TSTP Solution File: SWV136+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV136+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 : n005.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 0.16s 0.50s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 78 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 62 ( 14 ~; 10 |; 34 &)
% ( 0 <=>; 4 =>; 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 : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f700,plain,
$false,
inference(subsumption_resolution,[],[f699,f342]) ).
fof(f342,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
( leq(s_worst7,n3)
& leq(n0,s_best7)
& leq(s_best7,n3)
& leq(pv1325,n3)
& leq(s_sworst7,n3)
& leq(n2,pv1325)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& ~ leq(n0,pv1325)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
( ~ leq(n0,pv1325)
& leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(pv1325,n3)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(n0,s_best7) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(pv1325,n3)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(n0,s_best7) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( leq(s_worst7,n3)
& leq(n0,s_sworst7)
& leq(pv1325,n3)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(s_sworst7,n3)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(n0,s_best7) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0006) ).
fof(f699,plain,
leq(n0,pv1325),
inference(resolution,[],[f692,f659]) ).
fof(f659,plain,
! [X0] :
( ~ leq(n1,X0)
| leq(n0,X0) ),
inference(resolution,[],[f653,f280]) ).
fof(f280,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X1,X0] :
( leq(X0,X1)
| ~ gt(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).
fof(f653,plain,
! [X2] :
( gt(X2,n0)
| ~ leq(n1,X2) ),
inference(superposition,[],[f406,f419]) ).
fof(f419,plain,
n1 = plus(n0,n1),
inference(definition_unfolding,[],[f381,f259]) ).
fof(f259,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(f381,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,axiom,
n1 = succ(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f406,plain,
! [X0,X1] :
( ~ leq(plus(X0,n1),X1)
| gt(X1,X0) ),
inference(definition_unfolding,[],[f296,f259]) ).
fof(f296,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(succ(X0),X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,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/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).
fof(f692,plain,
leq(n1,pv1325),
inference(resolution,[],[f671,f345]) ).
fof(f345,plain,
leq(n2,pv1325),
inference(cnf_transformation,[],[f114]) ).
fof(f671,plain,
! [X0] :
( ~ leq(n2,X0)
| leq(n1,X0) ),
inference(resolution,[],[f655,f280]) ).
fof(f655,plain,
! [X4] :
( gt(X4,n1)
| ~ leq(n2,X4) ),
inference(superposition,[],[f406,f513]) ).
fof(f513,plain,
n2 = plus(n1,n1),
inference(forward_demodulation,[],[f398,f419]) ).
fof(f398,plain,
n2 = plus(plus(n0,n1),n1),
inference(definition_unfolding,[],[f260,f259,f259]) ).
fof(f260,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV136+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 30 19:02:48 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.16/0.44 % (8085)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.45 % (8085)Instruction limit reached!
% 0.16/0.45 % (8085)------------------------------
% 0.16/0.45 % (8085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.46 % (8100)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)
% 0.16/0.46 % (8106)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.46 % (8078)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)
% 0.16/0.46 % (8082)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.47 % (8085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (8085)Termination reason: Unknown
% 0.16/0.47 % (8085)Termination phase: Function definition elimination
% 0.16/0.47
% 0.16/0.47 % (8085)Memory used [KB]: 1151
% 0.16/0.47 % (8085)Time elapsed: 0.008 s
% 0.16/0.47 % (8085)Instructions burned: 7 (million)
% 0.16/0.47 % (8085)------------------------------
% 0.16/0.47 % (8085)------------------------------
% 0.16/0.47 % (8086)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.47 % (8086)Instruction limit reached!
% 0.16/0.47 % (8086)------------------------------
% 0.16/0.47 % (8086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.47 % (8086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.47 % (8086)Termination reason: Unknown
% 0.16/0.47 % (8086)Termination phase: shuffling
% 0.16/0.47
% 0.16/0.47 % (8086)Memory used [KB]: 1023
% 0.16/0.47 % (8086)Time elapsed: 0.003 s
% 0.16/0.47 % (8086)Instructions burned: 2 (million)
% 0.16/0.47 % (8086)------------------------------
% 0.16/0.47 % (8086)------------------------------
% 0.16/0.47 % (8088)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.47 % (8101)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)
% 0.16/0.47 % (8092)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)
% 0.16/0.48 % (8087)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)
% 0.16/0.48 % (8079)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)
% 0.16/0.48 % (8093)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)
% 0.16/0.48 % (8083)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)
% 0.16/0.48 % (8105)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)
% 0.16/0.48 % (8098)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)
% 0.16/0.48 % (8090)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.48 % (8095)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.49 % (8102)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.49 % (8084)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)
% 0.16/0.49 % (8080)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)
% 0.16/0.49 % (8083)First to succeed.
% 0.16/0.49 % (8099)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.50 % (8103)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.50 % (8091)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.50 % (8081)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)
% 0.16/0.50 % (8083)Refutation found. Thanks to Tanya!
% 0.16/0.50 % SZS status Theorem for theBenchmark
% 0.16/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50 % (8083)------------------------------
% 0.16/0.50 % (8083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (8083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (8083)Termination reason: Refutation
% 0.16/0.50
% 0.16/0.50 % (8083)Memory used [KB]: 5884
% 0.16/0.50 % (8083)Time elapsed: 0.119 s
% 0.16/0.50 % (8083)Instructions burned: 23 (million)
% 0.16/0.50 % (8083)------------------------------
% 0.16/0.50 % (8083)------------------------------
% 0.16/0.50 % (8073)Success in time 0.183 s
%------------------------------------------------------------------------------