TSTP Solution File: NUN065+2 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUN065+2 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n007.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 : Mon Jun 24 13:33:28 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 11 unt; 0 def)
% Number of atoms : 105 ( 37 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 110 ( 47 ~; 45 |; 18 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 0 con; 1-2 aty)
% Number of variables : 91 ( 75 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f307,plain,
$false,
inference(resolution,[],[f293,f109]) ).
fof(f109,plain,
! [X0,X1] : ~ r1(sK17(X0,X1)),
inference(resolution,[],[f65,f67]) ).
fof(f67,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ r1(X2)
| X1 != X2
| ~ r2(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f65,plain,
! [X0,X1] : r2(sK18(X0,X1),sK17(X0,X1)),
inference(definition_unfolding,[],[f54,f56]) ).
fof(f56,plain,
! [X0,X1] : sK16(X0,X1) = sK17(X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f54,plain,
! [X0,X1] : r2(sK18(X0,X1),sK16(X0,X1)),
inference(cnf_transformation,[],[f22]) ).
fof(f293,plain,
! [X0] : r1(X0),
inference(subsumption_resolution,[],[f292,f86]) ).
fof(f86,plain,
! [X0] : ~ r1(sK11(X0)),
inference(resolution,[],[f67,f66]) ).
fof(f66,plain,
! [X0] : r2(X0,sK11(X0)),
inference(equality_resolution,[],[f43]) ).
fof(f43,plain,
! [X2,X0] :
( sK11(X0) != X2
| r2(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f292,plain,
! [X0] :
( r1(X0)
| r1(sK11(X0)) ),
inference(forward_subsumption_demodulation,[],[f290,f289]) ).
fof(f289,plain,
! [X0] :
( r1(X0)
| sK11(X0) = sK1(sK11(X0)) ),
inference(superposition,[],[f26,f270]) ).
fof(f270,plain,
! [X0] : sK2(sK11(X0)) = X0,
inference(resolution,[],[f216,f119]) ).
fof(f119,plain,
! [X0] : r2(sK2(sK11(X0)),sK11(X0)),
inference(subsumption_resolution,[],[f118,f86]) ).
fof(f118,plain,
! [X0] :
( r2(sK2(sK11(X0)),sK11(X0))
| r1(sK11(X0)) ),
inference(forward_subsumption_demodulation,[],[f116,f73]) ).
fof(f73,plain,
! [X0] :
( r2(sK2(X0),X0)
| sK1(X0) = X0 ),
inference(forward_subsumption_demodulation,[],[f27,f31]) ).
fof(f31,plain,
! [X0] :
( sK1(X0) = X0
| sK0(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& r1(X1) )
| ? [X2] :
( X0 = X2
& ? [X3] :
( r2(X3,X2)
& r1(X3) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ! [X1] :
( X0 != X1
| ~ r1(X1) )
& ! [X2] :
( X0 != X2
| ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ! [X15] :
( X15 != X38
| ~ r1(X15) )
& ! [X21] :
( X21 != X38
| ! [X22] :
( ~ r2(X22,X21)
| ~ r1(X22) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ! [X15] :
( X15 != X38
| ~ r1(X15) )
& ! [X21] :
( X21 != X38
| ! [X22] :
( ~ r2(X22,X21)
| ~ r1(X22) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f27,plain,
! [X0] :
( r2(sK2(X0),sK0(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f116,plain,
! [X0] :
( r2(sK2(sK11(X0)),sK11(X0))
| r1(sK1(sK11(X0))) ),
inference(superposition,[],[f29,f92]) ).
fof(f92,plain,
! [X0] : sK11(X0) = sK0(sK11(X0)),
inference(resolution,[],[f72,f86]) ).
fof(f72,plain,
! [X0] :
( r1(X0)
| sK0(X0) = X0 ),
inference(forward_subsumption_demodulation,[],[f30,f31]) ).
fof(f30,plain,
! [X0] :
( sK0(X0) = X0
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0] :
( r2(sK2(X0),sK0(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f216,plain,
! [X0,X1] :
( ~ r2(X0,sK11(X1))
| X0 = X1 ),
inference(resolution,[],[f68,f66]) ).
fof(f68,plain,
! [X3,X0,X1] :
( ~ r2(X1,X3)
| ~ r2(X0,X3)
| X0 = X1 ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ r2(X0,X3)
| X2 != X3
| ~ r2(X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( X0 = X1
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( X2 != X3
| ~ r2(X0,X3) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X25,X26] :
( X25 = X26
| ! [X27] :
( ~ r2(X26,X27)
| ! [X28] :
( X27 != X28
| ~ r2(X25,X28) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f26,plain,
! [X0] :
( r1(sK2(X0))
| sK1(X0) = X0 ),
inference(cnf_transformation,[],[f25]) ).
fof(f290,plain,
! [X0] :
( r1(X0)
| r1(sK1(sK11(X0))) ),
inference(superposition,[],[f28,f270]) ).
fof(f28,plain,
! [X0] :
( r1(sK2(X0))
| r1(sK1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : NUN065+2 : TPTP v8.2.0. Released v7.3.0.
% 0.08/0.12 % Command : run_vampire %s %d SAT
% 0.08/0.32 % Computer : n007.cluster.edu
% 0.08/0.32 % Model : x86_64 x86_64
% 0.08/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.32 % Memory : 8042.1875MB
% 0.08/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.32 % CPULimit : 300
% 0.08/0.32 % WCLimit : 300
% 0.08/0.32 % DateTime : Tue Jun 18 21:18:24 EDT 2024
% 0.08/0.32 % CPUTime :
% 0.08/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.34 Running first-order model finding
% 0.14/0.34 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (870)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.14/0.40 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (867)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.14/0.40 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (869)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.14/0.40 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (866)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.14/0.40 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (865)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (871)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [10]
% 0.14/0.40 % (869)First to succeed.
% 0.14/0.40 TRYING [4]
% 0.14/0.40 % (869)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-863"
% 0.14/0.41 % (863)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.41 % (869)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (869)------------------------------
% 0.14/0.41 % (869)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.14/0.41 % (869)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.14/0.41 % (869)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (869)Memory used [KB]: 844
% 0.14/0.41 % (869)Time elapsed: 0.010 s
% 0.14/0.41 % (869)Instructions burned: 13 (million)
% 0.14/0.41 % (869)------------------------------
% 0.14/0.41 % (869)------------------------------
% 0.14/0.41 % (863)Success in time 0.064 s
%------------------------------------------------------------------------------