TSTP Solution File: MSC012+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MSC012+1 : 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 : n021.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 17:52:15 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 30 ~; 30 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 51 ( 47 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(subsumption_resolution,[],[f56,f55]) ).
fof(f55,plain,
! [X4] : ~ p(X4),
inference(subsumption_resolution,[],[f54,f26]) ).
fof(f26,plain,
! [X0] :
( ~ p(sK1(X0))
| ~ p(X0) ),
inference(resolution,[],[f25,f24]) ).
fof(f24,plain,
! [X0] : less(X0,sK1(X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] : less(X0,sK1(X0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f4,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] : less(X0,X1)
=> less(X0,sK1(X0)) ),
introduced(choice_axiom,[]) ).
fof(f4,axiom,
! [X0] :
? [X1] : less(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',serial_less) ).
fof(f25,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ p(X0)
| ~ p(X1) ),
inference(subsumption_resolution,[],[f22,f23]) ).
fof(f23,plain,
~ goal,
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
~ goal,
inference(flattening,[],[f6]) ).
fof(f6,negated_conjecture,
~ goal,
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
goal,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_to_be_proved) ).
fof(f22,plain,
! [X0,X1] :
( ~ p(X1)
| ~ less(X1,X0)
| ~ p(X0)
| goal ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ less(X1,X0)
| goal
| ~ p(X0)
| ~ p(X1) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( goal
| ~ less(X1,X0)
| ~ p(X0)
| ~ p(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ( less(X1,X0)
& p(X0)
& p(X1) )
=> goal ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( p(X1)
& p(X0)
& less(X0,X1) )
=> goal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_to_right) ).
fof(f54,plain,
! [X4] :
( ~ p(X4)
| p(sK1(X4)) ),
inference(subsumption_resolution,[],[f53,f21]) ).
fof(f21,plain,
! [X0] :
( p(sK0(X0))
| p(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( p(X0)
| ( p(sK0(X0))
& less(X0,sK0(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f2,f15]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
( p(X1)
& less(X0,X1) )
=> ( p(sK0(X0))
& less(X0,sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
! [X0] :
( p(X0)
| ? [X1] :
( p(X1)
& less(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_to_left) ).
fof(f53,plain,
! [X4] :
( ~ p(X4)
| ~ p(sK0(sK1(X4)))
| p(sK1(X4)) ),
inference(resolution,[],[f35,f25]) ).
fof(f35,plain,
! [X0] :
( less(X0,sK0(sK1(X0)))
| p(sK1(X0)) ),
inference(resolution,[],[f29,f24]) ).
fof(f29,plain,
! [X2,X3] :
( ~ less(X2,X3)
| p(X3)
| less(X2,sK0(X3)) ),
inference(resolution,[],[f19,f20]) ).
fof(f20,plain,
! [X0] :
( less(X0,sK0(X0))
| p(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f19,plain,
! [X2,X0,X1] :
( ~ less(X1,X0)
| ~ less(X2,X1)
| less(X2,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( less(X2,X0)
| ~ less(X2,X1)
| ~ less(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,plain,
! [X0,X2,X1] :
( less(X1,X0)
| ~ less(X1,X2)
| ~ less(X2,X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X0] :
( less(X1,X0)
| ~ less(X2,X0)
| ~ less(X1,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X2,X1,X0] :
( ( less(X2,X0)
& less(X1,X2) )
=> less(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ( less(X0,X1)
& less(X1,X2) )
=> less(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_less) ).
fof(f56,plain,
! [X0] : p(X0),
inference(resolution,[],[f55,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % 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 : n021.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 : Tue Aug 30 03:22:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (15897)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.50 % (15896)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 (3000ds/51Mi)
% 0.19/0.50 % (15910)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 (3000ds/467Mi)
% 0.19/0.50 % (15888)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51 % (15902)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 (3000ds/75Mi)
% 0.19/0.51 % (15894)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51 % (15891)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.51 % (15895)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.51 % (15891)First to succeed.
% 0.19/0.51 % (15912)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/500Mi)
% 0.19/0.51 % (15888)Refutation not found, incomplete strategy% (15888)------------------------------
% 0.19/0.51 % (15888)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (15888)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (15888)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (15888)Memory used [KB]: 5373
% 0.19/0.51 % (15888)Time elapsed: 0.105 s
% 0.19/0.51 % (15888)Instructions burned: 1 (million)
% 0.19/0.51 % (15888)------------------------------
% 0.19/0.51 % (15888)------------------------------
% 0.19/0.52 % (15913)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 (3000ds/68Mi)
% 0.19/0.52 % (15915)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.52 % (15899)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.19/0.52 % (15893)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (15889)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 (3000ds/37Mi)
% 0.19/0.52 TRYING [5]
% 0.19/0.52 TRYING [6]
% 0.19/0.52 % (15890)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.52 % (15916)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.52 % (15901)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 (3000ds/68Mi)
% 0.19/0.52 % (15914)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 (3000ds/177Mi)
% 0.19/0.53 % (15907)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.19/0.53 % (15908)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.53 % (15887)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 (3000ds/191324Mi)
% 0.19/0.53 % (15891)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (15891)------------------------------
% 0.19/0.53 % (15891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15891)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (15891)Memory used [KB]: 5373
% 0.19/0.53 % (15891)Time elapsed: 0.109 s
% 0.19/0.53 % (15891)Instructions burned: 2 (million)
% 0.19/0.53 % (15891)------------------------------
% 0.19/0.53 % (15891)------------------------------
% 0.19/0.53 % (15886)Success in time 0.177 s
%------------------------------------------------------------------------------