TSTP Solution File: ALG029+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 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 : n013.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 15:42:04 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 13 unt; 0 def)
% Number of atoms : 159 ( 54 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 177 ( 59 ~; 46 |; 37 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 82 ( 76 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f406,plain,
$false,
inference(subsumption_resolution,[],[f405,f24]) ).
fof(f24,plain,
op2(sK1,sK0) != op2(sK0,sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
( sorti2(sK0)
& sorti2(sK1)
& op2(sK1,sK0) != op2(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f16,f15]) ).
fof(f15,plain,
( ? [X0] :
( sorti2(X0)
& ? [X1] :
( sorti2(X1)
& op2(X0,X1) != op2(X1,X0) ) )
=> ( sorti2(sK0)
& ? [X1] :
( sorti2(X1)
& op2(sK0,X1) != op2(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ? [X1] :
( sorti2(X1)
& op2(sK0,X1) != op2(X1,sK0) )
=> ( sorti2(sK1)
& op2(sK1,sK0) != op2(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( sorti2(X0)
& ? [X1] :
( sorti2(X1)
& op2(X0,X1) != op2(X1,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
~ ! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> op2(X0,X1) = op2(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f405,plain,
op2(sK1,sK0) = op2(sK0,sK1),
inference(forward_demodulation,[],[f403,f153]) ).
fof(f153,plain,
h(j(op2(sK0,sK1))) = op2(sK0,sK1),
inference(resolution,[],[f59,f26]) ).
fof(f26,plain,
sorti2(sK0),
inference(cnf_transformation,[],[f17]) ).
fof(f59,plain,
! [X6] :
( ~ sorti2(X6)
| h(j(op2(X6,sK1))) = op2(X6,sK1) ),
inference(resolution,[],[f36,f25]) ).
fof(f25,plain,
sorti2(sK1),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
! [X0,X1] :
( ~ sorti2(X1)
| ~ sorti2(X0)
| op2(X0,X1) = h(j(op2(X0,X1))) ),
inference(resolution,[],[f27,f20]) ).
fof(f20,plain,
! [X3] :
( ~ sorti2(X3)
| h(j(X3)) = X3 ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) )
& ! [X1] :
( ~ sorti1(X1)
| sorti2(h(X1)) )
& ! [X2] :
( ~ sorti1(X2)
| j(h(X2)) = X2 )
& ! [X3] :
( h(j(X3)) = X3
| ~ sorti2(X3) )
& ! [X4] :
( ~ sorti1(X4)
| ! [X5] :
( op2(h(X4),h(X5)) = h(op1(X4,X5))
| ~ sorti1(X5) ) )
& ! [X6] :
( ~ sorti2(X6)
| ! [X7] :
( op1(j(X6),j(X7)) = j(op2(X6,X7))
| ~ sorti2(X7) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,plain,
( ! [X1] :
( sorti1(j(X1))
| ~ sorti2(X1) )
& ! [X0] :
( ~ sorti1(X0)
| sorti2(h(X0)) )
& ! [X6] :
( ~ sorti1(X6)
| j(h(X6)) = X6 )
& ! [X7] :
( h(j(X7)) = X7
| ~ sorti2(X7) )
& ! [X2] :
( ~ sorti1(X2)
| ! [X3] :
( h(op1(X2,X3)) = op2(h(X2),h(X3))
| ~ sorti1(X3) ) )
& ! [X4] :
( ~ sorti2(X4)
| ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) ) ) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
( ! [X7] :
( h(j(X7)) = X7
| ~ sorti2(X7) )
& ! [X2] :
( ~ sorti1(X2)
| ! [X3] :
( h(op1(X2,X3)) = op2(h(X2),h(X3))
| ~ sorti1(X3) ) )
& ! [X4] :
( ~ sorti2(X4)
| ! [X5] :
( j(op2(X4,X5)) = op1(j(X4),j(X5))
| ~ sorti2(X5) ) )
& ! [X6] :
( ~ sorti1(X6)
| j(h(X6)) = X6 )
& ! [X0] :
( ~ sorti1(X0)
| sorti2(h(X0)) )
& ! [X1] :
( sorti1(j(X1))
| ~ sorti2(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X7] :
( sorti2(X7)
=> h(j(X7)) = X7 )
& ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X6] :
( sorti1(X6)
=> j(h(X6)) = X6 ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 ) ) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( ( ! [X0] :
( sorti1(X0)
=> sorti2(h(X0)) )
& ! [X1] :
( sorti2(X1)
=> sorti1(j(X1)) ) )
=> ~ ( ! [X2] :
( sorti1(X2)
=> ! [X3] :
( sorti1(X3)
=> h(op1(X2,X3)) = op2(h(X2),h(X3)) ) )
& ! [X4] :
( sorti2(X4)
=> ! [X5] :
( sorti2(X5)
=> j(op2(X4,X5)) = op1(j(X4),j(X5)) ) )
& ! [X7] :
( sorti1(X7)
=> j(h(X7)) = X7 )
& ! [X6] :
( sorti2(X6)
=> h(j(X6)) = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f27,plain,
! [X0,X1] :
( sorti2(op2(X0,X1))
| ~ sorti2(X0)
| ~ sorti2(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ~ sorti2(X0)
| ! [X1] :
( ~ sorti2(X1)
| sorti2(op2(X0,X1)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( sorti2(X0)
=> ! [X1] :
( sorti2(X1)
=> sorti2(op2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f403,plain,
h(j(op2(sK0,sK1))) = op2(sK1,sK0),
inference(backward_demodulation,[],[f67,f400]) ).
