TSTP Solution File: COL091-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL091-2 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n028.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 15:52:48 EDT 2022
% Result : Unsatisfiable 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 70 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 56 ( 20 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f619,plain,
$false,
inference(subsumption_resolution,[],[f618,f144]) ).
fof(f144,axiom,
! [X12,X13] : combK != comb_app(X12,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).
fof(f618,plain,
combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r)),
inference(resolution,[],[f610,f165]) ).
fof(f165,axiom,
! [X11,X12,X13] :
( ~ ap_contractE_c2(X12,X13,X11)
| comb_app(comb_app(combS,ap_contractE_sk1p(X12,X13,X11)),ap_contractE_sk1q(X12,X13,X11)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).
fof(f610,plain,
ap_contractE_c2(combK,p,r),
inference(subsumption_resolution,[],[f609,f144]) ).
fof(f609,plain,
( ap_contractE_c2(combK,p,r)
| combK = comb_app(combK,r) ),
inference(resolution,[],[f605,f160]) ).
fof(f160,axiom,
! [X11,X12,X13] :
( ~ ap_contractE_c1(X12,X13,X11)
| comb_app(combK,X11) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).
fof(f605,plain,
( ap_contractE_c1(combK,p,r)
| ap_contractE_c2(combK,p,r) ),
inference(subsumption_resolution,[],[f604,f382]) ).
fof(f382,plain,
! [X2,X3] : ~ ap_contractE_c3(combK,X2,X3),
inference(resolution,[],[f268,f220]) ).
fof(f220,plain,
! [X11] : member(pair(combK,X11),contract),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f172,axiom,
! [X11] : ~ member(pair(combK,X11),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).
fof(f268,plain,
! [X11,X12,X13] :
( ~ member(pair(X12,ap_contractE_sk2q(X12,X13,X11)),contract)
| ~ ap_contractE_c3(X12,X13,X11) ),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f166,axiom,
! [X11,X12,X13] :
( ~ ap_contractE_c3(X12,X13,X11)
| member(pair(X12,ap_contractE_sk2q(X12,X13,X11)),contract) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).
fof(f604,plain,
( ap_contractE_c3(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r) ),
inference(resolution,[],[f585,f343]) ).
fof(f343,plain,
( ~ ap_contractE_c4(combK,p,r)
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r)
| ap_contractE_c3(combK,p,r) ),
inference(resolution,[],[f188,f204]) ).
fof(f204,plain,
~ member(pair(comb_app(combK,p),r),contract),
inference(consistent_polarity_flipping,[],[f174]) ).
fof(f174,axiom,
member(pair(comb_app(combK,p),r),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_h1) ).
fof(f188,plain,
! [X11,X12,X13] :
( member(pair(comb_app(X12,X13),X11),contract)
| ap_contractE_c1(X12,X13,X11)
| ~ ap_contractE_c4(X12,X13,X11)
| ap_contractE_c2(X12,X13,X11)
| ap_contractE_c3(X12,X13,X11) ),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f157,axiom,
! [X11,X12,X13] :
( ap_contractE_c3(X12,X13,X11)
| ~ member(pair(comb_app(X12,X13),X11),contract)
| ap_contractE_c2(X12,X13,X11)
| ap_contractE_c4(X12,X13,X11)
| ap_contractE_c1(X12,X13,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).
fof(f585,plain,
ap_contractE_c4(combK,p,r),
inference(trivial_inequality_removal,[],[f561]) ).
fof(f561,plain,
( ap_contractE_c4(combK,p,r)
| r != r ),
inference(superposition,[],[f367,f487]) ).
fof(f487,plain,
r = comb_app(combK,ap_contractE_sk3q(combK,p,r)),
inference(subsumption_resolution,[],[f486,f144]) ).
fof(f486,plain,
( combK = comb_app(comb_app(combS,ap_contractE_sk1p(combK,p,r)),ap_contractE_sk1q(combK,p,r))
| r = comb_app(combK,ap_contractE_sk3q(combK,p,r)) ),
inference(resolution,[],[f484,f165]) ).
fof(f484,plain,
( ap_contractE_c2(combK,p,r)
| r = comb_app(combK,ap_contractE_sk3q(combK,p,r)) ),
inference(subsumption_resolution,[],[f483,f144]) ).
fof(f483,plain,
( combK = comb_app(combK,r)
| ap_contractE_c2(combK,p,r)
| r = comb_app(combK,ap_contractE_sk3q(combK,p,r)) ),
inference(resolution,[],[f400,f160]) ).
fof(f400,plain,
( ap_contractE_c1(combK,p,r)
| r = comb_app(combK,ap_contractE_sk3q(combK,p,r))
| ap_contractE_c2(combK,p,r) ),
inference(resolution,[],[f356,f382]) ).
fof(f356,plain,
( ap_contractE_c3(combK,p,r)
| r = comb_app(combK,ap_contractE_sk3q(combK,p,r))
| ap_contractE_c2(combK,p,r)
| ap_contractE_c1(combK,p,r) ),
inference(resolution,[],[f213,f343]) ).
fof(f213,plain,
! [X11,X12,X13] :
( ap_contractE_c4(X12,X13,X11)
| comb_app(X12,ap_contractE_sk3q(X12,X13,X11)) = X11 ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f171,axiom,
! [X11,X12,X13] :
( ~ ap_contractE_c4(X12,X13,X11)
| comb_app(X12,ap_contractE_sk3q(X12,X13,X11)) = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).
fof(f367,plain,
! [X0,X1] :
( r != comb_app(combK,ap_contractE_sk3q(X0,p,X1))
| ap_contractE_c4(X0,p,X1) ),
inference(resolution,[],[f225,f315]) ).
fof(f315,plain,
! [X13] :
( member(pair(p,X13),contract)
| r != comb_app(combK,X13) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f175,axiom,
! [X13] :
( ~ member(pair(p,X13),contract)
| r != comb_app(combK,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_c1) ).
fof(f225,plain,
! [X11,X12,X13] :
( ~ member(pair(X13,ap_contractE_sk3q(X12,X13,X11)),contract)
| ap_contractE_c4(X12,X13,X11) ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f169,axiom,
! [X11,X12,X13] :
( member(pair(X13,ap_contractE_sk3q(X12,X13,X11)),contract)
| ~ ap_contractE_c4(X12,X13,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL091-2 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n028.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 17:00:32 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 % (622)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.48 % (644)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.49 % (635)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.51 % (616)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (614)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (628)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.52 % (618)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (638)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (626)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (615)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (637)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 % (613)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53 % (619)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (636)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.54 % (617)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (646)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.54 % (625)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 % (634)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (630)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (614)Refutation not found, incomplete strategy% (614)------------------------------
% 0.21/0.54 % (614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (642)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54 % (620)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (624)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (640)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (635)First to succeed.
% 0.21/0.55 % (614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (614)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (614)Memory used [KB]: 5756
% 0.21/0.55 % (614)Time elapsed: 0.112 s
% 0.21/0.55 % (614)Instructions burned: 13 (million)
% 0.21/0.55 % (614)------------------------------
% 0.21/0.55 % (614)------------------------------
% 0.21/0.55 % (645)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (623)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (635)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (635)------------------------------
% 0.21/0.55 % (635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (635)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (635)Memory used [KB]: 1407
% 0.21/0.55 % (635)Time elapsed: 0.125 s
% 0.21/0.55 % (635)Instructions burned: 28 (million)
% 0.21/0.55 % (635)------------------------------
% 0.21/0.55 % (635)------------------------------
% 0.21/0.55 % (612)Success in time 0.197 s
%------------------------------------------------------------------------------