TSTP Solution File: NUM292+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM292+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n018.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 18:03:57 EDT 2022
% Result : Theorem 2.07s 0.65s
% Output : Refutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 28 ~; 26 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1467,plain,
$false,
inference(subsumption_resolution,[],[f1466,f1138]) ).
fof(f1138,plain,
~ rdn_non_zero_digit(rdnn(n1)),
inference(consistent_polarity_flipping,[],[f856]) ).
fof(f856,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(cnf_transformation,[],[f257]) ).
fof(f257,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_digit1) ).
fof(f1466,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(resolution,[],[f1465,f990]) ).
fof(f990,plain,
! [X0] :
( rdn_non_zero(rdnn(X0))
| rdn_non_zero_digit(rdnn(X0)) ),
inference(consistent_polarity_flipping,[],[f823]) ).
fof(f823,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(cnf_transformation,[],[f468]) ).
fof(f468,plain,
! [X0] :
( ~ rdn_non_zero_digit(rdnn(X0))
| rdn_non_zero(rdnn(X0)) ),
inference(ennf_transformation,[],[f279]) ).
fof(f279,axiom,
! [X0] :
( rdn_non_zero_digit(rdnn(X0))
=> rdn_non_zero(rdnn(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_non_zero_by_digit) ).
fof(f1465,plain,
~ rdn_non_zero(rdnn(n1)),
inference(resolution,[],[f1464,f933]) ).
fof(f933,plain,
~ rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(consistent_polarity_flipping,[],[f573]) ).
fof(f573,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn13) ).
fof(f1464,plain,
! [X0,X1] :
( rdn_translate(n13,rdn_pos(rdn(rdnn(X0),X1)))
| ~ rdn_non_zero(X1) ),
inference(resolution,[],[f1436,f991]) ).
fof(f991,plain,
! [X2,X0,X1] :
( ~ rdn_positive_less(rdnn(X0),rdn(rdnn(X2),X1))
| ~ rdn_non_zero(X1) ),
inference(consistent_polarity_flipping,[],[f514]) ).
fof(f514,plain,
! [X2,X0,X1] :
( ~ rdn_non_zero(X1)
| rdn_positive_less(rdnn(X0),rdn(rdnn(X2),X1)) ),
inference(cnf_transformation,[],[f477]) ).
fof(f477,plain,
! [X0,X1,X2] :
( ~ rdn_non_zero(X1)
| rdn_positive_less(rdnn(X0),rdn(rdnn(X2),X1)) ),
inference(rectify,[],[f467]) ).
fof(f467,plain,
! [X0,X2,X1] :
( ~ rdn_non_zero(X2)
| rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(ennf_transformation,[],[f411]) ).
fof(f411,plain,
! [X2,X1,X0] :
( rdn_non_zero(X2)
=> rdn_positive_less(rdnn(X0),rdn(rdnn(X1),X2)) ),
inference(rectify,[],[f278]) ).
fof(f278,axiom,
! [X8,X5,X6] :
( rdn_non_zero(X6)
=> rdn_positive_less(rdnn(X8),rdn(rdnn(X5),X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn_extra_digits_positive_less) ).
fof(f1436,plain,
! [X0] :
( rdn_positive_less(rdnn(n2),X0)
| rdn_translate(n13,rdn_pos(X0)) ),
inference(resolution,[],[f1427,f994]) ).
fof(f994,plain,
~ rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(consistent_polarity_flipping,[],[f545]) ).
fof(f545,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdn2) ).
fof(f1427,plain,
! [X0,X1] :
( rdn_translate(n2,rdn_pos(X0))
| rdn_translate(n13,rdn_pos(X1))
| rdn_positive_less(X0,X1) ),
inference(resolution,[],[f1065,f1178]) ).
fof(f1178,plain,
less(n2,n13),
inference(consistent_polarity_flipping,[],[f735]) ).
fof(f735,plain,
~ less(n2,n13),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
~ less(n2,n13),
inference(flattening,[],[f403]) ).
fof(f403,negated_conjecture,
~ less(n2,n13),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
less(n2,n13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n2_less_n13) ).
fof(f1065,plain,
! [X2,X3,X0,X1] :
( ~ less(X2,X3)
| rdn_translate(X2,rdn_pos(X1))
| rdn_translate(X3,rdn_pos(X0))
| rdn_positive_less(X1,X0) ),
inference(consistent_polarity_flipping,[],[f716]) ).
fof(f716,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_positive_less(X1,X0)
| less(X2,X3)
| ~ rdn_translate(X3,rdn_pos(X0)) ),
inference(cnf_transformation,[],[f490]) ).
