TSTP Solution File: SWV138+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV138+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 : n008.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 1.69s 0.57s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 18 unt; 0 def)
% Number of atoms : 76 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 61 ( 16 ~; 6 |; 34 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f538,plain,
$false,
inference(resolution,[],[f531,f371]) ).
fof(f371,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( leq(n0,s_best7)
& leq(s_best7,n3)
& leq(n2,pv1325)
& ~ leq(n0,pv1325)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(pv1325,n3) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
( ~ leq(n0,pv1325)
& leq(s_sworst7,n3)
& leq(n2,pv1325)
& leq(n0,s_best7)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(pv1325,n3) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_sworst7,n3)
& leq(n2,pv1325)
& leq(n0,s_best7)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_sworst7,n3)
& leq(n2,pv1325)
& leq(n0,s_best7)
& gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_worst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0008) ).
fof(f531,plain,
~ leq(n2,pv1325),
inference(forward_demodulation,[],[f529,f442]) ).
fof(f442,plain,
n2 = plus(n1,n1),
inference(backward_demodulation,[],[f404,f416]) ).
fof(f416,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f360,f266]) ).
fof(f266,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(f360,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f404,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f265,f266,f266]) ).
fof(f265,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f85]) ).
fof(f85,axiom,
n2 = succ(succ(n0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f529,plain,
~ leq(plus(n1,n1),pv1325),
inference(resolution,[],[f527,f401]) ).
fof(f401,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ leq(plus(X1,n1),X0) ),
inference(definition_unfolding,[],[f259,f266]) ).
fof(f259,plain,
! [X0,X1] :
( ~ leq(succ(X1),X0)
| gt(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0,X1] :
( ~ leq(succ(X1),X0)
| gt(X0,X1) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X1,X0] :
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( leq(succ(X0),X1)
=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f527,plain,
~ gt(pv1325,n1),
inference(resolution,[],[f525,f306]) ).
fof(f306,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(ennf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( gt(X0,X1)
=> leq(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f525,plain,
~ leq(n1,pv1325),
inference(forward_demodulation,[],[f524,f416]) ).
fof(f524,plain,
~ leq(plus(n0,n1),pv1325),
inference(resolution,[],[f401,f452]) ).
fof(f452,plain,
~ gt(pv1325,n0),
inference(resolution,[],[f306,f370]) ).
fof(f370,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV138+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 19:06:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (9842)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (9842)Instruction limit reached!
% 0.18/0.49 % (9842)------------------------------
% 0.18/0.49 % (9842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (9842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (9842)Termination reason: Unknown
% 0.18/0.49 % (9842)Termination phase: Preprocessing 3
% 0.18/0.49
% 0.18/0.49 % (9842)Memory used [KB]: 1023
% 0.18/0.49 % (9842)Time elapsed: 0.004 s
% 0.18/0.49 % (9842)Instructions burned: 3 (million)
% 0.18/0.49 % (9842)------------------------------
% 0.18/0.49 % (9842)------------------------------
% 0.18/0.50 % (9840)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)
% 0.18/0.50 % (9857)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)
% 0.18/0.51 % (9835)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)
% 0.18/0.51 % (9839)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)
% 0.18/0.51 % (9856)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)
% 0.18/0.51 % (9848)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)
% 0.18/0.52 % (9845)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)
% 0.18/0.52 % (9836)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)
% 0.18/0.52 % (9837)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)
% 0.18/0.52 % (9859)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (9858)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52 % (9843)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)
% 0.18/0.52 % (9844)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (9834)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)
% 0.18/0.53 % (9853)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)
% 0.18/0.53 % (9846)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (9863)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)
% 0.18/0.53 % (9861)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)
% 0.18/0.53 % (9851)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 TRYING [1]
% 0.18/0.53 % (9850)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)
% 0.18/0.53 % (9852)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (9854)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)
% 0.18/0.53 % (9838)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 TRYING [2]
% 0.18/0.54 % (9860)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)
% 0.18/0.54 % (9841)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54 % (9847)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (9849)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)
% 0.18/0.55 % (9855)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.55 % (9843)First to succeed.
% 0.18/0.55 % (9862)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.69/0.56 % (9841)Instruction limit reached!
% 1.69/0.56 % (9841)------------------------------
% 1.69/0.56 % (9841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56 % (9841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.56 % (9841)Termination reason: Unknown
% 1.69/0.56 % (9841)Termination phase: Property scanning
% 1.69/0.56
% 1.69/0.56 % (9841)Memory used [KB]: 1151
% 1.69/0.56 % (9841)Time elapsed: 0.005 s
% 1.69/0.56 % (9841)Instructions burned: 9 (million)
% 1.69/0.56 % (9841)------------------------------
% 1.69/0.56 % (9841)------------------------------
% 1.69/0.56 % (9840)Instruction limit reached!
% 1.69/0.56 % (9840)------------------------------
% 1.69/0.56 % (9840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.56 % (9840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.56 % (9840)Termination reason: Unknown
% 1.69/0.56 % (9840)Termination phase: Finite model building SAT solving
% 1.69/0.56
% 1.69/0.56 % (9840)Memory used [KB]: 7931
% 1.69/0.56 % (9840)Time elapsed: 0.103 s
% 1.69/0.56 % (9840)Instructions burned: 51 (million)
% 1.69/0.56 % (9840)------------------------------
% 1.69/0.56 % (9840)------------------------------
% 1.69/0.57 % (9843)Refutation found. Thanks to Tanya!
% 1.69/0.57 % SZS status Theorem for theBenchmark
% 1.69/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.57 % (9843)------------------------------
% 1.69/0.57 % (9843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (9843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (9843)Termination reason: Refutation
% 1.69/0.57
% 1.69/0.57 % (9843)Memory used [KB]: 1407
% 1.69/0.57 % (9843)Time elapsed: 0.163 s
% 1.69/0.57 % (9843)Instructions burned: 25 (million)
% 1.69/0.57 % (9843)------------------------------
% 1.69/0.57 % (9843)------------------------------
% 1.69/0.57 % (9833)Success in time 0.229 s
%------------------------------------------------------------------------------