TSTP Solution File: SEU132+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.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 18:26:48 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 9 unt; 0 def)
% Number of atoms : 157 ( 13 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 192 ( 75 ~; 65 |; 39 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 98 ( 82 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f112,plain,
$false,
inference(subsumption_resolution,[],[f105,f101]) ).
fof(f101,plain,
~ in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),sK3),
inference(subsumption_resolution,[],[f97,f89]) ).
fof(f89,plain,
~ in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),sK2),
inference(resolution,[],[f79,f66]) ).
fof(f66,plain,
! [X2,X3,X0] :
( ~ in(X3,set_difference(X2,X0))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| ~ in(X3,X1)
| set_difference(X2,X0) != X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( ~ in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_difference(X2,X0) != X1 )
& ( set_difference(X2,X0) = X1
| ( ( ~ in(sK4(X0,X1,X2),X1)
| in(sK4(X0,X1,X2),X0)
| ~ in(sK4(X0,X1,X2),X2) )
& ( in(sK4(X0,X1,X2),X1)
| ( ~ in(sK4(X0,X1,X2),X0)
& in(sK4(X0,X1,X2),X2) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) )
& ( in(X4,X1)
| ( ~ in(X4,X0)
& in(X4,X2) ) ) )
=> ( ( ~ in(sK4(X0,X1,X2),X1)
| in(sK4(X0,X1,X2),X0)
| ~ in(sK4(X0,X1,X2),X2) )
& ( in(sK4(X0,X1,X2),X1)
| ( ~ in(sK4(X0,X1,X2),X0)
& in(sK4(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( ~ in(X3,X0)
& in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_difference(X2,X0) != X1 )
& ( set_difference(X2,X0) = X1
| ? [X4] :
( ( ~ in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) )
& ( in(X4,X1)
| ( ~ in(X4,X0)
& in(X4,X2) ) ) ) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( ( ~ in(X3,X2)
& in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0) ) )
| set_difference(X0,X2) != X1 )
& ( set_difference(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0) )
& ( in(X3,X1)
| ( ~ in(X3,X2)
& in(X3,X0) ) ) ) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( ( ! [X3] :
( ( ( ~ in(X3,X2)
& in(X3,X0) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0) ) )
| set_difference(X0,X2) != X1 )
& ( set_difference(X0,X2) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0) )
& ( in(X3,X1)
| ( ~ in(X3,X2)
& in(X3,X0) ) ) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X1,X0] :
( ! [X3] :
( ( ~ in(X3,X2)
& in(X3,X0) )
<=> in(X3,X1) )
<=> set_difference(X0,X2) = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1] :
( ! [X3] :
( ( in(X3,X0)
& ~ in(X3,X1) )
<=> in(X3,X2) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f79,plain,
in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),set_difference(sK1,sK2)),
inference(resolution,[],[f48,f58]) ).
fof(f58,plain,
! [X0,X1] :
( in(sK5(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( in(sK5(X0,X1),X0)
& ~ in(sK5(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f39,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) )
=> ( in(sK5(X0,X1),X0)
& ~ in(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( in(X3,X0)
& ~ in(X3,X1) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( in(X2,X0)
& ~ in(X2,X1) ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ! [X2] :
( ~ in(X2,X0)
| in(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f48,plain,
~ subset(set_difference(sK1,sK2),set_difference(sK3,sK2)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( subset(sK1,sK3)
& ~ subset(set_difference(sK1,sK2),set_difference(sK3,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1,X2] :
( subset(X0,X2)
& ~ subset(set_difference(X0,X1),set_difference(X2,X1)) )
=> ( subset(sK1,sK3)
& ~ subset(set_difference(sK1,sK2),set_difference(sK3,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1,X2] :
( subset(X0,X2)
& ~ subset(set_difference(X0,X1),set_difference(X2,X1)) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
? [X1,X0,X2] :
( subset(X1,X2)
& ~ subset(set_difference(X1,X0),set_difference(X2,X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X2,X0,X1] :
( subset(X1,X2)
=> subset(set_difference(X1,X0),set_difference(X2,X0)) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X2,X0,X1] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X2,X0,X1] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(f97,plain,
( ~ in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),sK3)
| in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),sK2) ),
inference(resolution,[],[f80,f68]) ).
fof(f68,plain,
! [X2,X3,X0] :
( ~ in(X3,X2)
| in(X3,set_difference(X2,X0))
| in(X3,X0) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2)
| set_difference(X2,X0) != X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
~ in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),set_difference(sK3,sK2)),
inference(resolution,[],[f48,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ in(sK5(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f105,plain,
in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),sK3),
inference(resolution,[],[f90,f78]) ).
fof(f78,plain,
! [X0] :
( ~ in(X0,sK1)
| in(X0,sK3) ),
inference(resolution,[],[f49,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ in(X2,X0)
| ~ subset(X0,X1)
| in(X2,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f49,plain,
subset(sK1,sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f90,plain,
in(sK5(set_difference(sK1,sK2),set_difference(sK3,sK2)),sK1),
inference(resolution,[],[f79,f67]) ).
fof(f67,plain,
! [X2,X3,X0] :
( in(X3,X2)
| ~ in(X3,set_difference(X2,X0)) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( in(X3,X2)
| ~ in(X3,X1)
| set_difference(X2,X0) != X1 ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:45:25 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49 % (32327)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.50 % (32319)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (32319)Instruction limit reached!
% 0.20/0.51 % (32319)------------------------------
% 0.20/0.51 % (32319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (32319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (32319)Termination reason: Unknown
% 0.20/0.51 % (32319)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (32319)Memory used [KB]: 6012
% 0.20/0.51 % (32319)Time elapsed: 0.087 s
% 0.20/0.51 % (32319)Instructions burned: 8 (million)
% 0.20/0.51 % (32319)------------------------------
% 0.20/0.51 % (32319)------------------------------
% 0.20/0.52 % (32316)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (32304)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (32308)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (32306)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (32306)Refutation not found, incomplete strategy% (32306)------------------------------
% 0.20/0.54 % (32306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32306)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (32306)Memory used [KB]: 5884
% 0.20/0.54 % (32306)Time elapsed: 0.134 s
% 0.20/0.54 % (32306)Instructions burned: 2 (million)
% 0.20/0.54 % (32316)Refutation not found, incomplete strategy% (32316)------------------------------
% 0.20/0.54 % (32316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32316)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (32316)Memory used [KB]: 1407
% 0.20/0.54 % (32316)Time elapsed: 0.136 s
% 0.20/0.54 % (32316)Instructions burned: 1 (million)
% 0.20/0.54 % (32316)------------------------------
% 0.20/0.54 % (32316)------------------------------
% 0.20/0.54 % (32314)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (32310)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (32314)First to succeed.
% 0.20/0.54 % (32315)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (32332)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (32314)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (32314)------------------------------
% 0.20/0.54 % (32314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (32314)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (32314)Memory used [KB]: 5884
% 0.20/0.54 % (32314)Time elapsed: 0.133 s
% 0.20/0.54 % (32314)Instructions burned: 2 (million)
% 0.20/0.54 % (32314)------------------------------
% 0.20/0.54 % (32314)------------------------------
% 0.20/0.54 % (32303)Success in time 0.185 s
%------------------------------------------------------------------------------