TSTP Solution File: ALG176+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : ALG176+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n004.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 04:11:45 EDT 2024
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 4 unt; 0 def)
% Number of atoms : 198 ( 46 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 229 ( 91 ~; 78 |; 26 &)
% ( 5 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 64 ( 60 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1759,plain,
$false,
inference(avatar_sat_refutation,[],[f43,f47,f136,f387,f466,f1753]) ).
fof(f1753,plain,
( ~ spl2_6
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f1752,f86,f36,f32,f120]) ).
fof(f120,plain,
( spl2_6
<=> sorti2(sK0(h(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f32,plain,
( spl2_1
<=> sorti2(h(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f36,plain,
( spl2_2
<=> sorti1(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f86,plain,
( spl2_3
<=> sorti1(j(h(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f1752,plain,
( ~ sorti2(sK0(h(sK1)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(trivial_inequality_removal,[],[f1749]) ).
fof(f1749,plain,
( j(sK0(h(sK1))) != j(sK0(h(sK1)))
| ~ sorti2(sK0(h(sK1)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(superposition,[],[f41,f845]) ).
fof(f845,plain,
( j(sK0(h(sK1))) = op1(j(sK0(h(sK1))),sK1)
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f804,f812]) ).
fof(f812,plain,
( sK0(h(sK1)) = op2(sK0(h(sK1)),h(sK1))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f694,f737]) ).
fof(f737,plain,
( sK1 = j(h(sK1))
| ~ spl2_2
| ~ spl2_3 ),
inference(superposition,[],[f475,f350]) ).
fof(f350,plain,
( sK1 = j(h(sK1))
| ~ spl2_2 ),
inference(superposition,[],[f326,f26]) ).
fof(f26,plain,
sK1 = j(h(sK1)),
inference(resolution,[],[f16,f25]) ).
fof(f25,plain,
sorti1(sK1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
? [X0] :
( ! [X1] :
( op1(X1,X0) != X1
| ~ sorti1(X1) )
& sorti1(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
? [X0] :
( ! [X1] :
( sorti1(X1)
=> op1(X1,X0) != X1 )
& sorti1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f16,plain,
! [X2] :
( ~ sorti1(X2)
| j(h(X2)) = X2 ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( ! [X2] :
( j(h(X2)) = X2
| ~ sorti1(X2) )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) )
| ~ sorti2(X4) )
& ! [X6] :
( ! [X7] :
( h(op1(X6,X7)) = op2(h(X6),h(X7))
| ~ sorti1(X7) )
| ~ sorti1(X6) )
& ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti2(X0)
=> sorti1(j(X0)) )
& ! [X1] :
( sorti1(X1)
=> sorti2(h(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> j(h(X2)) = X2 )
& ! [X3] :
( sorti2(X3)
=> h(j(X3)) = X3 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti1(X6)
=> ! [X7] :
( sorti1(X7)
=> h(op1(X6,X7)) = op2(h(X6),h(X7)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) )
& ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) ) )
=> ~ ( ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f326,plain,
( j(h(sK1)) = j(h(j(h(sK1))))
| ~ spl2_2 ),
inference(resolution,[],[f74,f38]) ).
fof(f38,plain,
( sorti1(sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f74,plain,
! [X0] :
( ~ sorti1(X0)
| j(h(X0)) = j(h(j(h(X0)))) ),
inference(resolution,[],[f27,f19]) ).
fof(f19,plain,
! [X1] :
( sorti2(h(X1))
| ~ sorti1(X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0] :
( ~ sorti2(X0)
| j(X0) = j(h(j(X0))) ),
inference(resolution,[],[f16,f18]) ).
fof(f18,plain,
! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f475,plain,
( j(h(sK1)) = j(h(j(h(sK1))))
| ~ spl2_3 ),
inference(resolution,[],[f87,f16]) ).
fof(f87,plain,
( sorti1(j(h(sK1)))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f694,plain,
( sK0(h(j(h(sK1)))) = op2(sK0(h(j(h(sK1)))),h(j(h(sK1))))
| ~ spl2_1 ),
inference(resolution,[],[f106,f33]) ).
fof(f33,plain,
( sorti2(h(sK1))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f106,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(h(j(X0))) = op2(sK0(h(j(X0))),h(j(X0))) ),
inference(resolution,[],[f51,f18]) ).
fof(f51,plain,
! [X0] :
( ~ sorti1(X0)
| sK0(h(X0)) = op2(sK0(h(X0)),h(X0)) ),
inference(resolution,[],[f21,f19]) ).
