TSTP Solution File: GEO112+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Tue Apr 30 11:14:06 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 6 unt; 0 def)
% Number of atoms : 132 ( 21 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 163 ( 64 ~; 54 |; 38 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 90 ( 76 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f723,plain,
$false,
inference(resolution,[],[f658,f167]) ).
fof(f167,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f159]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( inner_point(X2,sK20(X0,X1,X2,X3))
& end_point(X3,sK20(X0,X1,X2,X3))
& end_point(X1,sK20(X0,X1,X2,X3))
& part_of(sK20(X0,X1,X2,X3),X0)
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f107,f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
=> ( inner_point(X2,sK20(X0,X1,X2,X3))
& end_point(X3,sK20(X0,X1,X2,X3))
& end_point(X1,sK20(X0,X1,X2,X3))
& part_of(sK20(X0,X1,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
<=> ( ? [X7] :
( inner_point(X4,X7)
& end_point(X6,X7)
& end_point(X2,X7)
& part_of(X7,X0) )
& X2 != X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn) ).
fof(f658,plain,
between_c(sK3,sK4,sK5,sK4),
inference(backward_demodulation,[],[f110,f655]) ).
fof(f655,plain,
sK4 = sK6,
inference(resolution,[],[f652,f110]) ).
fof(f652,plain,
( ~ between_c(sK3,sK4,sK5,sK6)
| sK4 = sK6 ),
inference(resolution,[],[f649,f161]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( end_point(X1,sK20(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f649,plain,
( ~ end_point(sK4,sK20(sK3,sK4,sK5,sK6))
| sK4 = sK6 ),
inference(resolution,[],[f646,f110]) ).
fof(f646,plain,
( ~ between_c(sK3,sK4,sK5,sK6)
| sK4 = sK6
| ~ end_point(sK4,sK20(sK3,sK4,sK5,sK6)) ),
inference(resolution,[],[f643,f162]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( end_point(X3,sK20(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f643,plain,
( ~ end_point(sK6,sK20(sK3,sK4,sK5,sK6))
| ~ end_point(sK4,sK20(sK3,sK4,sK5,sK6))
| sK4 = sK6 ),
inference(resolution,[],[f638,f110]) ).
fof(f638,plain,
( ~ between_c(sK3,sK4,sK5,sK6)
| sK4 = sK6
| ~ end_point(sK4,sK20(sK3,sK4,sK5,sK6))
| ~ end_point(sK6,sK20(sK3,sK4,sK5,sK6)) ),
inference(resolution,[],[f633,f160]) ).
fof(f160,plain,
! [X2,X3,X0,X1] :
( part_of(sK20(X0,X1,X2,X3),X0)
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f633,plain,
( ~ part_of(sK20(sK3,sK4,sK5,sK6),sK3)
| ~ end_point(sK6,sK20(sK3,sK4,sK5,sK6))
| sK4 = sK6
| ~ end_point(sK4,sK20(sK3,sK4,sK5,sK6)) ),
inference(resolution,[],[f474,f110]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ between_c(X0,X1,sK5,X2)
| ~ end_point(sK6,sK20(X0,X1,sK5,X2))
| ~ part_of(sK20(X0,X1,sK5,X2),sK3)
| sK4 = sK6
| ~ end_point(sK4,sK20(X0,X1,sK5,X2)) ),
inference(resolution,[],[f469,f163]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( inner_point(X2,sK20(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f109]) ).
fof(f469,plain,
! [X0] :
( ~ inner_point(sK5,X0)
| ~ end_point(sK4,X0)
| ~ end_point(sK6,X0)
| ~ part_of(X0,sK3)
| sK4 = sK6 ),
inference(resolution,[],[f164,f111]) ).
fof(f111,plain,
~ between_c(sK3,sK6,sK5,sK4),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ~ between_c(sK3,sK6,sK5,sK4)
& between_c(sK3,sK4,sK5,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f37,f63]) ).
fof(f63,plain,
( ? [X0,X1,X2,X3] :
( ~ between_c(X0,X3,X2,X1)
& between_c(X0,X1,X2,X3) )
=> ( ~ between_c(sK3,sK6,sK5,sK4)
& between_c(sK3,sK4,sK5,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( ~ between_c(X0,X3,X2,X1)
& between_c(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
=> between_c(X0,X3,X2,X1) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
=> between_c(X0,X6,X4,X2) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
=> between_c(X0,X6,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_3_8_2) ).
fof(f164,plain,
! [X2,X3,X0,X1,X4] :
( between_c(X0,X1,X2,X3)
| ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0)
| X1 = X3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f110,plain,
between_c(sK3,sK4,sK5,sK6),
inference(cnf_transformation,[],[f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n020.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 05:39:17 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (27420)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27423)WARNING: value z3 for option sas not known
% 0.15/0.38 % (27424)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (27422)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (27421)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (27426)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (27425)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (27427)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (27423)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.15/0.41 TRYING [4]
% 0.21/0.42 % (27426)First to succeed.
% 0.21/0.43 % (27426)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (27426)------------------------------
% 0.21/0.43 % (27426)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43 % (27426)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (27426)Memory used [KB]: 1444
% 0.21/0.43 % (27426)Time elapsed: 0.041 s
% 0.21/0.43 % (27426)Instructions burned: 65 (million)
% 0.21/0.43 % (27426)------------------------------
% 0.21/0.43 % (27426)------------------------------
% 0.21/0.43 % (27420)Success in time 0.058 s
%------------------------------------------------------------------------------