TSTP Solution File: GRP012+5 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 16:13:42 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 203 ( 55 ~; 42 |; 91 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 231 ( 194 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f523,plain,
$false,
inference(subsumption_resolution,[],[f520,f451]) ).
fof(f451,plain,
product(sK2,sK3,sK0),
inference(unit_resulting_resolution,[],[f12,f18,f55,f16]) ).
fof(f16,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ product(X7,X8,X11)
| ~ product(X6,X9,X8)
| product(X10,X9,X11)
| ~ product(X7,X6,X10) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
( ! [X1] : product(X1,inverse(X1),sK0)
& product(sK1,sK4,sK3)
& product(inverse(sK4),inverse(sK1),sK2)
& ~ product(inverse(sK2),inverse(sK3),sK0)
& ! [X6,X7,X8,X9,X10,X11] :
( ~ product(X7,X8,X11)
| ~ product(X6,X9,X8)
| product(X10,X9,X11)
| ~ product(X7,X6,X10) )
& ! [X12] : product(sK0,X12,X12)
& ! [X13,X14,X15,X16,X17,X18] :
( ~ product(X18,X14,X17)
| ~ product(X16,X14,X13)
| ~ product(X15,X16,X18)
| product(X15,X13,X17) )
& ! [X19,X20] : product(X20,X19,sK5(X19,X20))
& ! [X22] : product(inverse(X22),X22,sK0)
& ! [X23] : product(X23,sK0,X23) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f6,f9,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
( ! [X1] : product(X1,inverse(X1),X0)
& ? [X2,X3,X4,X5] :
( product(X2,X5,X4)
& product(inverse(X5),inverse(X2),X3)
& ~ product(inverse(X3),inverse(X4),X0) )
& ! [X6,X7,X8,X9,X10,X11] :
( ~ product(X7,X8,X11)
| ~ product(X6,X9,X8)
| product(X10,X9,X11)
| ~ product(X7,X6,X10) )
& ! [X12] : product(X0,X12,X12)
& ! [X13,X14,X15,X16,X17,X18] :
( ~ product(X18,X14,X17)
| ~ product(X16,X14,X13)
| ~ product(X15,X16,X18)
| product(X15,X13,X17) )
& ! [X19,X20] :
? [X21] : product(X20,X19,X21)
& ! [X22] : product(inverse(X22),X22,X0)
& ! [X23] : product(X23,X0,X23) )
=> ( ! [X1] : product(X1,inverse(X1),sK0)
& ? [X5,X4,X3,X2] :
( product(X2,X5,X4)
& product(inverse(X5),inverse(X2),X3)
& ~ product(inverse(X3),inverse(X4),sK0) )
& ! [X6,X7,X8,X9,X10,X11] :
( ~ product(X7,X8,X11)
| ~ product(X6,X9,X8)
| product(X10,X9,X11)
| ~ product(X7,X6,X10) )
& ! [X12] : product(sK0,X12,X12)
& ! [X13,X14,X15,X16,X17,X18] :
( ~ product(X18,X14,X17)
| ~ product(X16,X14,X13)
| ~ product(X15,X16,X18)
| product(X15,X13,X17) )
& ! [X19,X20] :
? [X21] : product(X20,X19,X21)
& ! [X22] : product(inverse(X22),X22,sK0)
& ! [X23] : product(X23,sK0,X23) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
( ? [X5,X4,X3,X2] :
( product(X2,X5,X4)
& product(inverse(X5),inverse(X2),X3)
& ~ product(inverse(X3),inverse(X4),sK0) )
=> ( product(sK1,sK4,sK3)
& product(inverse(sK4),inverse(sK1),sK2)
& ~ product(inverse(sK2),inverse(sK3),sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X19,X20] :
( ? [X21] : product(X20,X19,X21)
=> product(X20,X19,sK5(X19,X20)) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
( ! [X1] : product(X1,inverse(X1),X0)
& ? [X2,X3,X4,X5] :
( product(X2,X5,X4)
& product(inverse(X5),inverse(X2),X3)
& ~ product(inverse(X3),inverse(X4),X0) )
& ! [X6,X7,X8,X9,X10,X11] :
( ~ product(X7,X8,X11)
| ~ product(X6,X9,X8)
| product(X10,X9,X11)
| ~ product(X7,X6,X10) )
& ! [X12] : product(X0,X12,X12)
& ! [X13,X14,X15,X16,X17,X18] :
( ~ product(X18,X14,X17)
| ~ product(X16,X14,X13)
| ~ product(X15,X16,X18)
| product(X15,X13,X17) )
& ! [X19,X20] :
? [X21] : product(X20,X19,X21)