fof(f21,plain,
! [X0] :
( ~ sorti2(X0)
| sK0(X0) = op2(sK0(X0),X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ? [X1] :
( op2(X1,X0) = X1
& sorti2(X1) )
| ~ sorti2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ? [X0] :
( ! [X1] :
( sorti2(X1)
=> op2(X1,X0) != X1 )
& sorti2(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f804,plain,
( op1(j(sK0(h(sK1))),sK1) = j(op2(sK0(h(sK1)),h(sK1)))
| ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(backward_demodulation,[],[f626,f737]) ).
fof(f626,plain,
( j(op2(sK0(h(sK1)),h(sK1))) = op1(j(sK0(h(sK1))),j(h(sK1)))
| ~ spl2_1 ),
inference(resolution,[],[f247,f33]) ).
fof(f247,plain,
! [X0] :
( ~ sorti2(X0)
| j(op2(sK0(X0),X0)) = op1(j(sK0(X0)),j(X0)) ),
inference(factoring,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti2(X0)
| j(op2(sK0(X1),X0)) = op1(j(sK0(X1)),j(X0)) ),
inference(resolution,[],[f14,f20]) ).
fof(f20,plain,
! [X0] :
( sorti2(sK0(X0))
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f14,plain,
! [X4,X5] :
( ~ sorti2(X5)
| ~ sorti2(X4)
| j(op2(X4,X5)) = op1(j(X4),j(X5)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0] :
( j(X0) != op1(j(X0),sK1)
| ~ sorti2(X0) ),
inference(resolution,[],[f24,f18]) ).
fof(f24,plain,
! [X1] :
( ~ sorti1(X1)
| op1(X1,sK1) != X1 ),
inference(cnf_transformation,[],[f13]) ).
fof(f466,plain,
( ~ spl2_1
| spl2_8 ),
inference(avatar_split_clause,[],[f463,f379,f32]) ).
fof(f379,plain,
( spl2_8
<=> sorti2(h(j(h(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f463,plain,
( ~ sorti2(h(sK1))
| spl2_8 ),
inference(superposition,[],[f381,f26]) ).
fof(f381,plain,
( ~ sorti2(h(j(h(sK1))))
| spl2_8 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f387,plain,
( ~ spl2_8
| spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f352,f36,f86,f379]) ).
fof(f352,plain,
( sorti1(j(h(sK1)))
| ~ sorti2(h(j(h(sK1))))
| ~ spl2_2 ),
inference(superposition,[],[f18,f326]) ).
fof(f136,plain,
( ~ spl2_1
| spl2_6 ),
inference(avatar_split_clause,[],[f135,f120,f32]) ).
fof(f135,plain,
( ~ sorti2(h(sK1))
| spl2_6 ),
inference(resolution,[],[f121,f20]) ).
fof(f121,plain,
( ~ sorti2(sK0(h(sK1)))
| spl2_6 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f47,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f37,f25]) ).
fof(f37,plain,
( ~ sorti1(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f43,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f42,f32,f36]) ).
fof(f42,plain,
( ~ sorti1(sK1)
| spl2_1 ),
inference(resolution,[],[f34,f19]) ).
fof(f34,plain,
( ~ sorti2(h(sK1))
| spl2_1 ),
inference(avatar_component_clause,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ALG176+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.14 % Command : run_vampire %s %d SAT
% 0.12/0.35 % Computer : n004.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 : Wed Jun 19 15:39:39 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.37 Running first-order model finding
% 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (14158)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.43 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (14160)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.43 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (14162)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)
% 0.20/0.43 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (14159)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.20/0.43 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (14157)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)
% 0.20/0.43 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (14161)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)
% 0.20/0.44 TRYING [1]
% 0.20/0.44 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (14156)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.44 TRYING [2]
% 0.20/0.44 TRYING [3]
% 0.20/0.44 TRYING [4]
% 0.20/0.44 TRYING [10]
% 0.20/0.45 TRYING [5]
% 0.20/0.47 TRYING [23]
% 0.20/0.49 % (14162)First to succeed.
% 0.20/0.49 % (14160)Instruction limit reached!
% 0.20/0.49 % (14160)------------------------------
% 0.20/0.49 % (14160)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (14160)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (14160)Termination reason: Time limit
% 0.20/0.49 % (14160)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (14160)Memory used [KB]: 1182
% 0.20/0.49 % (14160)Time elapsed: 0.056 s
% 0.20/0.49 % (14160)Instructions burned: 104 (million)
% 0.20/0.49 % (14162)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14155"
% 0.20/0.49 % (14155)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (14162)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (14162)------------------------------
% 0.20/0.49 % (14162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (14162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (14162)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (14162)Memory used [KB]: 2049
% 0.20/0.49 % (14162)Time elapsed: 0.056 s
% 0.20/0.49 % (14162)Instructions burned: 88 (million)
% 0.20/0.49 % (14162)------------------------------
% 0.20/0.49 % (14162)------------------------------
% 0.20/0.49 % (14155)Success in time 0.113 s
%------------------------------------------------------------------------------