TSTP Solution File: COL021-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL021-1 : 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 : n022.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 15:51:42 EDT 2022
% Result : Unsatisfiable 1.57s 0.59s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 15 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 3 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(unit_resulting_resolution,[],[f8,f7,f15,f13]) ).
fof(f13,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| ~ sQ0_eqProxy(X1,X2)
| sQ0_eqProxy(X0,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(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/sandbox2/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,[],[f1,f5]) ).
fof(f1,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(f8,plain,
! [X0] : sQ0_eqProxy(apply(m,X0),apply(X0,X0)),
inference(equality_proxy_replacement,[],[f2,f5]) ).
fof(f2,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_definition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL021-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:44:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.57/0.56 % (10005)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)
% 1.57/0.57 % (10005)Instruction limit reached!
% 1.57/0.57 % (10005)------------------------------
% 1.57/0.57 % (10005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (10021)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)
% 1.57/0.58 % (10013)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)
% 1.57/0.58 % (10013)Refutation not found, incomplete strategy% (10013)------------------------------
% 1.57/0.58 % (10013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (10021)First to succeed.
% 1.57/0.58 % (10013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (10013)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.58
% 1.57/0.58 % (10013)Memory used [KB]: 5373
% 1.57/0.58 % (10013)Time elapsed: 0.161 s
% 1.57/0.58 % (10013)Instructions burned: 1 (million)
% 1.57/0.58 % (10013)------------------------------
% 1.57/0.58 % (10013)------------------------------
% 1.57/0.58 % (10004)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)
% 1.57/0.58 % (10005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (10005)Termination reason: Unknown
% 1.57/0.58 % (10005)Termination phase: Saturation
% 1.57/0.58
% 1.57/0.58 % (10005)Memory used [KB]: 5500
% 1.57/0.58 % (10005)Time elapsed: 0.148 s
% 1.57/0.58 % (10005)Instructions burned: 7 (million)
% 1.57/0.58 % (10005)------------------------------
% 1.57/0.58 % (10005)------------------------------
% 1.57/0.59 % (10021)Refutation found. Thanks to Tanya!
% 1.57/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.57/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.59 % (10021)------------------------------
% 1.57/0.59 % (10021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (10021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (10021)Termination reason: Refutation
% 1.57/0.59
% 1.57/0.59 % (10021)Memory used [KB]: 5373
% 1.57/0.59 % (10021)Time elapsed: 0.161 s
% 1.57/0.59 % (10021)Instructions burned: 2 (million)
% 1.57/0.59 % (10021)------------------------------
% 1.57/0.59 % (10021)------------------------------
% 1.57/0.59 % (9998)Success in time 0.232 s
%------------------------------------------------------------------------------