (9500)Time elapsed: 0.123 s
% 0.20/0.53 % (9500)Instructions burned: 1 (million)
% 0.20/0.53 % (9500)------------------------------
% 0.20/0.53 % (9500)------------------------------
% 0.20/0.53 % (9503)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (9515)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)
% 0.20/0.53 % (9513)First to succeed.
% 0.20/0.53 % (9501)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (9513)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (9513)------------------------------
% 0.20/0.53 % (9513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (9513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (9513)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (9513)Memory used [KB]: 5500
% 0.20/0.53 % (9513)Time elapsed: 0.113 s
% 0.20/0.53 % (9513)Instructions burned: 13 (million)
% 0.20/0.53 % (9513)------------------------------
% 0.20/0.53 % (9513)------------------------------
% 0.20/0.53 % (9496)Success in time 0.182 s
%------------------------------------------------------------------------------