TSTP Solution File: GEO504+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GEO504+1 : TPTP v8.1.0. Released v7.0.0.
% 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 : n020.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 16:12:58 EDT 2022
% Result : Theorem 2.01s 0.67s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 80 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 37 ~; 28 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 112 ( 103 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1596,plain,
$false,
inference(subsumption_resolution,[],[f1592,f877]) ).
fof(f877,plain,
~ s_e(sK1,sK0,sK1,s(sK2,sK0)),
inference(resolution,[],[f423,f404]) ).
fof(f404,plain,
~ s_r(sK1,sK2,sK0),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ~ s_r(sK1,sK2,sK0)
& s_r(sK0,sK2,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f280,f281]) ).
fof(f281,plain,
( ? [X0,X1,X2] :
( ~ s_r(X1,X2,X0)
& s_r(X0,X2,X1) )
=> ( ~ s_r(sK1,sK2,sK0)
& s_r(sK0,sK2,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
? [X0,X1,X2] :
( ~ s_r(X1,X2,X0)
& s_r(X0,X2,X1) ),
inference(rectify,[],[f259]) ).
fof(f259,plain,
? [X2,X1,X0] :
( ~ s_r(X1,X0,X2)
& s_r(X2,X0,X1) ),
inference(ennf_transformation,[],[f254]) ).
fof(f254,plain,
~ ! [X2,X1,X0] :
( s_r(X1,X0,X2)
| ~ s_r(X2,X0,X1) ),
inference(rectify,[],[f119]) ).
fof(f119,negated_conjecture,
~ ! [X14,X13,X11] :
( ~ s_r(X11,X14,X13)
| s_r(X13,X14,X11) ),
inference(negated_conjecture,[],[f118]) ).
fof(f118,conjecture,
! [X14,X13,X11] :
( ~ s_r(X11,X14,X13)
| s_r(X13,X14,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f423,plain,
! [X2,X0,X1] :
( s_r(X2,X0,X1)
| ~ s_e(X2,X1,X2,s(X0,X1)) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0,X1,X2] :
( ( ~ s_r(X2,X0,X1)
| s_e(X2,X1,X2,s(X0,X1)) )
& ( s_r(X2,X0,X1)
| ~ s_e(X2,X1,X2,s(X0,X1)) ) ),
inference(rectify,[],[f242]) ).
fof(f242,plain,
! [X2,X1,X0] :
( ( ~ s_r(X0,X2,X1)
| s_e(X0,X1,X0,s(X2,X1)) )
& ( s_r(X0,X2,X1)
| ~ s_e(X0,X1,X0,s(X2,X1)) ) ),
inference(rectify,[],[f130]) ).
fof(f130,axiom,
! [X11,X13,X14] :
( ( s_r(X11,X14,X13)
| ~ s_e(X11,X13,X11,s(X14,X13)) )
& ( s_e(X11,X13,X11,s(X14,X13))
| ~ s_r(X11,X14,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f1592,plain,
s_e(sK1,sK0,sK1,s(sK2,sK0)),
inference(resolution,[],[f1586,f525]) ).
fof(f525,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X0,X3,X2,X1)
| s_e(X2,X1,X0,X3) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0,X1,X2,X3] :
( s_e(X2,X1,X0,X3)
| ~ s_e(X0,X3,X2,X1) ),
inference(rectify,[],[f239]) ).
fof(f239,plain,
! [X1,X3,X2,X0] :
( s_e(X2,X3,X1,X0)
| ~ s_e(X1,X0,X2,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X14,X11,X13,X16] :
( s_e(X13,X16,X11,X14)
| ~ s_e(X11,X14,X13,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f1586,plain,
s_e(sK1,s(sK2,sK0),sK1,sK0),
inference(resolution,[],[f1578,f542]) ).