& ! [X22] : product(inverse(X22),X22,X0)
& ! [X23] : product(X23,X0,X23) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0] :
( ! [X10] : product(X10,inverse(X10),X0)
& ? [X23,X22,X20,X21] :
( product(X23,X21,X20)
& product(inverse(X21),inverse(X23),X22)
& ~ product(inverse(X22),inverse(X20),X0) )
& ! [X6,X3,X4,X7,X5,X2] :
( ~ product(X3,X4,X2)
| ~ product(X6,X7,X4)
| product(X5,X7,X2)
| ~ product(X3,X6,X5) )
& ! [X8] : product(X0,X8,X8)
& ! [X16,X15,X18,X19,X17,X14] :
( ~ product(X14,X15,X17)
| ~ product(X19,X15,X16)
| ~ product(X18,X19,X14)
| product(X18,X16,X17) )
& ! [X11,X12] :
? [X13] : product(X12,X11,X13)
& ! [X1] : product(inverse(X1),X1,X0)
& ! [X9] : product(X9,X0,X9) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
? [X0] :
( ? [X21,X22,X23,X20] :
( ~ product(inverse(X22),inverse(X20),X0)
& product(inverse(X21),inverse(X23),X22)
& product(X23,X21,X20) )
& ! [X19,X17,X18,X15,X14,X16] :
( product(X18,X16,X17)
| ~ product(X18,X19,X14)
| ~ product(X19,X15,X16)
| ~ product(X14,X15,X17) )
& ! [X9] : product(X9,X0,X9)
& ! [X8] : product(X0,X8,X8)
& ! [X1] : product(inverse(X1),X1,X0)
& ! [X10] : product(X10,inverse(X10),X0)
& ! [X11,X12] :
? [X13] : product(X12,X11,X13)
& ! [X5,X7,X4,X2,X3,X6] :
( product(X5,X7,X2)
| ~ product(X3,X6,X5)
| ~ product(X3,X4,X2)
| ~ product(X6,X7,X4) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ! [X0] :
( ( ! [X19,X17,X18,X15,X14,X16] :
( ( product(X18,X19,X14)
& product(X19,X15,X16)
& product(X14,X15,X17) )
=> product(X18,X16,X17) )
& ! [X9] : product(X9,X0,X9)
& ! [X8] : product(X0,X8,X8)
& ! [X1] : product(inverse(X1),X1,X0)
& ! [X10] : product(X10,inverse(X10),X0)
& ! [X11,X12] :
? [X13] : product(X12,X11,X13)
& ! [X5,X7,X4,X2,X3,X6] :
( ( product(X3,X6,X5)
& product(X3,X4,X2)
& product(X6,X7,X4) )
=> product(X5,X7,X2) ) )
=> ! [X21,X22,X23,X20] :
( ( product(inverse(X21),inverse(X23),X22)
& product(X23,X21,X20) )
=> product(inverse(X22),inverse(X20),X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ! [X1] : product(inverse(X1),X1,X0)
& ! [X6,X1,X5,X4,X2,X3] :
( ( product(X1,X2,X4)
& product(X1,X5,X6)
& product(X2,X3,X5) )
=> product(X4,X3,X6) )
& ! [X1] : product(X0,X1,X1)
& ! [X1] : product(X1,X0,X1)
& ! [X1] : product(X1,inverse(X1),X0)
& ! [X2,X1] :
? [X3] : product(X1,X2,X3)
& ! [X4,X3,X5,X6,X1,X2] :
( ( product(X1,X2,X4)
& product(X4,X3,X6)
& product(X2,X3,X5) )
=> product(X1,X5,X6) ) )
=> ! [X1,X4,X6,X5] :
( ( product(X5,X4,X1)
& product(inverse(X4),inverse(X5),X6) )
=> product(inverse(X6),inverse(X1),X0) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ! [X1] : product(inverse(X1),X1,X0)
& ! [X6,X1,X5,X4,X2,X3] :
( ( product(X1,X2,X4)
& product(X1,X5,X6)
& product(X2,X3,X5) )
=> product(X4,X3,X6) )
& ! [X1] : product(X0,X1,X1)
& ! [X1] : product(X1,X0,X1)
& ! [X1] : product(X1,inverse(X1),X0)
& ! [X2,X1] :
? [X3] : product(X1,X2,X3)
& ! [X4,X3,X5,X6,X1,X2] :
( ( product(X1,X2,X4)
& product(X4,X3,X6)
& product(X2,X3,X5) )
=> product(X1,X5,X6) ) )
=> ! [X1,X4,X6,X5] :
( ( product(X5,X4,X1)
& product(inverse(X4),inverse(X5),X6) )
=> product(inverse(X6),inverse(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distribution) ).
fof(f55,plain,
product(inverse(sK1),sK3,sK4),
inference(unit_resulting_resolution,[],[f19,f12,f15,f14]) ).
fof(f14,plain,
! [X18,X16,X14,X17,X15,X13] :
( ~ product(X18,X14,X17)
| ~ product(X15,X16,X18)
| ~ product(X16,X14,X13)
| product(X15,X13,X17) ),
inference(cnf_transformation,[],[f10]) ).
