TSTP Solution File: COL019-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n015.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 15:51:41 EDT 2022
% Result : Unsatisfiable 1.48s 0.54s
% Output : Refutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 18 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f80,plain,
$false,
inference(unit_resulting_resolution,[],[f9,f8,f27,f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X0,X1)
| ~ sQ0_eqProxy(X1,X2) ),
inference(equality_proxy_axiom,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f27,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(apply(apply(b,combinator),X0),X1)),
inference(unit_resulting_resolution,[],[f7,f15,f13]) ).
fof(f15,plain,
! [X0] : ~ sQ0_eqProxy(X0,apply(combinator,X0)),
inference(unit_resulting_resolution,[],[f6,f12]) ).
fof(f12,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f5]) ).
fof(f6,plain,
! [X1] : ~ sQ0_eqProxy(apply(combinator,X1),X1),
inference(equality_proxy_replacement,[],[f4,f5]) ).
fof(f4,axiom,
! [X1] : apply(combinator,X1) != X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f7,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(b,X0),X1),X2),apply(X0,apply(X1,X2))),
inference(equality_proxy_replacement,[],[f2,f5]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f8,plain,
! [X0,X1] : sQ0_eqProxy(apply(apply(t,X0),X1),apply(X1,X0)),
inference(equality_proxy_replacement,[],[f3,f5]) ).
fof(f3,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
fof(f9,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(s,X0),X1),X2),apply(apply(X0,X2),apply(X1,X2))),
inference(equality_proxy_replacement,[],[f1,f5]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL019-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 16:52:50 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (29037)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (29050)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 1.35/0.52 % (29041)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.35/0.52 % (29050)Refutation not found, incomplete strategy% (29050)------------------------------
% 1.35/0.52 % (29050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.52 % (29050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.52 % (29050)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.52
% 1.35/0.52 % (29050)Memory used [KB]: 5373
% 1.35/0.52 % (29050)Time elapsed: 0.120 s
% 1.35/0.52 % (29050)Instructions burned: 1 (million)
% 1.35/0.52 % (29050)------------------------------
% 1.35/0.52 % (29050)------------------------------
% 1.35/0.52 % (29058)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.35/0.53 % (29058)First to succeed.
% 1.35/0.53 % (29041)Instruction limit reached!
% 1.35/0.53 % (29041)------------------------------
% 1.35/0.53 % (29041)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (29041)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (29041)Termination reason: Unknown
% 1.35/0.53 % (29041)Termination phase: Saturation
% 1.35/0.53
% 1.35/0.53 % (29041)Memory used [KB]: 5500
% 1.35/0.53 % (29041)Time elapsed: 0.123 s
% 1.35/0.53 % (29041)Instructions burned: 7 (million)
% 1.35/0.53 % (29041)------------------------------
% 1.35/0.53 % (29041)------------------------------
% 1.35/0.53 % (29059)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 1.35/0.53 % (29039)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.35/0.53 % (29057)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 1.35/0.53 % (29040)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.35/0.53 % (29038)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.35/0.53 % (29049)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 1.35/0.53 % (29038)Instruction limit reached!
% 1.35/0.53 % (29038)------------------------------
% 1.35/0.53 % (29038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.35/0.53 % (29038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.35/0.53 % (29038)Termination reason: Unknown
% 1.35/0.53 % (29038)Termination phase: Saturation
% 1.35/0.53
% 1.35/0.53 % (29038)Memory used [KB]: 5500
% 1.35/0.53 % (29038)Time elapsed: 0.137 s
% 1.35/0.53 % (29038)Instructions burned: 6 (million)
% 1.35/0.53 % (29038)------------------------------
% 1.35/0.53 % (29038)------------------------------
% 1.35/0.54 % (29045)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.35/0.54 % (29035)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.35/0.54 % (29042)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.48/0.54 % (29054)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.48/0.54 % (29051)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 1.48/0.54 % (29037)Also succeeded, but the first one will report.
% 1.48/0.54 % (29064)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 1.48/0.54 % (29058)Refutation found. Thanks to Tanya!
% 1.48/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.48/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.48/0.54 % (29058)------------------------------
% 1.48/0.54 % (29058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.48/0.54 % (29058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.48/0.54 % (29058)Termination reason: Refutation
% 1.48/0.54
% 1.48/0.54 % (29058)Memory used [KB]: 5500
% 1.48/0.54 % (29058)Time elapsed: 0.122 s
% 1.48/0.54 % (29058)Instructions burned: 4 (million)
% 1.48/0.54 % (29058)------------------------------
% 1.48/0.54 % (29058)------------------------------
% 1.48/0.54 % (29032)Success in time 0.19 s
%------------------------------------------------------------------------------