TSTP Solution File: SWV366+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV366+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_sat --cores 0 -t %d %s
% Computer : n026.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 18:56:37 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 0 |; 5 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 112 ( 79 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(equality_resolution,[],[f281]) ).
fof(f281,plain,
! [X2,X3] : insert_pq(i(triple(sK2,sK0,sK1)),sK5) != insert_pq(i(triple(X2,sK0,X3)),sK5),
inference(superposition,[],[f275,f238]) ).
fof(f238,plain,
! [X10,X8,X9,X7] : i(triple(X7,sK0,X8)) = i(triple(X9,sK0,X10)),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( i(triple(sK2,insert_slb(sK0,pair(sK5,sK3)),sK1)) != i(triple(sK6,insert_slb(sK0,pair(sK5,sK3)),sK4))
& ! [X7,X8,X9,X10] : i(triple(X7,sK0,X8)) = i(triple(X9,sK0,X10)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f174,f176,f175]) ).
fof(f175,plain,
( ? [X0] :
( ? [X1,X2,X3,X4,X5,X6] : i(triple(X6,insert_slb(X0,pair(X5,X3)),X4)) != i(triple(X2,insert_slb(X0,pair(X5,X3)),X1))
& ! [X7,X8,X9,X10] : i(triple(X7,X0,X8)) = i(triple(X9,X0,X10)) )
=> ( ? [X6,X5,X4,X3,X2,X1] : i(triple(X6,insert_slb(sK0,pair(X5,X3)),X4)) != i(triple(X2,insert_slb(sK0,pair(X5,X3)),X1))
& ! [X10,X9,X8,X7] : i(triple(X7,sK0,X8)) = i(triple(X9,sK0,X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
( ? [X6,X5,X4,X3,X2,X1] : i(triple(X6,insert_slb(sK0,pair(X5,X3)),X4)) != i(triple(X2,insert_slb(sK0,pair(X5,X3)),X1))
=> i(triple(sK2,insert_slb(sK0,pair(sK5,sK3)),sK1)) != i(triple(sK6,insert_slb(sK0,pair(sK5,sK3)),sK4)) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
? [X0] :
( ? [X1,X2,X3,X4,X5,X6] : i(triple(X6,insert_slb(X0,pair(X5,X3)),X4)) != i(triple(X2,insert_slb(X0,pair(X5,X3)),X1))
& ! [X7,X8,X9,X10] : i(triple(X7,X0,X8)) = i(triple(X9,X0,X10)) ),
inference(rectify,[],[f149]) ).
fof(f149,plain,
? [X0] :
( ? [X5,X6,X9,X10,X8,X7] : i(triple(X7,insert_slb(X0,pair(X8,X9)),X10)) != i(triple(X6,insert_slb(X0,pair(X8,X9)),X5))
& ! [X1,X2,X4,X3] : i(triple(X4,X0,X3)) = i(triple(X1,X0,X2)) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
~ ! [X0] :
( ! [X1,X2,X4,X3] : i(triple(X4,X0,X3)) = i(triple(X1,X0,X2))
=> ! [X9,X5,X10,X8,X6,X7] : i(triple(X7,insert_slb(X0,pair(X8,X9)),X10)) = i(triple(X6,insert_slb(X0,pair(X8,X9)),X5)) ),
inference(rectify,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X0] :
( ! [X2,X4,X3,X1] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X8,X6,X5,X9,X10,X7] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X0] :
( ! [X2,X4,X3,X1] : i(triple(X1,X0,X3)) = i(triple(X2,X0,X4))
=> ! [X8,X6,X5,X9,X10,X7] : i(triple(X5,insert_slb(X0,pair(X9,X10)),X7)) = i(triple(X6,insert_slb(X0,pair(X9,X10)),X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_co) ).
fof(f275,plain,
insert_pq(i(triple(sK6,sK0,sK4)),sK5) != insert_pq(i(triple(sK2,sK0,sK1)),sK5),
inference(forward_demodulation,[],[f274,f244]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X4] : i(triple(X1,insert_slb(X3,pair(X2,X0)),X4)) = insert_pq(i(triple(X1,X3,X4)),X2),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] : i(triple(X1,insert_slb(X3,pair(X2,X0)),X4)) = insert_pq(i(triple(X1,X3,X4)),X2),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1,X3,X4,X0,X2] : i(triple(X3,insert_slb(X0,pair(X4,X1)),X2)) = insert_pq(i(triple(X3,X0,X2)),X4),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X1,X4,X2,X0,X3] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f274,plain,
insert_pq(i(triple(sK6,sK0,sK4)),sK5) != i(triple(sK2,insert_slb(sK0,pair(sK5,sK3)),sK1)),
inference(backward_demodulation,[],[f239,f244]) ).
fof(f239,plain,
i(triple(sK2,insert_slb(sK0,pair(sK5,sK3)),sK1)) != i(triple(sK6,insert_slb(sK0,pair(sK5,sK3)),sK4)),
inference(cnf_transformation,[],[f177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV366+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 19:36:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 % (591)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)
% 0.19/0.48 % (604)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)
% 0.19/0.48 % (596)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)
% 0.19/0.48 % (606)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49 % (591)First to succeed.
% 0.19/0.49 % (588)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)
% 0.19/0.49 % (598)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (591)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (591)------------------------------
% 0.19/0.50 % (591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (591)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (591)Memory used [KB]: 1151
% 0.19/0.50 % (591)Time elapsed: 0.096 s
% 0.19/0.50 % (591)Instructions burned: 7 (million)
% 0.19/0.50 % (591)------------------------------
% 0.19/0.50 % (591)------------------------------
% 0.19/0.50 % (581)Success in time 0.158 s
%------------------------------------------------------------------------------