TSTP Solution File: SWV137+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV137+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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 : n025.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 18:55:37 EDT 2022
% Result : Theorem 1.67s 0.59s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 84 ( 9 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 66 ( 13 ~; 9 |; 38 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f702,plain,
$false,
inference(subsumption_resolution,[],[f701,f240]) ).
fof(f240,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( leq(n0,s_worst7)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(pv1325,n3)
& leq(s_best7,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(n0,s_sworst7)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& ~ leq(n0,pv1325)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
inference(flattening,[],[f146]) ).
fof(f146,plain,
( ~ leq(n0,pv1325)
& leq(s_best7,n3)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(s_sworst7,n3)
& leq(pv1325,n3)
& leq(n0,s_sworst7)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(n0,s_worst7)
& leq(s_worst7,n3) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_best7,n3)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(s_sworst7,n3)
& leq(pv1325,n3)
& leq(n0,s_sworst7)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(n0,s_worst7)
& leq(s_worst7,n3) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_best7,n3)
& leq(n0,s_best7)
& leq(n2,pv1325)
& leq(s_sworst7,n3)
& leq(pv1325,n3)
& leq(n0,s_sworst7)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(n0,s_worst7)
& leq(s_worst7,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0007) ).
fof(f701,plain,
leq(n0,pv1325),
inference(resolution,[],[f694,f661]) ).
fof(f661,plain,
! [X0] :
( ~ leq(n1,X0)
| leq(n0,X0) ),
inference(resolution,[],[f655,f343]) ).
fof(f343,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( gt(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt1) ).
fof(f655,plain,
! [X2] :
( gt(X2,n0)
| ~ leq(n1,X2) ),
inference(superposition,[],[f401,f398]) ).
fof(f398,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f277,f319]) ).
fof(f319,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f277,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f401,plain,
! [X0,X1] :
( ~ leq(plus(X1,n1),X0)
| gt(X0,X1) ),
inference(definition_unfolding,[],[f289,f319]) ).
fof(f289,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(succ(X1),X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(succ(X1),X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( leq(succ(X1),X0)
=> gt(X0,X1) ),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f694,plain,
leq(n1,pv1325),
inference(resolution,[],[f673,f247]) ).
fof(f247,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f147]) ).
fof(f673,plain,
! [X0] :
( ~ leq(n2,X0)
| leq(n1,X0) ),
inference(resolution,[],[f657,f343]) ).
fof(f657,plain,
! [X4] :
( gt(X4,n1)
| ~ leq(n2,X4) ),
inference(superposition,[],[f401,f533]) ).
fof(f533,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f419,f398]) ).
fof(f419,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f367,f319,f319]) ).
fof(f367,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV137+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 19:12:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (13902)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)
% 0.21/0.52 % (13894)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)
% 0.21/0.52 % (13885)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)
% 0.21/0.52 % (13886)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (13886)Instruction limit reached!
% 0.21/0.53 % (13886)------------------------------
% 0.21/0.53 % (13886)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (13886)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (13886)Termination reason: Unknown
% 0.21/0.53 % (13886)Termination phase: Function definition elimination
% 0.21/0.53
% 0.21/0.53 % (13886)Memory used [KB]: 1151
% 0.21/0.53 % (13886)Time elapsed: 0.009 s
% 0.21/0.53 % (13886)Instructions burned: 7 (million)
% 0.21/0.53 % (13886)------------------------------
% 0.21/0.53 % (13886)------------------------------
% 0.21/0.53 % (13879)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)
% 0.21/0.53 % (13901)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)
% 0.21/0.54 % (13892)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (13883)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (13881)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)
% 0.21/0.54 % (13890)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)
% 0.21/0.54 % (13893)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)
% 0.21/0.54 % (13891)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (13895)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)
% 0.21/0.55 % (13884)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)
% 0.21/0.55 % (13897)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.47/0.55 % (13887)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.47/0.55 % (13907)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.47/0.55 % (13908)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)
% 1.47/0.55 % (13887)Instruction limit reached!
% 1.47/0.55 % (13887)------------------------------
% 1.47/0.55 % (13887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (13887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (13887)Termination reason: Unknown
% 1.47/0.55 % (13887)Termination phase: Preprocessing 2
% 1.47/0.55
% 1.47/0.55 % (13887)Memory used [KB]: 1023
% 1.47/0.55 % (13887)Time elapsed: 0.003 s
% 1.47/0.55 % (13887)Instructions burned: 2 (million)
% 1.47/0.55 % (13887)------------------------------
% 1.47/0.55 % (13887)------------------------------
% 1.47/0.56 % (13889)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.47/0.56 % (13903)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.47/0.56 % (13882)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)
% 1.47/0.56 % (13899)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)
% 1.47/0.56 % (13905)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)
% 1.47/0.56 % (13900)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.47/0.56 % (13880)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)
% 1.47/0.57 TRYING [1]
% 1.47/0.57 % (13896)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.67/0.57 % (13906)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)
% 1.67/0.57 % (13904)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.67/0.57 TRYING [2]
% 1.67/0.57 TRYING [1]
% 1.67/0.58 TRYING [2]
% 1.67/0.58 % (13884)First to succeed.
% 1.67/0.58 % (13898)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)
% 1.67/0.58 % (13888)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)
% 1.67/0.58 % (13895)Also succeeded, but the first one will report.
% 1.67/0.59 % (13884)Refutation found. Thanks to Tanya!
% 1.67/0.59 % SZS status Theorem for theBenchmark
% 1.67/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.59 % (13884)------------------------------
% 1.67/0.59 % (13884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (13884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (13884)Termination reason: Refutation
% 1.67/0.59
% 1.67/0.59 % (13884)Memory used [KB]: 5884
% 1.67/0.59 % (13884)Time elapsed: 0.167 s
% 1.67/0.59 % (13884)Instructions burned: 22 (million)
% 1.67/0.59 % (13884)------------------------------
% 1.67/0.59 % (13884)------------------------------
% 1.67/0.59 % (13878)Success in time 0.231 s
%------------------------------------------------------------------------------