fof(f400,plain,
j(op2(sK0,sK1)) = j(op2(sK1,sK0)),
inference(backward_demodulation,[],[f264,f399]) ).
fof(f399,plain,
j(op2(sK0,sK1)) = op1(j(sK1),j(sK0)),
inference(forward_demodulation,[],[f398,f254]) ).
fof(f254,plain,
j(op2(sK0,sK1)) = op1(j(sK0),j(sK1)),
inference(resolution,[],[f100,f25]) ).
fof(f100,plain,
! [X6] :
( ~ sorti2(X6)
| j(op2(sK0,X6)) = op1(j(sK0),j(X6)) ),
inference(resolution,[],[f18,f26]) ).
fof(f18,plain,
! [X6,X7] :
( ~ sorti2(X6)
| ~ sorti2(X7)
| op1(j(X6),j(X7)) = j(op2(X6,X7)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f398,plain,
op1(j(sK1),j(sK0)) = op1(j(sK0),j(sK1)),
inference(resolution,[],[f311,f25]) ).
fof(f311,plain,
! [X0] :
( ~ sorti2(X0)
| op1(j(sK0),j(X0)) = op1(j(X0),j(sK0)) ),
inference(resolution,[],[f309,f23]) ).
fof(f23,plain,
! [X0] :
( sorti1(j(X0))
| ~ sorti2(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f309,plain,
! [X9] :
( ~ sorti1(X9)
| op1(j(sK0),X9) = op1(X9,j(sK0)) ),
inference(resolution,[],[f44,f26]) ).
fof(f44,plain,
! [X0,X1] :
( ~ sorti1(X0)
| ~ sorti2(X1)
| op1(j(X1),X0) = op1(X0,j(X1)) ),
inference(resolution,[],[f29,f23]) ).
fof(f29,plain,
! [X0,X1] :
( ~ sorti1(X0)
| ~ sorti1(X1)
| op1(X0,X1) = op1(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ~ sorti1(X0)
| ! [X1] :
( ~ sorti1(X1)
| op1(X0,X1) = op1(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( sorti1(X0)
=> ! [X1] :
( sorti1(X1)
=> op1(X0,X1) = op1(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f264,plain,
j(op2(sK1,sK0)) = op1(j(sK1),j(sK0)),
inference(resolution,[],[f101,f26]) ).
fof(f101,plain,
! [X7] :
( ~ sorti2(X7)
| op1(j(sK1),j(X7)) = j(op2(sK1,X7)) ),
inference(resolution,[],[f18,f25]) ).
fof(f67,plain,
h(j(op2(sK1,sK0))) = op2(sK1,sK0),
inference(resolution,[],[f58,f25]) ).
fof(f58,plain,
! [X5] :
( ~ sorti2(X5)
| h(j(op2(X5,sK0))) = op2(X5,sK0) ),
inference(resolution,[],[f36,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 14:47:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (18670)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.48 % (18680)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)
% 0.19/0.49 % (18662)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)
% 0.19/0.49 % (18681)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)
% 0.19/0.49 % (18674)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (18659)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (18664)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (18662)First to succeed.
% 0.19/0.50 % (18671)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)
% 0.19/0.50 % (18661)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (18660)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (18664)Instruction limit reached!
% 0.19/0.51 % (18664)------------------------------
% 0.19/0.51 % (18664)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (18664)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (18664)Termination reason: Unknown
% 0.19/0.51 % (18664)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (18664)Memory used [KB]: 5500
% 0.19/0.51 % (18664)Time elapsed: 0.071 s
% 0.19/0.51 % (18664)Instructions burned: 7 (million)
% 0.19/0.51 % (18664)------------------------------
% 0.19/0.51 % (18664)------------------------------
% 0.19/0.51 % (18667)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (18676)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)
% 0.19/0.52 % (18657)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (18658)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (18658)Refutation not found, incomplete strategy% (18658)------------------------------
% 0.19/0.52 % (18658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18658)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (18658)Memory used [KB]: 5373
% 0.19/0.52 % (18658)Time elapsed: 0.125 s
% 0.19/0.52 % (18658)Instructions burned: 2 (million)
% 0.19/0.52 % (18658)------------------------------
% 0.19/0.52 % (18658)------------------------------
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (18685)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (18681)Also succeeded, but the first one will report.
% 0.19/0.52 % (18663)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)
% 0.19/0.52 % (18662)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (18662)------------------------------
% 0.19/0.52 % (18662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18662)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (18662)Memory used [KB]: 5628
% 0.19/0.52 % (18662)Time elapsed: 0.106 s
% 0.19/0.52 % (18662)Instructions burned: 15 (million)
% 0.19/0.52 % (18662)------------------------------
% 0.19/0.52 % (18662)------------------------------
% 0.19/0.52 % (18655)Success in time 0.176 s
%------------------------------------------------------------------------------