TSTP Solution File: COL060-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : COL060-1 : 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 15:51:52 EDT 2022
% Result : Unsatisfiable 1.46s 0.55s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 14 unt; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 12 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f356,plain,
$false,
inference(unit_resulting_resolution,[],[f7,f7,f342,f14]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| ~ sQ0_eqProxy(X1,X2)
| sQ0_eqProxy(X0,X2) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f4,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f342,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,f(X0)),apply(apply(t,b),apply(b,apply(t,f(X0))))),
inference(unit_resulting_resolution,[],[f5,f331,f14]) ).
fof(f331,plain,
! [X0] : ~ sQ0_eqProxy(apply(X0,f(X0)),apply(apply(b,apply(t,f(X0))),b)),
inference(unit_resulting_resolution,[],[f12,f141,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( sQ0_eqProxy(apply(X0,X2),apply(X1,X3))
| ~ sQ0_eqProxy(X0,X1)
| ~ sQ0_eqProxy(X2,X3) ),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f141,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(X0)),g(X0)),apply(apply(apply(b,apply(t,f(X0))),b),g(X0))),
inference(unit_resulting_resolution,[],[f7,f50,f14]) ).
fof(f50,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(X0)),g(X0)),apply(apply(t,f(X0)),apply(b,g(X0)))),
inference(unit_resulting_resolution,[],[f5,f40,f14]) ).
fof(f40,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(X0,f(X0)),g(X0)),apply(apply(b,g(X0)),f(X0))),
inference(unit_resulting_resolution,[],[f12,f17,f8]) ).
fof(f17,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(apply(X0,f(X0)),g(X0)),h(X0)),apply(apply(apply(b,g(X0)),f(X0)),h(X0))),
inference(unit_resulting_resolution,[],[f7,f6,f14]) ).
fof(f6,plain,
! [X0] : ~ sQ0_eqProxy(apply(apply(apply(X0,f(X0)),g(X0)),h(X0)),apply(g(X0),apply(f(X0),h(X0)))),
inference(equality_proxy_replacement,[],[f3,f4]) ).
fof(f3,axiom,
! [X0] : apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(g(X0),apply(f(X0),h(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_combinator) ).
fof(f12,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f4]) ).
fof(f5,plain,
! [X0,X1] : sQ0_eqProxy(apply(apply(t,X0),X1),apply(X1,X0)),
inference(equality_proxy_replacement,[],[f2,f4]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t_definition) ).
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,f4]) ).
fof(f1,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL060-1 : 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
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:46:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (18594)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)
% 0.20/0.50 % (18582)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.20/0.50 % (18591)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.50 % (18586)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)
% 0.20/0.50 % (18588)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)
% 0.20/0.51 % (18609)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51 % (18587)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)
% 0.20/0.51 % (18593)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)
% 0.20/0.51 % (18611)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.20/0.51 % (18584)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)
% 0.20/0.51 % (18588)Instruction limit reached!
% 0.20/0.51 % (18588)------------------------------
% 0.20/0.51 % (18588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18612)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)
% 0.20/0.52 % (18606)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)
% 1.33/0.52 % (18598)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)
% 1.33/0.52 % (18590)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.33/0.52 % (18603)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 1.33/0.52 % (18613)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)
% 1.33/0.52 % (18588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.52 % (18588)Termination reason: Unknown
% 1.33/0.52 % (18588)Termination phase: Saturation
% 1.33/0.52
% 1.33/0.52 % (18588)Memory used [KB]: 5628
% 1.33/0.52 % (18588)Time elapsed: 0.119 s
% 1.33/0.52 % (18588)Instructions burned: 7 (million)
% 1.33/0.52 % (18588)------------------------------
% 1.33/0.52 % (18588)------------------------------
% 1.33/0.52 % (18604)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)
% 1.33/0.52 % (18595)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)
% 1.33/0.52 % (18596)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)
% 1.33/0.52 % (18583)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)
% 1.33/0.53 % (18605)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)
% 1.33/0.53 % (18607)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)
% 1.33/0.53 % (18585)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)
% 1.33/0.53 % (18600)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 1.33/0.53 % (18585)Instruction limit reached!
% 1.33/0.53 % (18585)------------------------------
% 1.33/0.53 % (18585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (18585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (18585)Termination reason: Unknown
% 1.33/0.53 % (18585)Termination phase: Saturation
% 1.33/0.53
% 1.33/0.53 % (18585)Memory used [KB]: 5500
% 1.33/0.53 % (18585)Time elapsed: 0.137 s
% 1.33/0.53 % (18585)Instructions burned: 6 (million)
% 1.33/0.53 % (18585)------------------------------
% 1.33/0.53 % (18585)------------------------------
% 1.33/0.53 % (18610)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 1.33/0.53 % (18597)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)
% 1.33/0.53 % (18597)Refutation not found, incomplete strategy% (18597)------------------------------
% 1.33/0.53 % (18597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (18589)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.46/0.54 % (18599)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)
% 1.46/0.54 % (18602)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 1.46/0.54 % (18583)Instruction limit reached!
% 1.46/0.54 % (18583)------------------------------
% 1.46/0.54 % (18583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.54 % (18587)First to succeed.
% 1.46/0.54 % (18597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.54 % (18597)Termination reason: Refutation not found, incomplete strategy
% 1.46/0.54
% 1.46/0.54 % (18597)Memory used [KB]: 5373
% 1.46/0.54 % (18597)Time elapsed: 0.140 s
% 1.46/0.54 % (18597)Instructions burned: 1 (million)
% 1.46/0.54 % (18597)------------------------------
% 1.46/0.54 % (18597)------------------------------
% 1.46/0.54 % (18601)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)
% 1.46/0.55 % (18587)Refutation found. Thanks to Tanya!
% 1.46/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.46/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.46/0.55 % (18587)------------------------------
% 1.46/0.55 % (18587)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.46/0.55 % (18587)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.46/0.55 % (18587)Termination reason: Refutation
% 1.46/0.55
% 1.46/0.55 % (18587)Memory used [KB]: 5628
% 1.46/0.55 % (18587)Time elapsed: 0.153 s
% 1.46/0.55 % (18587)Instructions burned: 18 (million)
% 1.46/0.55 % (18587)------------------------------
% 1.46/0.55 % (18587)------------------------------
% 1.46/0.55 % (18579)Success in time 0.201 s
%------------------------------------------------------------------------------