TSTP Solution File: COL075-2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% 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 15:51:59 EDT 2022
% Result : Unsatisfiable 1.46s 0.53s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(trivial_inequality_removal,[],[f116]) ).
fof(f116,plain,
apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))) != apply(b(apply(apply(abstraction,abstraction),k)),b(apply(apply(abstraction,abstraction),k))),
inference(superposition,[],[f99,f1]) ).
fof(f1,axiom,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_definition) ).
fof(f99,plain,
! [X6] : apply(b(apply(apply(abstraction,abstraction),X6)),apply(apply(X6,b(apply(apply(abstraction,abstraction),X6))),c(apply(apply(abstraction,abstraction),X6)))) != apply(b(apply(apply(abstraction,abstraction),X6)),b(apply(apply(abstraction,abstraction),X6))),
inference(superposition,[],[f3,f17]) ).
fof(f17,plain,
! [X2,X0,X1] : apply(apply(apply(apply(abstraction,abstraction),X1),X0),X2) = apply(X0,apply(apply(X1,X0),X2)),
inference(forward_demodulation,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : apply(apply(apply(k,X0),apply(k,X2)),apply(apply(X1,X0),X2)) = apply(apply(apply(apply(abstraction,abstraction),X1),X0),X2),
inference(superposition,[],[f2,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : apply(apply(apply(abstraction,X0),X1),X2) = apply(apply(X0,apply(k,X2)),apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstraction) ).
fof(f3,axiom,
! [X1] : apply(apply(X1,b(X1)),c(X1)) != apply(b(X1),b(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_diagonal_combinator) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL075-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 16:50:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (1848)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)
% 0.20/0.50 % (1857)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)
% 0.20/0.50 % (1849)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)
% 1.30/0.51 % (1849)Refutation not found, incomplete strategy% (1849)------------------------------
% 1.30/0.51 % (1849)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.51 % (1849)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.51 % (1849)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.51
% 1.30/0.51 % (1849)Memory used [KB]: 5373
% 1.30/0.51 % (1849)Time elapsed: 0.059 s
% 1.30/0.51 % (1849)------------------------------
% 1.30/0.51 % (1849)------------------------------
% 1.30/0.51 % (1864)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)
% 1.30/0.51 % (1841)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)
% 1.30/0.51 % (1856)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)
% 1.30/0.51 % (1837)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)
% 1.30/0.52 % (1838)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)
% 1.30/0.52 % (1841)Instruction limit reached!
% 1.30/0.52 % (1841)------------------------------
% 1.30/0.52 % (1841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (1841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (1841)Termination reason: Unknown
% 1.30/0.52 % (1841)Termination phase: Saturation
% 1.30/0.52
% 1.30/0.52 % (1841)Memory used [KB]: 5628
% 1.30/0.52 % (1841)Time elapsed: 0.076 s
% 1.30/0.52 % (1841)Instructions burned: 7 (million)
% 1.30/0.52 % (1841)------------------------------
% 1.30/0.52 % (1841)------------------------------
% 1.30/0.52 % (1835)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 1.30/0.52 % (1853)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)
% 1.30/0.52 % (1846)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)
% 1.30/0.52 % (1842)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.46/0.53 % (1847)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 1.46/0.53 % (1834)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 1.46/0.53 % (1846)First to succeed.
% 1.46/0.53 % (1859)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)
% 1.46/0.53 % (1846)Refutation found. Thanks to Tanya!
% 1.46/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.53 % (1846)------------------------------
% 1.46/0.53 % (1846)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.53 % (1846)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.53 % (1846)Termination reason: Refutation
% 1.46/0.53
% 1.46/0.53 % (1846)Memory used [KB]: 5628
% 1.46/0.53 % (1846)Time elapsed: 0.131 s
% 1.46/0.53 % (1846)Instructions burned: 10 (million)
% 1.46/0.53 % (1846)------------------------------
% 1.46/0.53 % (1846)------------------------------
% 1.46/0.53 % (1833)Success in time 0.186 s
%------------------------------------------------------------------------------