fof(f542,plain,
! [X2,X3,X0,X1] :
( ~ s_e(X3,X1,X2,X0)
| s_e(X1,X3,X0,X2) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0,X1,X2,X3] :
( ~ s_e(X3,X1,X2,X0)
| s_e(X1,X3,X0,X2) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X2,X0,X3,X1] :
( ~ s_e(X1,X0,X3,X2)
| s_e(X0,X1,X2,X3) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X14,X11,X16,X13] :
( ~ s_e(X11,X14,X13,X16)
| s_e(X14,X11,X16,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f1578,plain,
s_e(s(sK2,sK0),sK1,sK0,sK1),
inference(superposition,[],[f1421,f398]) ).
fof(f398,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(rectify,[],[f243]) ).
fof(f243,plain,
! [X1,X0] : s(X1,s(X1,X0)) = X0,
inference(rectify,[],[f99]) ).
fof(f99,axiom,
! [X12,X11] : s(X11,s(X11,X12)) = X12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f1421,plain,
! [X0] : s_e(s(X0,sK0),s(X0,s(sK2,sK1)),sK0,sK1),
inference(resolution,[],[f1373,f524]) ).
fof(f524,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X2,X0,X1] : s_e(X2,X0,s(X1,X2),s(X1,X0)),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
! [X15,X11,X12] : s_e(X12,X15,s(X11,X12),s(X11,X15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f1373,plain,
! [X54,X53] :
( ~ s_e(sK0,s(sK2,sK1),X53,X54)
| s_e(X53,X54,sK0,sK1) ),
inference(resolution,[],[f458,f881]) ).
fof(f881,plain,
s_e(sK0,s(sK2,sK1),sK0,sK1),
inference(resolution,[],[f878,f525]) ).
fof(f878,plain,
s_e(sK0,sK1,sK0,s(sK2,sK1)),
inference(resolution,[],[f424,f403]) ).
fof(f403,plain,
s_r(sK0,sK2,sK1),
inference(cnf_transformation,[],[f282]) ).
fof(f424,plain,
! [X2,X0,X1] :
( ~ s_r(X2,X0,X1)
| s_e(X2,X1,X2,s(X0,X1)) ),
inference(cnf_transformation,[],[f296]) ).
fof(f458,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ s_e(X3,X5,X0,X4)
| ~ s_e(X3,X5,X2,X1)
| s_e(X2,X1,X0,X4) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X2,X1,X0,X4)
| ~ s_e(X3,X5,X2,X1)
| ~ s_e(X3,X5,X0,X4) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
! [X2,X3,X4,X1,X5,X0] :
( s_e(X4,X3,X2,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ s_e(X1,X0,X2,X5) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0,X4,X3,X2,X5] :
( ~ s_e(X0,X1,X2,X3)
| ~ s_e(X0,X1,X4,X5)
| s_e(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aA2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO504+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 21:56:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 % (28524)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)
% 0.20/0.50 % (28532)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)
% 0.20/0.52 % (28540)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)
% 0.20/0.53 % (28520)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)
% 0.20/0.54 % (28521)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)
% 0.20/0.56 % (28546)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (28524)Instruction limit reached!
% 0.20/0.56 % (28524)------------------------------
% 0.20/0.56 % (28524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28524)Termination reason: Unknown
% 0.20/0.56 % (28524)Termination phase: Finite model building constraint generation
% 0.20/0.56
% 0.20/0.56 % (28524)Memory used [KB]: 14839
% 0.20/0.56 % (28524)Time elapsed: 0.037 s
% 0.20/0.56 % (28524)Instructions burned: 51 (million)
% 0.20/0.56 % (28524)------------------------------
% 0.20/0.56 % (28524)------------------------------
% 0.20/0.57 % (28534)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)
% 0.20/0.57 % (28522)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (28528)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (28523)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)
% 0.20/0.57 % (28537)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)
% 0.20/0.57 % (28518)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)
% 0.20/0.57 % (28527)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)
% 0.20/0.58 % (28533)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.59 % (28542)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.69/0.59 % (28541)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.69/0.60 % (28535)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.69/0.60 % (28519)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)
% 1.69/0.60 % (28536)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.69/0.61 % (28525)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.01/0.61 % (28544)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)
% 2.01/0.61 % (28538)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)
% 2.01/0.61 % (28543)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.01/0.61 % (28520)Instruction limit reached!