fof(f15,plain,
! [X12] : product(sK0,X12,X12),
inference(cnf_transformation,[],[f10]) ).
fof(f19,plain,
product(sK1,sK4,sK3),
inference(cnf_transformation,[],[f10]) ).
fof(f18,plain,
product(inverse(sK4),inverse(sK1),sK2),
inference(cnf_transformation,[],[f10]) ).
fof(f12,plain,
! [X22] : product(inverse(X22),X22,sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f520,plain,
~ product(sK2,sK3,sK0),
inference(unit_resulting_resolution,[],[f20,f15,f57,f14]) ).
fof(f57,plain,
~ product(sK2,sK0,inverse(sK3)),
inference(unit_resulting_resolution,[],[f17,f12,f15,f14]) ).
fof(f17,plain,
~ product(inverse(sK2),inverse(sK3),sK0),
inference(cnf_transformation,[],[f10]) ).
fof(f20,plain,
! [X1] : product(X1,inverse(X1),sK0),
inference(cnf_transformation,[],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.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 22:03:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (2570)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.49 % (2578)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.18/0.50 % (2557)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (2566)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (2560)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50 % (2566)Instruction limit reached!
% 0.18/0.50 % (2566)------------------------------
% 0.18/0.50 % (2566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (2561)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.18/0.50 % (2566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (2566)Termination reason: Unknown
% 0.18/0.50 % (2566)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (2566)Memory used [KB]: 6012
% 0.18/0.50 % (2566)Time elapsed: 0.107 s
% 0.18/0.50 % (2566)Instructions burned: 8 (million)
% 0.18/0.50 % (2566)------------------------------
% 0.18/0.50 % (2566)------------------------------
% 0.18/0.51 % (2574)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.18/0.51 % (2556)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (2569)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51 % (2564)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.51 % (2570)Instruction limit reached!
% 0.18/0.51 % (2570)------------------------------
% 0.18/0.51 % (2570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (2570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (2570)Termination reason: Unknown
% 0.18/0.51 % (2570)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (2570)Memory used [KB]: 6012
% 0.18/0.51 % (2570)Time elapsed: 0.075 s
% 0.18/0.51 % (2570)Instructions burned: 9 (million)
% 0.18/0.51 % (2570)------------------------------
% 0.18/0.51 % (2570)------------------------------
% 0.18/0.51 % (2558)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.51 % (2562)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.51 % (2565)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.18/0.51 % (2579)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (2559)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.52 % (2577)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.18/0.52 % (2555)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.18/0.52 % (2565)Instruction limit reached!
% 0.18/0.52 % (2565)------------------------------
% 0.18/0.52 % (2565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (2565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (2565)Termination reason: Unknown
% 0.18/0.52 % (2565)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (2565)Memory used [KB]: 6012
% 0.18/0.52 % (2565)Time elapsed: 0.127 s
% 0.18/0.52 % (2565)Instructions burned: 12 (million)
% 0.18/0.52 % (2565)------------------------------
% 0.18/0.52 % (2565)------------------------------
% 0.18/0.52 % (2574)Instruction limit reached!
% 0.18/0.52 % (2574)------------------------------
% 0.18/0.52 % (2574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (2574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (2574)Termination reason: Unknown
% 0.18/0.52 % (2574)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (2574)Memory used [KB]: 6012
% 0.18/0.52 % (2574)Time elapsed: 0.124 s
% 0.18/0.52 % (2574)Instructions burned: 11 (million)
% 0.18/0.52 % (2574)------------------------------
% 0.18/0.52 % (2574)------------------------------
% 0.18/0.52 % (2575)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.18/0.52 % (2569)Instruction limit reached!
% 0.18/0.52 % (2569)------------------------------
% 0.18/0.52 % (2569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (2569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (2569)Termination reason: Unknown
% 0.18/0.52 % (2569)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (2569)Memory used [KB]: 5884
% 0.18/0.52 % (2569)Time elapsed: 0.139 s
% 0.18/0.52 % (2569)Instructions burned: 3 (million)
% 0.18/0.52 % (2569)------------------------------
% 0.18/0.52 % (2569)------------------------------
% 0.18/0.52 % (2557)First to succeed.
% 0.18/0.52 % (2554)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.52 % (2557)Refutation found. Thanks to Tanya!
% 0.18/0.52 % SZS status Theorem for theBenchmark
% 0.18/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52 % (2557)------------------------------
% 0.18/0.52 % (2557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (2557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (2557)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (2557)Memory used [KB]: 6140
% 0.18/0.52 % (2557)Time elapsed: 0.126 s
% 0.18/0.52 % (2557)Instructions burned: 17 (million)
% 0.18/0.52 % (2557)------------------------------
% 0.18/0.52 % (2557)------------------------------
% 0.18/0.52 % (2552)Success in time 0.186 s
%------------------------------------------------------------------------------