TSTP Solution File: SWV140+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV140+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 : n017.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 129 ( 5 equ)
% Maximal formula atoms : 27 ( 6 avg)
% Number of connectives : 144 ( 35 ~; 28 |; 54 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f553,plain,
$false,
inference(subsumption_resolution,[],[f552,f368]) ).
fof(f368,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
( ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_best7) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) )
& leq(n1,loopcounter)
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( ~ gt(loopcounter,n0)
| leq(s_worst7,n3) )
& ~ leq(n0,s_sworst7)
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
( ~ leq(n0,s_sworst7)
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) )
& ( leq(s_worst7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| ~ gt(loopcounter,n0) )
& ( ~ gt(loopcounter,n0)
| leq(s_worst7,n3) )
& leq(n1,loopcounter)
& ( leq(n0,s_worst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_best7) )
& ( leq(n0,s_worst7)
| ~ gt(loopcounter,n0) )
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_sworst7,n3)
| ~ gt(loopcounter,n0) )
& leq(tptp_float_0_001,pv1341)
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( leq(s_best7,n3)
| ~ gt(loopcounter,n0) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) ) )
=> leq(n0,s_sworst7) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& leq(tptp_float_0_001,pv1341)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) ) )
=> leq(n0,s_sworst7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0010) ).
fof(f552,plain,
~ leq(n1,loopcounter),
inference(forward_demodulation,[],[f547,f396]) ).
fof(f396,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f268,f265]) ).
fof(f265,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(f268,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
fof(f547,plain,
~ leq(plus(n0,n1),loopcounter),
inference(resolution,[],[f406,f422]) ).
fof(f422,plain,
~ gt(loopcounter,n0),
inference(subsumption_resolution,[],[f364,f365]) ).
fof(f365,plain,
~ leq(n0,s_sworst7),
inference(cnf_transformation,[],[f158]) ).
fof(f364,plain,
( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) ),
inference(cnf_transformation,[],[f158]) ).
fof(f406,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(plus(X0,n1),X1) ),
inference(definition_unfolding,[],[f334,f265]) ).
fof(f334,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_succ_gt) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV140+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n017.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 18:27:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.51 % (16304)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 % (16302)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)
% 0.19/0.51 % (16296)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)
% 0.19/0.51 % (16304)Instruction limit reached!
% 0.19/0.51 % (16304)------------------------------
% 0.19/0.51 % (16304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16319)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (16304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16304)Termination reason: Unknown
% 0.19/0.52 % (16304)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (16304)Memory used [KB]: 1023
% 0.19/0.52 % (16304)Time elapsed: 0.005 s
% 0.19/0.52 % (16304)Instructions burned: 3 (million)
% 0.19/0.52 % (16304)------------------------------
% 0.19/0.52 % (16304)------------------------------
% 0.19/0.52 % (16301)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 % (16299)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 % (16320)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)
% 0.19/0.52 % (16311)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 % (16312)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)
% 0.19/0.53 % (16321)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)
% 0.19/0.53 % (16320)First to succeed.
% 0.19/0.53 % (16326)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (16303)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (16307)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (16325)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)
% 0.19/0.54 % (16324)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)
% 0.19/0.54 % (16297)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)
% 0.19/0.54 % (16300)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (16320)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (16320)------------------------------
% 0.19/0.54 % (16320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (16320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (16320)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (16320)Memory used [KB]: 1279
% 0.19/0.54 % (16320)Time elapsed: 0.127 s
% 0.19/0.54 % (16320)Instructions burned: 16 (million)
% 0.19/0.54 % (16320)------------------------------
% 0.19/0.54 % (16320)------------------------------
% 0.19/0.54 % (16290)Success in time 0.183 s
%------------------------------------------------------------------------------