% 2.01/0.61 % (28520)------------------------------
% 2.01/0.61 % (28520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (28525)Instruction limit reached!
% 2.01/0.61 % (28525)------------------------------
% 2.01/0.61 % (28525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.61 % (28525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.61 % (28525)Termination reason: Unknown
% 2.01/0.61 % (28525)Termination phase: Function definition elimination
% 2.01/0.61
% 2.01/0.61 % (28525)Memory used [KB]: 1279
% 2.01/0.61 % (28525)Time elapsed: 0.006 s
% 2.01/0.61 % (28525)Instructions burned: 7 (million)
% 2.01/0.61 % (28525)------------------------------
% 2.01/0.61 % (28525)------------------------------
% 2.01/0.62 % (28539)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.01/0.62 % (28520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.62 % (28520)Termination reason: Unknown
% 2.01/0.62 % (28520)Termination phase: Saturation
% 2.01/0.62
% 2.01/0.62 % (28520)Memory used [KB]: 1535
% 2.01/0.62 % (28520)Time elapsed: 0.178 s
% 2.01/0.62 % (28520)Instructions burned: 37 (million)
% 2.01/0.62 % (28520)------------------------------
% 2.01/0.62 % (28520)------------------------------
% 2.01/0.62 % (28526)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.01/0.62 % (28545)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)
% 2.01/0.63 % (28530)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.01/0.63 % (28531)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.01/0.64 % (28529)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)
% 2.01/0.64 % (28526)Instruction limit reached!
% 2.01/0.64 % (28526)------------------------------
% 2.01/0.64 % (28526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.64 % (28526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.64 % (28526)Termination reason: Unknown
% 2.01/0.64 % (28526)Termination phase: Preprocessing 1
% 2.01/0.64
% 2.01/0.64 % (28526)Memory used [KB]: 1151
% 2.01/0.64 % (28526)Time elapsed: 0.003 s
% 2.01/0.64 % (28526)Instructions burned: 3 (million)
% 2.01/0.64 % (28526)------------------------------
% 2.01/0.64 % (28526)------------------------------
% 2.01/0.64 % (28547)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)
% 2.01/0.66 % (28521)Instruction limit reached!
% 2.01/0.66 % (28521)------------------------------
% 2.01/0.66 % (28521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.66 % (28521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.01/0.66 % (28521)Termination reason: Unknown
% 2.01/0.66 % (28521)Termination phase: Saturation
% 2.01/0.66
% 2.01/0.66 % (28521)Memory used [KB]: 6268
% 2.01/0.66 % (28521)Time elapsed: 0.219 s
% 2.01/0.66 % (28521)Instructions burned: 51 (million)
% 2.01/0.66 % (28521)------------------------------
% 2.01/0.66 % (28521)------------------------------
% 2.01/0.66 % (28540)First to succeed.
% 2.01/0.66 % (28532)Instruction limit reached!
% 2.01/0.66 % (28532)------------------------------
% 2.01/0.66 % (28532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.01/0.67 % (28540)Refutation found. Thanks to Tanya!
% 2.01/0.67 % SZS status Theorem for theBenchmark
% 2.01/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/0.67 % (28540)------------------------------
% 2.45/0.67 % (28540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.67 % (28540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.67 % (28540)Termination reason: Refutation
% 2.45/0.67
% 2.45/0.67 % (28540)Memory used [KB]: 1918
% 2.45/0.67 % (28540)Time elapsed: 0.266 s
% 2.45/0.67 % (28540)Instructions burned: 64 (million)
% 2.45/0.67 % (28540)------------------------------
% 2.45/0.67 % (28540)------------------------------
% 2.45/0.67 % (28517)Success in time 0.314 s
%------------------------------------------------------------------------------