TSTP Solution File: SET928+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n005.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 18:26:07 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 60 ( 9 unt; 0 def)
% Number of atoms : 156 ( 57 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 171 ( 75 ~; 66 |; 22 &)
% ( 4 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 81 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133,plain,
$false,
inference(resolution,[],[f130,f119]) ).
fof(f119,plain,
~ in(sK0,sK2),
inference(trivial_inequality_removal,[],[f117]) ).
fof(f117,plain,
( sK2 != sK2
| ~ in(sK0,sK2) ),
inference(superposition,[],[f71,f114]) ).
fof(f114,plain,
sK2 = set_difference(sK2,unordered_pair(sK0,sK1)),
inference(trivial_inequality_removal,[],[f113]) ).
fof(f113,plain,
( sK2 = set_difference(sK2,unordered_pair(sK0,sK1))
| unordered_pair(sK0,sK1) != unordered_pair(sK0,sK1) ),
inference(duplicate_literal_removal,[],[f110]) ).
fof(f110,plain,
( unordered_pair(sK0,sK1) != unordered_pair(sK0,sK1)
| sK2 = set_difference(sK2,unordered_pair(sK0,sK1))
| sK2 = set_difference(sK2,unordered_pair(sK0,sK1)) ),
inference(superposition,[],[f68,f104]) ).
fof(f104,plain,
( unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2)
| sK2 = set_difference(sK2,unordered_pair(sK0,sK1)) ),
inference(duplicate_literal_removal,[],[f100]) ).
fof(f100,plain,
( unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2)
| sK2 = set_difference(sK2,unordered_pair(sK0,sK1))
| unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2) ),
inference(resolution,[],[f94,f50]) ).
fof(f50,plain,
( ~ in(sK0,sK2)
| unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2) ),
inference(forward_demodulation,[],[f42,f37]) ).
fof(f37,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f42,plain,
( set_difference(unordered_pair(sK1,sK0),sK2) = unordered_pair(sK1,sK0)
| ~ in(sK0,sK2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( in(sK1,sK2)
| in(sK0,sK2)
| set_difference(unordered_pair(sK1,sK0),sK2) != unordered_pair(sK1,sK0) )
& ( ( ~ in(sK1,sK2)
& ~ in(sK0,sK2) )
| set_difference(unordered_pair(sK1,sK0),sK2) = unordered_pair(sK1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f28,f29]) ).
fof(f29,plain,
( ? [X0,X1,X2] :
( ( in(X1,X2)
| in(X0,X2)
| unordered_pair(X1,X0) != set_difference(unordered_pair(X1,X0),X2) )
& ( ( ~ in(X1,X2)
& ~ in(X0,X2) )
| unordered_pair(X1,X0) = set_difference(unordered_pair(X1,X0),X2) ) )
=> ( ( in(sK1,sK2)
| in(sK0,sK2)
| set_difference(unordered_pair(sK1,sK0),sK2) != unordered_pair(sK1,sK0) )
& ( ( ~ in(sK1,sK2)
& ~ in(sK0,sK2) )
| set_difference(unordered_pair(sK1,sK0),sK2) = unordered_pair(sK1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2] :
( ( in(X1,X2)
| in(X0,X2)
| unordered_pair(X1,X0) != set_difference(unordered_pair(X1,X0),X2) )
& ( ( ~ in(X1,X2)
& ~ in(X0,X2) )
| unordered_pair(X1,X0) = set_difference(unordered_pair(X1,X0),X2) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X1,X0,X2] :
( ( in(X0,X2)
| in(X1,X2)
| unordered_pair(X0,X1) != set_difference(unordered_pair(X0,X1),X2) )
& ( ( ~ in(X0,X2)
& ~ in(X1,X2) )
| unordered_pair(X0,X1) = set_difference(unordered_pair(X0,X1),X2) ) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X1,X0,X2] :
( ( in(X0,X2)
| in(X1,X2)
| unordered_pair(X0,X1) != set_difference(unordered_pair(X0,X1),X2) )
& ( ( ~ in(X0,X2)
& ~ in(X1,X2) )
| unordered_pair(X0,X1) = set_difference(unordered_pair(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
? [X1,X0,X2] :
( unordered_pair(X0,X1) = set_difference(unordered_pair(X0,X1),X2)
<~> ( ~ in(X0,X2)
& ~ in(X1,X2) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X1,X0,X2] :
( ( ~ in(X0,X2)
& ~ in(X1,X2) )
<=> unordered_pair(X0,X1) = set_difference(unordered_pair(X0,X1),X2) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X1,X0,X2] :
( ( ~ in(X0,X2)
& ~ in(X1,X2) )
<=> unordered_pair(X0,X1) = set_difference(unordered_pair(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_zfmisc_1) ).
