TSTP Solution File: SWV141+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV141+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 : n024.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 18:55:38 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 14 unt; 3 typ; 0 def)
% Number of atoms : 136 ( 6 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 149 ( 38 ~; 30 |; 54 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_11,type,
sQ32_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_12,type,
sQ33_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_13,type,
sQ34_eqProxy: ( $real * $real ) > $o ).
fof(f827,plain,
$false,
inference(subsumption_resolution,[],[f826,f573]) ).
fof(f573,plain,
leq(n1,loopcounter),
inference(literal_reordering,[],[f391]) ).
fof(f391,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
( ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ~ leq(n0,s_worst7)
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& leq(n1,loopcounter)
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_best7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) ) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
( ~ leq(n0,s_worst7)
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_best7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_best7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_sworst7) )
& leq(n1,loopcounter)
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& ( leq(s_sworst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) ) )
=> leq(n0,s_worst7) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) ) )
=> leq(n0,s_worst7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0011) ).
fof(f826,plain,
~ leq(n1,loopcounter),
inference(forward_demodulation,[],[f818,f575]) ).
fof(f575,plain,
n1 = plus(n1,n0),
inference(literal_reordering,[],[f416]) ).
fof(f416,plain,
n1 = plus(n1,n0),
inference(definition_unfolding,[],[f345,f256]) ).
fof(f256,plain,
! [X0] : succ(X0) = plus(n1,X0),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : succ(X0) = plus(n1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',succ_plus_1_l) ).
fof(f345,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f818,plain,
~ leq(plus(n1,n0),loopcounter),
inference(resolution,[],[f552,f744]) ).
fof(f744,plain,
~ gt(loopcounter,n0),
inference(subsumption_resolution,[],[f529,f496]) ).
fof(f496,plain,
~ leq(n0,s_worst7),
inference(literal_reordering,[],[f393]) ).
fof(f393,plain,
~ leq(n0,s_worst7),
inference(cnf_transformation,[],[f141]) ).
fof(f529,plain,
( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) ),
inference(literal_reordering,[],[f384]) ).
fof(f384,plain,
( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) ),
inference(cnf_transformation,[],[f141]) ).
fof(f552,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(n1,X0),X1) ),
inference(literal_reordering,[],[f422]) ).
fof(f422,plain,
! [X0,X1] :
( ~ leq(plus(n1,X0),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f366,f256]) ).
fof(f366,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV141+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 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
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:05:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (26968)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48 % (26968)Instruction limit reached!
% 0.20/0.48 % (26968)------------------------------
% 0.20/0.48 % (26968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (26976)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)
% 0.20/0.49 % (26968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (26968)Termination reason: Unknown
% 0.20/0.49 % (26968)Termination phase: Property scanning
% 0.20/0.49
% 0.20/0.49 % (26968)Memory used [KB]: 1151
% 0.20/0.49 % (26968)Time elapsed: 0.006 s
% 0.20/0.49 % (26968)Instructions burned: 8 (million)
% 0.20/0.49 % (26968)------------------------------
% 0.20/0.49 % (26968)------------------------------
% 0.20/0.51 % (26961)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)
% 0.20/0.52 % (26970)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)
% 0.20/0.52 % (26984)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)
% 0.20/0.52 % (26969)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (26971)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 % (26975)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)
% 0.20/0.52 % (26974)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (26969)Instruction limit reached!
% 0.20/0.52 % (26969)------------------------------
% 0.20/0.52 % (26969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (26969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (26969)Termination reason: Unknown
% 0.20/0.52 % (26969)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (26969)Memory used [KB]: 1023
% 0.20/0.52 % (26969)Time elapsed: 0.003 s
% 0.20/0.52 % (26969)Instructions burned: 3 (million)
% 0.20/0.52 % (26969)------------------------------
% 0.20/0.52 % (26969)------------------------------
% 0.20/0.52 % (26962)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)
% 0.20/0.52 % (26986)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (26967)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)
% 0.20/0.53 % (26989)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (26981)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)
% 0.20/0.53 % (26978)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (26965)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 % (26972)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)
% 0.20/0.54 % (26980)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)
% 0.20/0.54 % (26964)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)
% 0.20/0.54 % (26966)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)
% 0.20/0.54 % (26963)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)
% 0.20/0.54 % (26983)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)
% 0.20/0.54 % (26973)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (26988)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)
% 0.20/0.55 % (26975)First to succeed.
% 0.20/0.55 % (26985)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (26987)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)
% 0.20/0.55 % (26990)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)
% 0.20/0.55 % (26976)Also succeeded, but the first one will report.
% 0.20/0.56 % (26982)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (26979)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (26975)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (26975)------------------------------
% 0.20/0.56 % (26975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (26975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (26975)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (26975)Memory used [KB]: 6396
% 0.20/0.56 % (26975)Time elapsed: 0.012 s
% 0.20/0.56 % (26975)Instructions burned: 19 (million)
% 0.20/0.56 % (26975)------------------------------
% 0.20/0.56 % (26975)------------------------------
% 0.20/0.56 % (26960)Success in time 0.197 s
%------------------------------------------------------------------------------