TSTP Solution File: SWV142+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV142+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 : n003.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 1.44s 0.57s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 131 ( 5 equ)
% Maximal formula atoms : 27 ( 6 avg)
% Number of connectives : 146 ( 36 ~; 29 |; 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 : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f565,plain,
$false,
inference(subsumption_resolution,[],[f564,f355]) ).
fof(f355,plain,
leq(n1,loopcounter),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
( ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ~ leq(s_best7,n3)
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(s_best7,n3) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) ) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
( ~ leq(s_best7,n3)
& ( ~ gt(loopcounter,n0)
| leq(s_best7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_worst7) )
& leq(tptp_float_0_001,pv1341)
& ( leq(n0,s_best7)
| ~ gt(loopcounter,n0) )
& ( leq(s_best7,n3)
| leq(tptp_float_0_001,pv1341) )
& ( leq(tptp_float_0_001,pv1341)
| leq(n0,s_worst7) )
& ( leq(n0,s_best7)
| leq(tptp_float_0_001,pv1341) )
& leq(n1,loopcounter)
& ( leq(n0,s_sworst7)
| leq(tptp_float_0_001,pv1341) )
& ( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) )
& ( leq(s_worst7,n3)
| ~ gt(loopcounter,n0) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_worst7,n3) )
& ( ~ gt(loopcounter,n0)
| leq(s_sworst7,n3) )
& ( leq(tptp_float_0_001,pv1341)
| leq(s_sworst7,n3) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) ) )
=> leq(s_best7,n3) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& leq(tptp_float_0_001,pv1341)
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) ) )
=> leq(s_best7,n3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0012) ).
fof(f564,plain,
~ leq(n1,loopcounter),
inference(forward_demodulation,[],[f559,f413]) ).
fof(f413,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f317,f273]) ).
fof(f273,plain,
! [X0] : succ(X0) = plus(X0,n1),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] : succ(X0) = plus(X0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_1_r) ).
fof(f317,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f559,plain,
~ leq(plus(n0,n1),loopcounter),
inference(resolution,[],[f423,f428]) ).
fof(f428,plain,
~ gt(loopcounter,n0),
inference(subsumption_resolution,[],[f347,f352]) ).
fof(f352,plain,
~ leq(s_best7,n3),
inference(cnf_transformation,[],[f121]) ).
fof(f347,plain,
( leq(s_best7,n3)
| ~ gt(loopcounter,n0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f423,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f386,f273]) ).
fof(f386,plain,
! [X0,X1] :
( ~ leq(succ(X1),X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ leq(succ(X1),X0)
| gt(X0,X1) ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
! [X1,X0] :
( ~ 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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWV142+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Aug 30 19:03:37 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.23/0.50 % (7750)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)
% 0.23/0.51 % (7742)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)
% 0.23/0.51 % (7734)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.51 % (7734)Instruction limit reached!
% 0.23/0.51 % (7734)------------------------------
% 0.23/0.51 % (7734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.23/0.51 % (7734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.23/0.51 % (7734)Termination reason: Unknown
% 0.23/0.51 % (7734)Termination phase: Function definition elimination
% 0.23/0.51
% 0.23/0.51 % (7734)Memory used [KB]: 1151
% 0.23/0.51 % (7734)Time elapsed: 0.007 s
% 0.23/0.51 % (7734)Instructions burned: 7 (million)
% 0.23/0.51 % (7734)------------------------------
% 0.23/0.51 % (7734)------------------------------
% 0.23/0.53 % (7741)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)
% 0.23/0.53 % (7739)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.23/0.54 % (7737)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.23/0.54 % (7733)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)
% 0.23/0.55 % (7731)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.23/0.55 % (7728)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)
% 0.23/0.55 % (7730)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)
% 0.23/0.55 % (7732)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)
% 0.23/0.55 % (7738)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)
% 0.23/0.56 % (7736)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)
% 0.23/0.56 % (7747)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)
% 0.23/0.56 % (7729)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)
% 0.23/0.56 % (7749)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)
% 0.23/0.56 % (7755)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.23/0.56 % (7744)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.56 % (7740)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.57 % (7751)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.57 % (7754)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)
% 1.44/0.57 % (7727)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)
% 1.44/0.57 % (7756)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)
% 1.44/0.57 % (7746)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)
% 1.44/0.57 % (7749)First to succeed.
% 1.44/0.57 % (7749)Refutation found. Thanks to Tanya!
% 1.44/0.57 % SZS status Theorem for theBenchmark
% 1.44/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.58 % (7749)------------------------------
% 1.44/0.58 % (7749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (7749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (7749)Termination reason: Refutation
% 1.44/0.58
% 1.44/0.58 % (7749)Memory used [KB]: 1279
% 1.44/0.58 % (7749)Time elapsed: 0.108 s
% 1.44/0.58 % (7749)Instructions burned: 16 (million)
% 1.44/0.58 % (7749)------------------------------
% 1.44/0.58 % (7749)------------------------------
% 1.44/0.58 % (7726)Success in time 0.201 s
%------------------------------------------------------------------------------