fof(f94,plain,
! [X0] :
( in(X0,sK2)
| unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2)
| sK2 = set_difference(sK2,unordered_pair(X0,sK1)) ),
inference(resolution,[],[f70,f49]) ).
fof(f49,plain,
( ~ in(sK1,sK2)
| unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2) ),
inference(forward_demodulation,[],[f43,f37]) ).
fof(f43,plain,
( set_difference(unordered_pair(sK1,sK0),sK2) = unordered_pair(sK1,sK0)
| ~ in(sK1,sK2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
! [X6,X4,X5] :
( in(X6,X4)
| in(X5,X4)
| set_difference(X4,unordered_pair(X5,X6)) = X4 ),
inference(resolution,[],[f58,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( disjoint(unordered_pair(X2,X0),X1)
| in(X0,X1)
| in(X2,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( in(X0,X1)
| disjoint(unordered_pair(X2,X0),X1)
| in(X2,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X1,X0,X2] :
( in(X1,X0)
| disjoint(unordered_pair(X2,X1),X0)
| in(X2,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X2,X1] :
~ ( ~ disjoint(unordered_pair(X2,X1),X0)
& ~ in(X1,X0)
& ~ in(X2,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X0] :
~ ( ~ disjoint(unordered_pair(X0,X2),X1)
& ~ in(X0,X1)
& ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_zfmisc_1) ).
fof(f58,plain,
! [X0,X1] :
( ~ disjoint(X1,X0)
| set_difference(X0,X1) = X0 ),
inference(resolution,[],[f38,f36]) ).
fof(f36,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ~ disjoint(X1,X0)
| disjoint(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( disjoint(X1,X0)
=> disjoint(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f38,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| set_difference(X0,X1) = X0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| set_difference(X0,X1) != X0 )
& ( set_difference(X0,X1) = X0
| ~ disjoint(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( ( disjoint(X1,X0)
| set_difference(X1,X0) != X1 )
& ( set_difference(X1,X0) = X1
| ~ disjoint(X1,X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( disjoint(X1,X0)
<=> set_difference(X1,X0) = X1 ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X1,X0] :
( set_difference(X0,X1) = X0
<=> disjoint(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
fof(f68,plain,
! [X0,X1] :
( set_difference(X1,X0) != X1
| set_difference(X0,X1) = X0 ),
inference(resolution,[],[f58,f39]) ).
fof(f39,plain,
! [X0,X1] :
( disjoint(X0,X1)
| set_difference(X0,X1) != X0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f71,plain,
! [X2,X0,X1] :
( set_difference(X1,unordered_pair(X0,X2)) != X1
| ~ in(X0,X1) ),
inference(resolution,[],[f61,f39]) ).
fof(f61,plain,
! [X3,X4,X5] :
( ~ disjoint(X4,unordered_pair(X3,X5))
| ~ in(X3,X4) ),
inference(resolution,[],[f40,f36]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ disjoint(unordered_pair(X1,X0),X2)
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ~ in(X1,X2)
| ~ disjoint(unordered_pair(X1,X0),X2) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0,X2] :
( ~ in(X0,X2)
| ~ disjoint(unordered_pair(X0,X1),X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X1] :
~ ( in(X0,X2)
& disjoint(unordered_pair(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_zfmisc_1) ).
