TSTP Solution File: NUM551+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n010.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 18:05:46 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 100 ( 37 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 107 ( 44 ~; 38 |; 17 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 34 ( 27 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f442,plain,
$false,
inference(trivial_inequality_removal,[],[f441]) ).
fof(f441,plain,
sz00 != sz00,
inference(superposition,[],[f332,f430]) ).
fof(f430,plain,
sz00 = xk,
inference(forward_demodulation,[],[f423,f386]) ).
fof(f386,plain,
sz00 = sbrdtbr0(slcrc0),
inference(resolution,[],[f367,f377]) ).
fof(f377,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f352]) ).
fof(f352,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| aElementOf0(sK13(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f229,f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ( slcrc0 = X0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( slcrc0 = X0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f367,plain,
( ~ aSet0(slcrc0)
| sz00 = sbrdtbr0(slcrc0) ),
inference(equality_resolution,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ~ aSet0(X0)
| sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ~ aSet0(X0)
| ( ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) )
& ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 ) ) ),
inference(nnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ~ aSet0(X0)
| ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( slcrc0 = X0
<=> sz00 = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
fof(f423,plain,
xk = sbrdtbr0(slcrc0),
inference(backward_demodulation,[],[f252,f417]) ).
fof(f417,plain,
slcrc0 = xQ,
inference(resolution,[],[f416,f251]) ).
fof(f251,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& aSet0(xQ)
& isFinite0(xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f416,plain,
( ~ aSet0(xQ)
| slcrc0 = xQ ),
inference(duplicate_literal_removal,[],[f414]) ).
fof(f414,plain,
( slcrc0 = xQ
| ~ aSet0(xQ)
| ~ aSet0(xQ)
| ~ aSet0(xQ)
| slcrc0 = xQ ),
inference(resolution,[],[f413,f353]) ).
fof(f353,plain,
! [X0] :
( aElementOf0(sK13(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f231]) ).
fof(f413,plain,
! [X6] :
( ~ aElementOf0(sK13(xQ),X6)
| slcrc0 = xQ
| ~ aSet0(xQ)
| ~ aSet0(X6) ),
inference(resolution,[],[f408,f317]) ).
fof(f317,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f408,plain,
( ~ aElement0(sK13(xQ))
| slcrc0 = xQ
| ~ aSet0(xQ) ),
inference(resolution,[],[f353,f329]) ).
fof(f329,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ~ aElement0(X0)
| ~ aElementOf0(X0,xQ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
inference(negated_conjecture,[],[f68]) ).
fof(f68,conjecture,
? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f252,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f332,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n010.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 : Tue Aug 30 06:53:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (26743)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.48 % (26722)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 % (26731)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)
% 0.19/0.50 TRYING [2]
% 0.19/0.51 % (26731)First to succeed.
% 0.19/0.51 % (26729)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (26746)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51 % (26733)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)
% 0.19/0.51 % (26738)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)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (26727)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)
% 0.19/0.52 % (26735)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (26734)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (26732)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (26730)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (26730)Instruction limit reached!
% 0.19/0.52 % (26730)------------------------------
% 0.19/0.52 % (26730)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26730)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26730)Termination reason: Unknown
% 0.19/0.52 % (26730)Termination phase: Naming
% 0.19/0.52
% 0.19/0.52 % (26730)Memory used [KB]: 1023
% 0.19/0.52 % (26730)Time elapsed: 0.002 s
% 0.19/0.52 % (26730)Instructions burned: 2 (million)
% 0.19/0.52 % (26730)------------------------------
% 0.19/0.52 % (26730)------------------------------
% 0.19/0.52 % (26729)Instruction limit reached!
% 0.19/0.52 % (26729)------------------------------
% 0.19/0.52 % (26729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26729)Termination reason: Unknown
% 0.19/0.52 % (26729)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26729)Memory used [KB]: 5628
% 0.19/0.52 % (26729)Time elapsed: 0.006 s
% 0.19/0.52 % (26729)Instructions burned: 7 (million)
% 0.19/0.52 % (26729)------------------------------
% 0.19/0.52 % (26729)------------------------------
% 0.19/0.53 % (26725)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)
% 0.19/0.53 % (26750)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (26728)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)
% 0.19/0.53 % (26745)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)
% 0.19/0.53 % (26748)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)
% 0.19/0.53 % (26743)Also succeeded, but the first one will report.
% 0.19/0.53 % (26749)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)
% 0.19/0.53 % (26747)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (26731)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (26731)------------------------------
% 0.19/0.53 % (26731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26731)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (26731)Memory used [KB]: 1279
% 0.19/0.53 % (26731)Time elapsed: 0.110 s
% 0.19/0.53 % (26731)Instructions burned: 10 (million)
% 0.19/0.53 % (26731)------------------------------
% 0.19/0.53 % (26731)------------------------------
% 0.19/0.53 % (26721)Success in time 0.194 s
%------------------------------------------------------------------------------