TSTP Solution File: SEU362+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SEU362+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 : 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 18:29:15 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 65 ( 22 unt; 0 def)
% Number of atoms : 284 ( 36 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 300 ( 81 ~; 60 |; 123 &)
% ( 5 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 140 ( 92 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f275,plain,
$false,
inference(subsumption_resolution,[],[f267,f266]) ).
fof(f266,plain,
element(ordered_pair(sK10,sK11),the_InternalRel(sK6)),
inference(unit_resulting_resolution,[],[f186,f206,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(X1))
| ~ in(X0,X2)
| element(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ element(X2,powerset(X1))
| element(X0,X1)
| ~ in(X0,X2) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0,X2] :
( ~ element(X2,powerset(X0))
| element(X1,X0)
| ~ in(X1,X2) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X0,X2,X1] :
( element(X1,X0)
| ~ in(X1,X2)
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X2,X1] :
( ( in(X1,X2)
& element(X2,powerset(X0)) )
=> element(X1,X0) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X2,X0,X1] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f206,plain,
element(the_InternalRel(sK7),powerset(the_InternalRel(sK6))),
inference(unit_resulting_resolution,[],[f177,f149]) ).
fof(f149,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ~ element(X0,powerset(X1)) )
& ( element(X0,powerset(X1))
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> element(X0,powerset(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f177,plain,
subset(the_InternalRel(sK7),the_InternalRel(sK6)),
inference(unit_resulting_resolution,[],[f146,f145,f173,f163]) ).
fof(f163,plain,
! [X0,X1] :
( subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ rel_str(X0)
| ~ rel_str(X1)
| ~ subrelstr(X1,X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subset(the_carrier(X1),the_carrier(X0)) )
& ( ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) ) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ subset(the_carrier(X1),the_carrier(X0)) )
& ( ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ( subrelstr(X1,X0)
<=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) )
| ~ rel_str(X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X0)
<=> ( subset(the_InternalRel(X1),the_InternalRel(X0))
& subset(the_carrier(X1),the_carrier(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f173,plain,
rel_str(sK7),
inference(unit_resulting_resolution,[],[f146,f145,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ rel_str(X0)
| ! [X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f145,plain,
subrelstr(sK7,sK6),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( rel_str(sK6)
& subrelstr(sK7,sK6)
& element(sK8,the_carrier(sK6))
& element(sK10,the_carrier(sK7))
& ~ related(sK6,sK8,sK9)
& sK9 = sK11
& sK8 = sK10
& element(sK11,the_carrier(sK7))
& related(sK7,sK10,sK11)
& element(sK9,the_carrier(sK6)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f65,f100,f99,f98,f97,f96,f95]) ).
fof(f95,plain,
( ? [X0] :
( rel_str(X0)
& ? [X1] :
( subrelstr(X1,X0)
& ? [X2] :
( element(X2,the_carrier(X0))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ~ related(X0,X2,X3)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1))
& related(X1,X4,X5) ) )
& element(X3,the_carrier(X0)) ) ) ) )
=> ( rel_str(sK6)
& ? [X1] :
( subrelstr(X1,sK6)
& ? [X2] :
( element(X2,the_carrier(sK6))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ~ related(sK6,X2,X3)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1))
& related(X1,X4,X5) ) )
& element(X3,the_carrier(sK6)) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X1] :
( subrelstr(X1,sK6)
& ? [X2] :
( element(X2,the_carrier(sK6))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ~ related(sK6,X2,X3)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1))
& related(X1,X4,X5) ) )
& element(X3,the_carrier(sK6)) ) ) )
=> ( subrelstr(sK7,sK6)
& ? [X2] :
( element(X2,the_carrier(sK6))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,X2,X3)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(sK7))
& related(sK7,X4,X5) ) )
& element(X3,the_carrier(sK6)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X2] :
( element(X2,the_carrier(sK6))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,X2,X3)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(sK7))
& related(sK7,X4,X5) ) )
& element(X3,the_carrier(sK6)) ) )
=> ( element(sK8,the_carrier(sK6))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,sK8,X3)
& X3 = X5
& sK8 = X4
& element(X5,the_carrier(sK7))
& related(sK7,X4,X5) ) )
& element(X3,the_carrier(sK6)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
( ? [X3] :
( ? [X4] :
( element(X4,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,sK8,X3)
& X3 = X5
& sK8 = X4
& element(X5,the_carrier(sK7))
& related(sK7,X4,X5) ) )
& element(X3,the_carrier(sK6)) )
=> ( ? [X4] :
( element(X4,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,sK8,sK9)
& sK9 = X5
& sK8 = X4
& element(X5,the_carrier(sK7))
& related(sK7,X4,X5) ) )
& element(sK9,the_carrier(sK6)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X4] :
( element(X4,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,sK8,sK9)
& sK9 = X5
& sK8 = X4
& element(X5,the_carrier(sK7))
& related(sK7,X4,X5) ) )
=> ( element(sK10,the_carrier(sK7))
& ? [X5] :
( ~ related(sK6,sK8,sK9)
& sK9 = X5
& sK8 = sK10
& element(X5,the_carrier(sK7))
& related(sK7,sK10,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X5] :
( ~ related(sK6,sK8,sK9)
& sK9 = X5
& sK8 = sK10
& element(X5,the_carrier(sK7))
& related(sK7,sK10,X5) )
=> ( ~ related(sK6,sK8,sK9)
& sK9 = sK11
& sK8 = sK10
& element(sK11,the_carrier(sK7))
& related(sK7,sK10,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
? [X0] :
( rel_str(X0)
& ? [X1] :
( subrelstr(X1,X0)
& ? [X2] :
( element(X2,the_carrier(X0))
& ? [X3] :
( ? [X4] :
( element(X4,the_carrier(X1))
& ? [X5] :
( ~ related(X0,X2,X3)
& X3 = X5
& X2 = X4
& element(X5,the_carrier(X1))
& related(X1,X4,X5) ) )
& element(X3,the_carrier(X0)) ) ) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X0,X2,X3)
& X3 = X5
& related(X1,X4,X5)
& X2 = X4
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X3 = X5
& related(X1,X4,X5)
& X2 = X4 )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X3 = X5
& related(X1,X4,X5)
& X2 = X4 )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).
