TSTP Solution File: NUM557+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM557+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 : n017.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 18:05:48 EDT 2022
% Result : Theorem 1.52s 0.56s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 142 ( 40 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 188 ( 71 ~; 71 |; 38 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 46 ( 42 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f607,plain,
$false,
inference(unit_resulting_resolution,[],[f253,f358,f317,f606]) ).
fof(f606,plain,
! [X1] :
( aElementOf0(xP,slbdtsldtrb0(X1,xk))
| ~ aSet0(X1)
| ~ aSubsetOf0(xP,X1) ),
inference(subsumption_resolution,[],[f602,f273]) ).
fof(f273,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f602,plain,
! [X1] :
( ~ aSet0(X1)
| ~ aSubsetOf0(xP,X1)
| aElementOf0(xP,slbdtsldtrb0(X1,xk))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[],[f375,f357]) ).
fof(f357,plain,
xk = sbrdtbr0(xP),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
( aSubsetOf0(xP,xS)
& xk = sbrdtbr0(xP) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2431) ).
fof(f375,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| ~ aSubsetOf0(X4,X0) ),
inference(equality_resolution,[],[f374]) ).
fof(f374,plain,
! [X2,X0,X4] :
( ~ aElementOf0(sbrdtbr0(X4),szNzAzT0)
| aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f258]) ).
fof(f258,plain,
! [X2,X0,X1,X4] :
( ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ( ( ~ aElementOf0(sK5(X0,X1,X2),X2)
| sbrdtbr0(sK5(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK5(X0,X1,X2),X0) )
& ( aElementOf0(sK5(X0,X1,X2),X2)
| ( sbrdtbr0(sK5(X0,X1,X2)) = X1
& aSubsetOf0(sK5(X0,X1,X2),X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f183,f184]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) ) )
=> ( ( ~ aElementOf0(sK5(X0,X1,X2),X2)
| sbrdtbr0(sK5(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK5(X0,X1,X2),X0) )
& ( aElementOf0(sK5(X0,X1,X2),X2)
| ( sbrdtbr0(sK5(X0,X1,X2)) = X1
& aSubsetOf0(sK5(X0,X1,X2),X0) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) )
& ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( aElementOf0(X3,X2)
| ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) )
& ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
<=> aElementOf0(X3,X2) ) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
<=> aElementOf0(X3,X2) ) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X1,X0] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( aSet0(X2)
& ! [X3] :
( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
<=> aElementOf0(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f317,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(flattening,[],[f74]) ).
fof(f74,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[],[f73]) ).
fof(f73,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f358,plain,
aSubsetOf0(xP,xS),
inference(cnf_transformation,[],[f72]) ).
fof(f253,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& sz00 != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM557+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 06:27:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (19809)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)
% 0.19/0.50 % (19807)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 % (19818)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)
% 0.19/0.51 % (19806)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (19806)Instruction limit reached!
% 0.19/0.51 % (19806)------------------------------
% 0.19/0.51 % (19806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (19806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (19806)Termination reason: Unknown
% 0.19/0.51 % (19806)Termination phase: Naming
% 0.19/0.51
% 0.19/0.51 % (19806)Memory used [KB]: 1023
% 0.19/0.51 % (19806)Time elapsed: 0.002 s
% 0.19/0.51 % (19806)Instructions burned: 2 (million)
% 0.19/0.51 % (19806)------------------------------
% 0.19/0.51 % (19806)------------------------------
% 0.19/0.51 % (19810)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (19826)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (19800)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)
% 0.19/0.52 % (19819)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (19802)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (19808)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (19820)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)
% 0.19/0.53 % (19812)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 % (19799)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)
% 0.19/0.53 % (19798)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)
% 0.19/0.53 % (19825)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 % (19803)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)
% 0.19/0.53 % (19811)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (19816)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (19801)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)
% 0.19/0.54 % (19804)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)
% 0.19/0.54 % (19827)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)
% 0.19/0.55 % (19822)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.55 % (19821)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)
% 1.52/0.55 % (19799)First to succeed.
% 1.52/0.55 % (19805)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.52/0.56 % (19799)Refutation found. Thanks to Tanya!
% 1.52/0.56 % SZS status Theorem for theBenchmark
% 1.52/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56 % (19799)------------------------------
% 1.52/0.56 % (19799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (19799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (19799)Termination reason: Refutation
% 1.52/0.56
% 1.52/0.56 % (19799)Memory used [KB]: 5884
% 1.52/0.56 % (19799)Time elapsed: 0.141 s
% 1.52/0.56 % (19799)Instructions burned: 16 (million)
% 1.52/0.56 % (19799)------------------------------
% 1.52/0.56 % (19799)------------------------------
% 1.52/0.56 % (19797)Success in time 0.203 s
%------------------------------------------------------------------------------