fof(f130,plain,
in(sK0,sK2),
inference(resolution,[],[f126,f120]) ).
fof(f120,plain,
~ in(sK1,sK2),
inference(trivial_inequality_removal,[],[f116]) ).
fof(f116,plain,
( sK2 != sK2
| ~ in(sK1,sK2) ),
inference(superposition,[],[f81,f114]) ).
fof(f81,plain,
! [X2,X0,X1] :
( set_difference(X1,unordered_pair(X2,X0)) != X1
| ~ in(X0,X1) ),
inference(resolution,[],[f75,f39]) ).
fof(f75,plain,
! [X3,X4,X5] :
( ~ disjoint(X5,unordered_pair(X4,X3))
| ~ in(X3,X5) ),
inference(superposition,[],[f61,f37]) ).
fof(f126,plain,
( in(sK1,sK2)
| in(sK0,sK2) ),
inference(trivial_inequality_removal,[],[f122]) ).
fof(f122,plain,
( in(sK0,sK2)
| unordered_pair(sK0,sK1) != unordered_pair(sK0,sK1)
| in(sK1,sK2) ),
inference(backward_demodulation,[],[f48,f121]) ).
fof(f121,plain,
unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2),
inference(trivial_inequality_removal,[],[f118]) ).
fof(f118,plain,
( sK2 != sK2
| unordered_pair(sK0,sK1) = set_difference(unordered_pair(sK0,sK1),sK2) ),
inference(superposition,[],[f68,f114]) ).
fof(f48,plain,
( in(sK1,sK2)
| in(sK0,sK2)
| unordered_pair(sK0,sK1) != set_difference(unordered_pair(sK0,sK1),sK2) ),
inference(backward_demodulation,[],[f44,f37]) ).
fof(f44,plain,
( in(sK1,sK2)
| in(sK0,sK2)
| set_difference(unordered_pair(sK1,sK0),sK2) != unordered_pair(sK1,sK0) ),
inference(cnf_transformation,[],[f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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 : n005.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 14:31:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (30204)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)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.49 TRYING [3]
% 0.20/0.50 % (30220)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)
% 0.20/0.50 TRYING [4]
% 0.20/0.50 TRYING [5]
% 0.20/0.50 % (30200)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)
% 0.20/0.50 % (30212)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)
% 0.20/0.50 % (30207)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)
% 0.20/0.50 % (30208)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (30202)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (30207)First to succeed.
% 0.20/0.51 % (30221)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)
% 0.20/0.51 TRYING [6]
% 0.20/0.52 % (30222)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52 % (30205)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (30199)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)
% 0.20/0.52 % (30224)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 % (30199)Refutation not found, incomplete strategy% (30199)------------------------------
% 0.20/0.52 % (30199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (30199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30199)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.52
% 0.20/0.52 % (30199)Memory used [KB]: 5373
% 0.20/0.52 % (30199)Time elapsed: 0.121 s
% 0.20/0.52 % (30199)Instructions burned: 3 (million)
% 0.20/0.52 % (30199)------------------------------
% 0.20/0.52 % (30199)------------------------------
% 0.20/0.52 % (30226)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (30223)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (30207)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Theorem for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (30207)------------------------------
% 0.20/0.53 % (30207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30207)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (30207)Memory used [KB]: 1023
% 0.20/0.53 % (30207)Time elapsed: 0.114 s
% 0.20/0.53 % (30207)Instructions burned: 5 (million)
% 0.20/0.53 % (30207)------------------------------
% 0.20/0.53 % (30207)------------------------------
% 0.20/0.53 % (30197)Success in time 0.175 s
%------------------------------------------------------------------------------