fof(f146,plain,
rel_str(sK6),
inference(cnf_transformation,[],[f101]) ).
fof(f186,plain,
in(ordered_pair(sK10,sK11),the_InternalRel(sK7)),
inference(unit_resulting_resolution,[],[f173,f139,f138,f143,f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ element(X2,the_carrier(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) ) ) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ~ element(X1,the_carrier(X0))
| ! [X2] :
( ~ element(X2,the_carrier(X0))
| ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f143,plain,
element(sK10,the_carrier(sK7)),
inference(cnf_transformation,[],[f101]) ).
fof(f138,plain,
related(sK7,sK10,sK11),
inference(cnf_transformation,[],[f101]) ).
fof(f139,plain,
element(sK11,the_carrier(sK7)),
inference(cnf_transformation,[],[f101]) ).
fof(f267,plain,
~ element(ordered_pair(sK10,sK11),the_InternalRel(sK6)),
inference(unit_resulting_resolution,[],[f187,f265,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ element(X1,X0)
| empty(X0)
| in(X1,X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( empty(X0)
| ~ element(X1,X0)
| in(X1,X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X1,X0] :
( in(X1,X0)
| empty(X0)
| ~ element(X1,X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( element(X1,X0)
=> ( in(X1,X0)
| empty(X0) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f265,plain,
~ empty(the_InternalRel(sK6)),
inference(unit_resulting_resolution,[],[f186,f206,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ element(X0,powerset(X2))
| ~ empty(X2)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ in(X1,X0)
| ~ element(X0,powerset(X2))
| ~ empty(X2) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X2,X1,X0] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X0))
| ~ empty(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0,X2] :
~ ( in(X1,X2)
& element(X2,powerset(X0))
& empty(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X2,X0,X1] :
~ ( element(X1,powerset(X2))
& in(X0,X1)
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f187,plain,
~ in(ordered_pair(sK10,sK11),the_InternalRel(sK6)),
inference(unit_resulting_resolution,[],[f146,f166,f167,f168,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0)
| related(X0,X1,X2)
| ~ element(X1,the_carrier(X0)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f168,plain,
element(sK11,the_carrier(sK6)),
inference(definition_unfolding,[],[f137,f141]) ).
fof(f141,plain,
sK9 = sK11,
inference(cnf_transformation,[],[f101]) ).
fof(f137,plain,
element(sK9,the_carrier(sK6)),
inference(cnf_transformation,[],[f101]) ).
fof(f167,plain,
~ related(sK6,sK10,sK11),
inference(definition_unfolding,[],[f142,f140,f141]) ).
fof(f140,plain,
sK8 = sK10,
inference(cnf_transformation,[],[f101]) ).
fof(f142,plain,
~ related(sK6,sK8,sK9),
inference(cnf_transformation,[],[f101]) ).
fof(f166,plain,
element(sK10,the_carrier(sK6)),
inference(definition_unfolding,[],[f144,f140]) ).
fof(f144,plain,
element(sK8,the_carrier(sK6)),
inference(cnf_transformation,[],[f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU362+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 15:11:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % (1826)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (1818)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)
% 0.20/0.52 % (1826)First to succeed.
% 0.20/0.52 % (1830)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (1846)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.52 % (1818)Instruction limit reached!
% 0.20/0.52 % (1818)------------------------------
% 0.20/0.52 % (1818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (1826)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (1826)------------------------------
% 0.20/0.53 % (1826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1826)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (1826)Memory used [KB]: 6140
% 0.20/0.53 % (1826)Time elapsed: 0.111 s
% 0.20/0.53 % (1826)Instructions burned: 7 (million)
% 0.20/0.53 % (1826)------------------------------
% 0.20/0.53 % (1826)------------------------------
% 0.20/0.53 % (1814)Success in time 0.175 s
%------------------------------------------------------------------------------