fof(f490,plain,
! [X0,X1,X2,X3] :
( less(X2,X3)
| ~ rdn_translate(X2,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X0))
| ~ rdn_positive_less(X1,X0) ),
inference(rectify,[],[f455]) ).
fof(f455,plain,
! [X2,X1,X0,X3] :
( less(X0,X3)
| ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_translate(X3,rdn_pos(X2))
| ~ rdn_positive_less(X1,X2) ),
inference(flattening,[],[f454]) ).
fof(f454,plain,
! [X2,X0,X1,X3] :
( less(X0,X3)
| ~ rdn_translate(X3,rdn_pos(X2))
| ~ rdn_translate(X0,rdn_pos(X1))
| ~ rdn_positive_less(X1,X2) ),
inference(ennf_transformation,[],[f413]) ).
fof(f413,plain,
! [X2,X0,X1,X3] :
( ( rdn_translate(X3,rdn_pos(X2))
& rdn_translate(X0,rdn_pos(X1))
& rdn_positive_less(X1,X2) )
=> less(X0,X3) ),
inference(rectify,[],[f281]) ).
fof(f281,axiom,
! [X0,X9,X10,X1] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_positive_less(X9,X10)
& rdn_translate(X0,rdn_pos(X9)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM292+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 06:23:55 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.55 % (14589)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)
% 0.21/0.57 % (14592)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57 % (14611)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 (2999ds/467Mi)
% 0.21/0.58 % (14600)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.58 % (14597)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)
% 0.21/0.58 % (14603)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)
% 0.21/0.58 % (14593)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)
% 0.21/0.58 % (14607)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)
% 0.21/0.59 % (14594)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)
% 0.21/0.59 % (14595)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.59 % (14608)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)
% 0.21/0.60 % (14588)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)
% 0.21/0.60 % (14617)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)
% 0.21/0.60 % (14591)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)
% 0.21/0.60 % (14599)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)
% 0.21/0.61 % (14615)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)
% 1.71/0.61 % (14610)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)
% 1.71/0.61 % (14595)Instruction limit reached!
% 1.71/0.61 % (14595)------------------------------
% 1.71/0.61 % (14595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (14595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (14595)Termination reason: Unknown
% 1.71/0.61 % (14595)Termination phase: Property scanning
% 1.71/0.61
% 1.71/0.61 % (14595)Memory used [KB]: 1279
% 1.71/0.61 % (14595)Time elapsed: 0.011 s
% 1.71/0.61 % (14595)Instructions burned: 8 (million)
% 1.71/0.61 % (14595)------------------------------
% 1.71/0.61 % (14595)------------------------------
% 1.71/0.61 % (14598)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.62 % (14616)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.71/0.62 % (14612)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.71/0.62 % (14602)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)
% 2.07/0.63 % (14604)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)
% 2.07/0.63 % (14590)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)
% 2.07/0.64 % (14596)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.07/0.64 % (14596)Instruction limit reached!
% 2.07/0.64 % (14596)------------------------------
% 2.07/0.64 % (14596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (14596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (14596)Termination reason: Unknown
% 2.07/0.64 % (14596)Termination phase: Unused predicate definition removal
% 2.07/0.64
% 2.07/0.64 % (14596)Memory used [KB]: 1279
% 2.07/0.64 % (14596)Time elapsed: 0.004 s
% 2.07/0.64 % (14596)Instructions burned: 2 (million)
% 2.07/0.64 % (14596)------------------------------
% 2.07/0.64 % (14596)------------------------------
% 2.07/0.64 % (14609)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.07/0.64 % (14614)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)
% 2.07/0.65 % (14601)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.07/0.65 % (14606)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.07/0.65 % (14607)First to succeed.
% 2.07/0.65 % (14607)Refutation found. Thanks to Tanya!
% 2.07/0.65 % SZS status Theorem for theBenchmark
% 2.07/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.07/0.65 % (14607)------------------------------
% 2.07/0.65 % (14607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (14607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (14607)Termination reason: Refutation
% 2.07/0.65
% 2.07/0.65 % (14607)Memory used [KB]: 1791
% 2.07/0.65 % (14607)Time elapsed: 0.218 s
% 2.07/0.65 % (14607)Instructions burned: 33 (million)
% 2.07/0.65 % (14607)------------------------------
% 2.07/0.65 % (14607)------------------------------
% 2.07/0.65 % (14587)Success in time 0.296 s
%------------------------------------------------------------------------------