TSTP Solution File: SWV370+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV370+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 16:46:36 EDT 2024
% Result : Theorem 0.19s 0.39s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 11 unt; 0 def)
% Number of atoms : 165 ( 22 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 183 ( 71 ~; 72 |; 27 &)
% ( 8 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 158 ( 124 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f344,plain,
$false,
inference(resolution,[],[f335,f200]) ).
fof(f200,plain,
! [X2,X0] : contains_pq(insert_pq(X0,X2),X2),
inference(equality_resolution,[],[f174]) ).
fof(f174,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( contains_pq(insert_pq(X0,X1),X2)
| ( X1 != X2
& ~ contains_pq(X0,X2) ) )
& ( X1 = X2
| contains_pq(X0,X2)
| ~ contains_pq(insert_pq(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X2] :
( contains_pq(insert_pq(X0,X1),X2)
<=> ( X1 = X2
| contains_pq(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f335,plain,
~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK3),
inference(resolution,[],[f330,f201]) ).
fof(f201,plain,
! [X2,X3,X0] : contains_slb(insert_slb(X0,pair(X2,X3)),X2),
inference(equality_resolution,[],[f191]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| X1 != X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2,X3] :
( ( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ( X1 != X2
& ~ contains_slb(X0,X2) ) )
& ( X1 = X2
| contains_slb(X0,X2)
| ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
<=> ( X1 = X2
| contains_slb(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f330,plain,
( ~ contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK3)
| ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK3) ),
inference(forward_demodulation,[],[f324,f320]) ).
fof(f320,plain,
sK3 = sK5,
inference(resolution,[],[f319,f282]) ).
fof(f282,plain,
~ contains_slb(sK0,sK5),
inference(resolution,[],[f280,f188]) ).
fof(f188,plain,
! [X2,X3,X0,X1] :
( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ( contains_cpq(triple(X0,X1,X2),X3)
| ~ contains_slb(X1,X3) )
& ( contains_slb(X1,X3)
| ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( contains_cpq(triple(X0,X1,X2),X3)
<=> contains_slb(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f280,plain,
~ contains_cpq(triple(sK1,sK0,sK2),sK5),
inference(resolution,[],[f279,f131]) ).
fof(f131,plain,
! [X8,X6,X7] :
( contains_pq(i(triple(X6,sK0,X7)),X8)
| ~ contains_cpq(triple(X6,sK0,X7),X8) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( ~ contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) )
& ( contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) )
& ! [X6,X7,X8] :
( ( contains_cpq(triple(X6,sK0,X7),X8)
| ~ contains_pq(i(triple(X6,sK0,X7)),X8) )
& ( contains_pq(i(triple(X6,sK0,X7)),X8)
| ~ contains_cpq(triple(X6,sK0,X7),X8) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f117,f119,f118]) ).
fof(f118,plain,
( ? [X0] :
( ? [X1,X2,X3,X4,X5] :
( ( ~ contains_pq(i(triple(X1,insert_slb(X0,pair(X3,X4)),X2)),X5)
| ~ contains_cpq(triple(X1,insert_slb(X0,pair(X3,X4)),X2),X5) )
& ( contains_pq(i(triple(X1,insert_slb(X0,pair(X3,X4)),X2)),X5)
| contains_cpq(triple(X1,insert_slb(X0,pair(X3,X4)),X2),X5) ) )
& ! [X6,X7,X8] :
( ( contains_cpq(triple(X6,X0,X7),X8)
| ~ contains_pq(i(triple(X6,X0,X7)),X8) )
& ( contains_pq(i(triple(X6,X0,X7)),X8)
| ~ contains_cpq(triple(X6,X0,X7),X8) ) ) )
