TSTP Solution File: HEN009-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n001.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 16:24:38 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f465,plain,
$false,
inference(subsumption_resolution,[],[f464,f421]) ).
fof(f421,plain,
~ less_equal(idQa,idQ__idQ_idQa),
inference(subsumption_resolution,[],[f420,f21]) ).
fof(f21,axiom,
idQa != idQ__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).
fof(f420,plain,
( idQa = idQ__idQ_idQa
| ~ less_equal(idQa,idQ__idQ_idQa) ),
inference(resolution,[],[f414,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ less_equal(X1,X0)
| X0 = X1
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).
fof(f414,plain,
less_equal(idQ__idQ_idQa,idQa),
inference(subsumption_resolution,[],[f407,f23]) ).
fof(f23,plain,
! [X1] : less_equal(X1,X1),
inference(resolution,[],[f2,f12]) ).
fof(f12,axiom,
! [X0] : quotient(X0,X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
fof(f2,axiom,
! [X0,X1] :
( ~ quotient(X0,X1,zero)
| less_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).
fof(f407,plain,
( ~ less_equal(idQ_idQa,idQ_idQa)
| less_equal(idQ__idQ_idQa,idQa) ),
inference(resolution,[],[f110,f19]) ).
fof(f19,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f110,plain,
! [X4,X5] :
( ~ quotient(identity,X4,X5)
| ~ less_equal(X5,idQ_idQa)
| less_equal(idQ__idQ_idQa,X4) ),
inference(resolution,[],[f15,f20]) ).
fof(f20,axiom,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f15,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X0,X2,X10)
| less_equal(X10,X1)
| ~ less_equal(X9,X2)
| ~ quotient(X0,X1,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
fof(f464,plain,
less_equal(idQa,idQ__idQ_idQa),
inference(subsumption_resolution,[],[f449,f371]) ).
fof(f371,plain,
less_equal(idQ_idQa,a),
inference(subsumption_resolution,[],[f362,f23]) ).
fof(f362,plain,
( ~ less_equal(idQa,idQa)
| less_equal(idQ_idQa,a) ),
inference(resolution,[],[f109,f18]) ).
fof(f18,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f109,plain,
! [X2,X3] :
( ~ quotient(identity,X2,X3)
| less_equal(idQ_idQa,X2)
| ~ less_equal(X3,idQa) ),
inference(resolution,[],[f15,f19]) ).
fof(f449,plain,
( ~ less_equal(idQ_idQa,a)
| less_equal(idQa,idQ__idQ_idQa) ),
inference(resolution,[],[f117,f20]) ).
fof(f117,plain,
! [X0,X1] :
( ~ quotient(identity,X0,X1)
| ~ less_equal(X0,a)
| less_equal(idQa,X1) ),
inference(resolution,[],[f16,f18]) ).
fof(f16,axiom,
! [X2,X10,X0,X1,X9] :
( ~ quotient(X2,X1,X9)
| ~ quotient(X2,X0,X10)
| ~ less_equal(X0,X1)
| less_equal(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : HEN009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 23:15:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (21484)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)
% 0.18/0.46 % (21475)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)
% 0.18/0.46 TRYING [1]
% 0.18/0.47 % (21491)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.47 TRYING [2]
% 0.18/0.47 TRYING [3]
% 0.18/0.48 TRYING [4]
% 0.18/0.48 % (21471)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)
% 0.18/0.49 % (21472)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)
% 0.18/0.49 % (21493)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)
% 0.18/0.49 % (21483)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (21485)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)
% 0.18/0.49 % (21497)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)
% 0.18/0.49 % (21481)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (21496)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)
% 0.18/0.49 % (21476)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (21474)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)
% 0.18/0.50 % (21494)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50 % (21469)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)
% 0.18/0.50 % (21479)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 TRYING [5]
% 0.18/0.51 % (21476)Instruction limit reached!
% 0.18/0.51 % (21476)------------------------------
% 0.18/0.51 % (21476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (21476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (21476)Termination reason: Unknown
% 0.18/0.51 % (21476)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (21476)Memory used [KB]: 5500
% 0.18/0.51 % (21476)Time elapsed: 0.071 s
% 0.18/0.51 % (21476)Instructions burned: 8 (million)
% 0.18/0.51 % (21476)------------------------------
% 0.18/0.51 % (21476)------------------------------
% 0.18/0.51 % (21495)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.51 % (21475)Instruction limit reached!
% 0.18/0.51 % (21475)------------------------------
% 0.18/0.51 % (21475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (21475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (21475)Termination reason: Unknown
% 0.18/0.51 % (21475)Termination phase: Finite model building constraint generation
% 0.18/0.51
% 0.18/0.51 % (21475)Memory used [KB]: 7675
% 0.18/0.51 % (21475)Time elapsed: 0.115 s
% 0.18/0.51 % (21475)Instructions burned: 51 (million)
% 0.18/0.51 % (21475)------------------------------
% 0.18/0.51 % (21475)------------------------------
% 0.18/0.51 % (21473)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51 % (21489)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)
% 0.18/0.51 % (21477)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (21477)Instruction limit reached!
% 0.18/0.51 % (21477)------------------------------
% 0.18/0.51 % (21477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (21477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (21477)Termination reason: Unknown
% 0.18/0.51 % (21477)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (21477)Memory used [KB]: 5373
% 0.18/0.51 % (21477)Time elapsed: 0.002 s
% 0.18/0.51 % (21477)Instructions burned: 2 (million)
% 0.18/0.51 % (21477)------------------------------
% 0.18/0.51 % (21477)------------------------------
% 0.18/0.51 % (21483)First to succeed.
% 0.18/0.52 % (21478)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (21483)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (21483)------------------------------
% 0.18/0.52 % (21483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (21483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (21483)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (21483)Memory used [KB]: 5628
% 0.18/0.52 % (21483)Time elapsed: 0.115 s
% 0.18/0.52 % (21483)Instructions burned: 13 (million)
% 0.18/0.52 % (21483)------------------------------
% 0.18/0.52 % (21483)------------------------------
% 0.18/0.52 % (21463)Success in time 0.179 s
%------------------------------------------------------------------------------