TSTP Solution File: COL104-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COL104-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n024.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 15:52:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 19 unt; 0 def)
% Number of atoms : 58 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-4 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,plain,
$false,
inference(subsumption_resolution,[],[f203,f17]) ).
fof(f17,plain,
~ c_in(sF7,sF3,sF4),
inference(definition_folding,[],[f3,f11,f10,f16,f15,f7]) ).
fof(f7,plain,
c_Comb_Ocomb_Oop_A_D_D(v_z,v_x) = sF0,
introduced(function_definition,[]) ).
fof(f15,plain,
c_Comb_Ocomb_Oop_A_D_D(v_z,v_za) = sF6,
introduced(function_definition,[]) ).
fof(f16,plain,
sF7 = c_Pair(sF0,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),
introduced(function_definition,[]) ).
fof(f10,plain,
c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb) = sF3,
introduced(function_definition,[]) ).
fof(f11,plain,
tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb) = sF4,
introduced(function_definition,[]) ).
fof(f3,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_za),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f203,plain,
c_in(sF7,sF3,sF4),
inference(forward_demodulation,[],[f202,f16]) ).
fof(f202,plain,
c_in(c_Pair(sF0,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4),
inference(subsumption_resolution,[],[f201,f12]) ).
fof(f12,plain,
c_in(sF2,sF3,sF4),
inference(definition_folding,[],[f2,f11,f10,f9,f8,f7]) ).
fof(f8,plain,
c_Comb_Ocomb_Oop_A_D_D(v_z,v_y) = sF1,
introduced(function_definition,[]) ).
fof(f9,plain,
sF2 = c_Pair(sF0,sF1,tc_Comb_Ocomb,tc_Comb_Ocomb),
introduced(function_definition,[]) ).
fof(f2,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,v_x),c_Comb_Ocomb_Oop_A_D_D(v_z,v_y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Transitive__Closure_Ortrancl(c_Comb_Ocontract,tc_Comb_Ocomb),tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f201,plain,
( c_in(c_Pair(sF0,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| ~ c_in(sF2,sF3,sF4) ),
inference(superposition,[],[f191,f9]) ).
fof(f191,plain,
! [X8] :
( ~ c_in(c_Pair(X8,sF1,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| c_in(c_Pair(X8,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4) ),
inference(resolution,[],[f115,f144]) ).
fof(f144,plain,
c_in(c_Pair(sF1,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4),
inference(resolution,[],[f143,f21]) ).
fof(f21,plain,
! [X0] :
( ~ c_in(X0,c_Comb_Ocontract,sF4)
| c_in(X0,sF3,sF4) ),
inference(forward_demodulation,[],[f20,f11]) ).
fof(f20,plain,
! [X0] :
( c_in(X0,sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(X0,c_Comb_Ocontract,sF4) ),
inference(forward_demodulation,[],[f18,f11]) ).
fof(f18,plain,
! [X0] :
( ~ c_in(X0,c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(X0,sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(superposition,[],[f5,f10]) ).
fof(f5,axiom,
! [X3,X4,X5] :
( c_in(X3,c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
| ~ c_in(X3,X4,tc_prod(X5,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Or__into__rtrancl_0) ).
fof(f143,plain,
c_in(c_Pair(sF1,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4),
inference(subsumption_resolution,[],[f142,f14]) ).
fof(f14,plain,
c_in(sF5,c_Comb_Ocontract,sF4),
inference(definition_folding,[],[f1,f11,f13]) ).
fof(f13,plain,
c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb) = sF5,
introduced(function_definition,[]) ).
fof(f1,axiom,
c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f142,plain,
( ~ c_in(sF5,c_Comb_Ocontract,sF4)
| c_in(c_Pair(sF1,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4) ),
inference(forward_demodulation,[],[f140,f13]) ).
fof(f140,plain,
( c_in(c_Pair(sF1,sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4)
| ~ c_in(c_Pair(v_y,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4) ),
inference(superposition,[],[f38,f8]) ).
fof(f38,plain,
! [X2] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,X2),sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4)
| ~ c_in(c_Pair(X2,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4) ),
inference(forward_demodulation,[],[f37,f11]) ).
fof(f37,plain,
! [X2] :
( ~ c_in(c_Pair(X2,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,X2),sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,sF4) ),
inference(forward_demodulation,[],[f29,f11]) ).
fof(f29,plain,
! [X2] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_z,X2),sF6,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X2,v_za,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(superposition,[],[f4,f15]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(X2,X0),c_Comb_Ocomb_Oop_A_D_D(X2,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Ocontract_OAp2_0) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| c_in(c_Pair(X0,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4) ),
inference(forward_demodulation,[],[f114,f11]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| c_in(c_Pair(X0,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(forward_demodulation,[],[f113,f11]) ).
fof(f113,plain,
! [X2,X0,X1] :
( c_in(c_Pair(X0,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,sF4)
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(forward_demodulation,[],[f111,f11]) ).
fof(f111,plain,
! [X2,X0,X1] :
( ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X0,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X0,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),sF3,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(superposition,[],[f6,f10]) ).
fof(f6,axiom,
! [X8,X6,X7,X4,X5] :
( ~ c_in(c_Pair(X8,X6,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
| c_in(c_Pair(X8,X7,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5))
| ~ c_in(c_Pair(X6,X7,X5,X5),c_Transitive__Closure_Ortrancl(X4,X5),tc_prod(X5,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Transitive__Closure_Ortrancl__trans_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL104-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 20:21:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (7540)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (7549)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (7541)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50 % (7555)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (7549)First to succeed.
% 0.20/0.50 % (7548)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (7551)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (7542)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)
% 0.20/0.51 % (7565)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 % (7550)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)
% 0.20/0.51 % (7553)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.51 % (7559)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (7549)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (7549)------------------------------
% 0.20/0.51 % (7549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (7549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (7549)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (7549)Memory used [KB]: 5500
% 0.20/0.51 % (7549)Time elapsed: 0.102 s
% 0.20/0.51 % (7549)Instructions burned: 8 (million)
% 0.20/0.51 % (7549)------------------------------
% 0.20/0.51 % (7549)------------------------------
% 0.20/0.51 % (7532)Success in time 0.16 s
%------------------------------------------------------------------------------