=> ( ? [X5,X4,X3,X2,X1] :
( ( ~ contains_pq(i(triple(X1,insert_slb(sK0,pair(X3,X4)),X2)),X5)
| ~ contains_cpq(triple(X1,insert_slb(sK0,pair(X3,X4)),X2),X5) )
& ( contains_pq(i(triple(X1,insert_slb(sK0,pair(X3,X4)),X2)),X5)
| contains_cpq(triple(X1,insert_slb(sK0,pair(X3,X4)),X2),X5) ) )
& ! [X8,X7,X6] :
( ( contains_cpq(triple(X6,sK0,X7),X8)
| ~ contains_pq(i(triple(X6,sK0,X7)),X8) )
& ( contains_pq(i(triple(X6,sK0,X7)),X8)
| ~ contains_cpq(triple(X6,sK0,X7),X8) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X5,X4,X3,X2,X1] :
( ( ~ contains_pq(i(triple(X1,insert_slb(sK0,pair(X3,X4)),X2)),X5)
| ~ contains_cpq(triple(X1,insert_slb(sK0,pair(X3,X4)),X2),X5) )
& ( contains_pq(i(triple(X1,insert_slb(sK0,pair(X3,X4)),X2)),X5)
| contains_cpq(triple(X1,insert_slb(sK0,pair(X3,X4)),X2),X5) ) )
=> ( ( ~ contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) )
& ( contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0] :
( ? [X1,X2,X3,X4,X5] :
( ( ~ contains_pq(i(triple(X1,insert_slb(X0,pair(X3,X4)),X2)),X5)
| ~ contains_cpq(triple(X1,insert_slb(X0,pair(X3,X4)),X2),X5) )
& ( contains_pq(i(triple(X1,insert_slb(X0,pair(X3,X4)),X2)),X5)
| contains_cpq(triple(X1,insert_slb(X0,pair(X3,X4)),X2),X5) ) )
& ! [X6,X7,X8] :
( ( contains_cpq(triple(X6,X0,X7),X8)
| ~ contains_pq(i(triple(X6,X0,X7)),X8) )
& ( contains_pq(i(triple(X6,X0,X7)),X8)
| ~ contains_cpq(triple(X6,X0,X7),X8) ) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
? [X0] :
( ? [X4,X5,X6,X7,X8] :
( ( ~ contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8)
| ~ contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8) )
& ( contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8)
| contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8) ) )
& ! [X1,X2,X3] :
( ( contains_cpq(triple(X1,X0,X2),X3)
| ~ contains_pq(i(triple(X1,X0,X2)),X3) )
& ( contains_pq(i(triple(X1,X0,X2)),X3)
| ~ contains_cpq(triple(X1,X0,X2),X3) ) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
? [X0] :
( ? [X4,X5,X6,X7,X8] :
( contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8)
<~> contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8) )
& ! [X1,X2,X3] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X0] :
( ! [X1,X2,X3] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) )
=> ! [X4,X5,X6,X7,X8] :
( contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8)
<=> contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X0] :
( ! [X1,X2,X3] :
( contains_cpq(triple(X1,X0,X2),X3)
<=> contains_pq(i(triple(X1,X0,X2)),X3) )
=> ! [X4,X5,X6,X7,X8] :
( contains_cpq(triple(X4,insert_slb(X0,pair(X6,X7)),X5),X8)
<=> contains_pq(i(triple(X4,insert_slb(X0,pair(X6,X7)),X5)),X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_co) ).
fof(f279,plain,
~ contains_pq(i(triple(sK1,sK0,sK2)),sK5),
inference(factoring,[],[f274]) ).
fof(f274,plain,
! [X0,X1] :
( ~ contains_pq(i(triple(X0,sK0,X1)),sK5)
| ~ contains_pq(i(triple(sK1,sK0,sK2)),sK5) ),
inference(resolution,[],[f272,f173]) ).
fof(f173,plain,
! [X2,X0,X1] :
( contains_pq(insert_pq(X0,X1),X2)
| ~ contains_pq(X0,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f272,plain,
! [X0,X1] :
( ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5)
| ~ contains_pq(i(triple(X0,sK0,X1)),sK5) ),
inference(resolution,[],[f271,f211]) ).
fof(f211,plain,
! [X2,X0,X1] :
( contains_slb(sK0,X0)
| ~ contains_pq(i(triple(X1,sK0,X2)),X0) ),
inference(resolution,[],[f187,f132]) ).
