TSTP Solution File: COL002-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL002-1 : 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 : n004.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 15:51:30 EDT 2022
% Result : Unsatisfiable 1.55s 0.59s
% Output : Refutation 1.55s
% 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(unit_resulting_resolution,[],[f7,f10,f34,f15]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X1,X2) ),
inference(equality_proxy_axiom,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f34,plain,
! [X0,X1] : ~ sQ0_eqProxy(apply(X0,X1),apply(apply(apply(b,fixed_pt),X0),X1)),
inference(unit_resulting_resolution,[],[f8,f24,f15]) ).
fof(f24,plain,
! [X0] : ~ sQ0_eqProxy(X0,apply(fixed_pt,X0)),
inference(unit_resulting_resolution,[],[f9,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X1,X0) ),
inference(equality_proxy_axiom,[],[f6]) ).
fof(f9,plain,
! [X1] : ~ sQ0_eqProxy(apply(fixed_pt,X1),X1),
inference(equality_proxy_replacement,[],[f5,f6]) ).
fof(f5,axiom,
! [X1] : apply(fixed_pt,X1) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f8,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(b,X0),X1),X2),apply(X0,apply(X1,X2))),
inference(equality_proxy_replacement,[],[f2,f6]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f10,plain,
! [X2,X0,X1] : sQ0_eqProxy(apply(apply(apply(c,X0),X1),X2),apply(apply(X0,X2),X1)),
inference(equality_proxy_replacement,[],[f3,f6]) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(c,X0),X1),X2) = apply(apply(X0,X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_definition) ).
fof(f7,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,f6]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : COL002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n004.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 : Mon Aug 29 16:29:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.55/0.56 % (32390)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)
% 1.55/0.57 % (32389)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)
% 1.55/0.57 % (32382)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)
% 1.55/0.57 % (32374)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.55/0.57 % (32381)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)
% 1.55/0.57 % (32373)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)
% 1.55/0.58 % (32374)First to succeed.
% 1.55/0.58 % (32373)Instruction limit reached!
% 1.55/0.58 % (32373)------------------------------
% 1.55/0.58 % (32373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (32381)Refutation not found, incomplete strategy% (32381)------------------------------
% 1.55/0.58 % (32381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58 % (32381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (32381)Termination reason: Refutation not found, incomplete strategy
% 1.55/0.58
% 1.55/0.58 % (32381)Memory used [KB]: 5373
% 1.55/0.58 % (32381)Time elapsed: 0.145 s
% 1.55/0.58 % (32381)Instructions burned: 1 (million)
% 1.55/0.58 % (32381)------------------------------
% 1.55/0.58 % (32381)------------------------------
% 1.55/0.58 % (32373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58 % (32373)Termination reason: Unknown
% 1.55/0.58 % (32373)Termination phase: Saturation
% 1.55/0.58
% 1.55/0.58 % (32373)Memory used [KB]: 5628
% 1.55/0.58 % (32373)Time elapsed: 0.147 s
% 1.55/0.58 % (32373)Instructions burned: 7 (million)
% 1.55/0.58 % (32373)------------------------------
% 1.55/0.58 % (32373)------------------------------
% 1.55/0.59 % (32391)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 1.55/0.59 % (32389)Also succeeded, but the first one will report.
% 1.55/0.59 % (32374)Refutation found. Thanks to Tanya!
% 1.55/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.55/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.59 % (32374)------------------------------
% 1.55/0.59 % (32374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.59 % (32374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.59 % (32374)Termination reason: Refutation
% 1.55/0.59
% 1.55/0.59 % (32374)Memory used [KB]: 5500
% 1.55/0.59 % (32374)Time elapsed: 0.147 s
% 1.55/0.59 % (32374)Instructions burned: 7 (million)
% 1.55/0.59 % (32374)------------------------------
% 1.55/0.59 % (32374)------------------------------
% 1.55/0.59 % (32366)Success in time 0.227 s
%------------------------------------------------------------------------------