fof(f132,plain,
! [X8,X6,X7] :
( contains_cpq(triple(X6,sK0,X7),X8)
| ~ contains_pq(i(triple(X6,sK0,X7)),X8) ),
inference(cnf_transformation,[],[f120]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( ~ contains_cpq(triple(X0,X1,X2),X3)
| contains_slb(X1,X3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f271,plain,
( ~ contains_slb(sK0,sK5)
| ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5) ),
inference(resolution,[],[f270,f190]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| ~ contains_slb(X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f270,plain,
( ~ contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK5)
| ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5) ),
inference(resolution,[],[f205,f188]) ).
fof(f205,plain,
( ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5)
| ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5) ),
inference(backward_demodulation,[],[f134,f192]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f134,plain,
( ~ contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| ~ contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
inference(cnf_transformation,[],[f120]) ).
fof(f319,plain,
( contains_slb(sK0,sK5)
| sK3 = sK5 ),
inference(resolution,[],[f318,f283]) ).
fof(f283,plain,
! [X0,X1] : ~ contains_pq(i(triple(X0,sK0,X1)),sK5),
inference(resolution,[],[f282,f211]) ).
fof(f318,plain,
( contains_pq(i(triple(sK1,sK0,sK2)),sK5)
| sK3 = sK5
| contains_slb(sK0,sK5) ),
inference(duplicate_literal_removal,[],[f317]) ).
fof(f317,plain,
( contains_slb(sK0,sK5)
| sK3 = sK5
| contains_pq(i(triple(sK1,sK0,sK2)),sK5)
| sK3 = sK5 ),
inference(resolution,[],[f189,f268]) ).
fof(f268,plain,
( contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK5)
| contains_pq(i(triple(sK1,sK0,sK2)),sK5)
| sK3 = sK5 ),
inference(resolution,[],[f267,f172]) ).
fof(f172,plain,
! [X2,X0,X1] :
( ~ contains_pq(insert_pq(X0,X1),X2)
| contains_pq(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f124]) ).
fof(f267,plain,
( contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5)
| contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK5) ),
inference(resolution,[],[f204,f187]) ).
fof(f204,plain,
( contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5)
| contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK5) ),
inference(backward_demodulation,[],[f133,f192]) ).
fof(f133,plain,
( contains_pq(i(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2)),sK5)
| contains_cpq(triple(sK1,insert_slb(sK0,pair(sK3,sK4)),sK2),sK5) ),
inference(cnf_transformation,[],[f120]) ).
fof(f189,plain,
! [X2,X3,X0,X1] :
( ~ contains_slb(insert_slb(X0,pair(X1,X3)),X2)
| contains_slb(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f324,plain,
( ~ contains_pq(insert_pq(i(triple(sK1,sK0,sK2)),sK3),sK3)
| ~ contains_slb(insert_slb(sK0,pair(sK3,sK4)),sK5) ),
inference(backward_demodulation,[],[f270,f320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV370+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.35 % Computer : n028.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 05:03:14 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.19/0.36 % (8915)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.37 % (8918)WARNING: value z3 for option sas not known
% 0.19/0.37 % (8918)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)
% 0.19/0.37 % (8919)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.19/0.37 % (8920)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)
% 0.19/0.37 % (8922)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)
% 0.19/0.37 % (8917)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.19/0.37 % (8921)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)
% 0.19/0.38 % (8916)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.19/0.38 TRYING [1]
% 0.19/0.38 TRYING [2]
% 0.19/0.38 % (8921)First to succeed.
% 0.19/0.39 % (8921)Refutation found. Thanks to Tanya!
% 0.19/0.39 % SZS status Theorem for theBenchmark
% 0.19/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.39 % (8921)------------------------------
% 0.19/0.39 % (8921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.39 % (8921)Termination reason: Refutation
% 0.19/0.39
% 0.19/0.39 % (8921)Memory used [KB]: 1034
% 0.19/0.39 % (8921)Time elapsed: 0.012 s
% 0.19/0.39 % (8921)Instructions burned: 20 (million)
% 0.19/0.39 % (8921)------------------------------
% 0.19/0.39 % (8921)------------------------------
% 0.19/0.39 % (8915)Success in time 0.029 s
%------------------------------------------------------------------------------