TSTP Solution File: SWV415+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV415+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n012.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 18:45:30 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 25 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 10 ~; 0 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 102 ( 90 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f269,plain,
$false,
inference(subsumption_resolution,[],[f260,f170]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X4,X2,X5),X1)) = i(insert_cpq(triple(X0,X2,X3),X1)),
inference(superposition,[],[f152,f146]) ).
fof(f146,plain,
! [X2,X3,X0,X1] : triple(insert_pqp(X1,X2),insert_slb(X0,pair(X2,bottom)),X3) = insert_cpq(triple(X1,X0,X3),X2),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] : triple(insert_pqp(X1,X2),insert_slb(X0,pair(X2,bottom)),X3) = insert_cpq(triple(X1,X0,X3),X2),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X0,X3,X2,X1] : triple(insert_pqp(X3,X2),insert_slb(X0,pair(X2,bottom)),X1) = insert_cpq(triple(X3,X0,X1),X2),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X2,X3,X0] : insert_cpq(triple(X0,X1,X2),X3) = triple(insert_pqp(X0,X3),insert_slb(X1,pair(X3,bottom)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4,X5] : i(triple(X4,insert_slb(X2,pair(X1,bottom)),X5)) = i(insert_cpq(triple(X0,X2,X3),X1)),
inference(superposition,[],[f134,f146]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X4] : i(triple(X3,X4,X2)) = i(triple(X1,X4,X0)),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4] : i(triple(X3,X4,X2)) = i(triple(X1,X4,X0)),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X2,X0,X1,X3,X4] : i(triple(X3,X4,X1)) = i(triple(X0,X4,X2)),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X1,X3,X4,X0,X2] : i(triple(X0,X2,X3)) = i(triple(X1,X2,X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main2_l12) ).
fof(f260,plain,
! [X4,X5] : i(insert_cpq(triple(X4,sK2,X5),sK3)) != i(insert_cpq(triple(sK1,sK2,sK0),sK3)),
inference(superposition,[],[f166,f177]) ).
fof(f177,plain,
! [X2,X3,X0,X1,X4,X5] : i(insert_cpq(triple(X4,X1,X5),X2)) = insert_pq(i(triple(X0,X1,X3)),X2),
inference(superposition,[],[f137,f152]) ).
fof(f137,plain,
! [X2,X3,X0,X1,X4] : insert_pq(i(triple(X4,X1,X3)),X2) = i(triple(X4,insert_slb(X1,pair(X2,X0)),X3)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] : insert_pq(i(triple(X4,X1,X3)),X2) = i(triple(X4,insert_slb(X1,pair(X2,X0)),X3)),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X2,X3,X1,X0,X4] : i(triple(X4,insert_slb(X3,pair(X1,X2)),X0)) = insert_pq(i(triple(X4,X3,X0)),X1),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X2,X3,X4,X1,X0] : i(triple(X0,insert_slb(X1,pair(X3,X4)),X2)) = insert_pq(i(triple(X0,X1,X2)),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f166,plain,
! [X0,X1] : insert_pq(i(triple(X0,sK2,X1)),sK3) != i(insert_cpq(triple(sK1,sK2,sK0),sK3)),
inference(superposition,[],[f150,f134]) ).
fof(f150,plain,
i(insert_cpq(triple(sK1,sK2,sK0),sK3)) != insert_pq(i(triple(sK1,sK2,sK0)),sK3),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
i(insert_cpq(triple(sK1,sK2,sK0),sK3)) != insert_pq(i(triple(sK1,sK2,sK0)),sK3),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1,X2,X3] : insert_pq(i(triple(X1,X2,X0)),X3) != i(insert_cpq(triple(X1,X2,X0),X3))
=> i(insert_cpq(triple(sK1,sK2,sK0),sK3)) != insert_pq(i(triple(sK1,sK2,sK0)),sK3) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0,X1,X2,X3] : insert_pq(i(triple(X1,X2,X0)),X3) != i(insert_cpq(triple(X1,X2,X0),X3)),
inference(rectify,[],[f107]) ).
fof(f107,plain,
? [X0,X3,X1,X2] : i(insert_cpq(triple(X3,X1,X0),X2)) != insert_pq(i(triple(X3,X1,X0)),X2),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
~ ! [X1,X0,X3,X2] : i(insert_cpq(triple(X3,X1,X0),X2)) = insert_pq(i(triple(X3,X1,X0)),X2),
inference(rectify,[],[f65]) ).
fof(f65,negated_conjecture,
~ ! [X2,X1,X3,X0] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
inference(negated_conjecture,[],[f64]) ).
fof(f64,conjecture,
! [X2,X1,X3,X0] : insert_pq(i(triple(X0,X1,X2)),X3) = i(insert_cpq(triple(X0,X1,X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV415+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 19:22:20 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 % (10943)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)
% 0.18/0.44 % (10943)Instruction limit reached!
% 0.18/0.44 % (10943)------------------------------
% 0.18/0.44 % (10943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45 % (10951)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.45 % (10968)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.18/0.45 % (10943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45 % (10943)Termination reason: Unknown
% 0.18/0.45 % (10943)Termination phase: Saturation
% 0.18/0.45
% 0.18/0.45 % (10943)Memory used [KB]: 6140
% 0.18/0.45 % (10943)Time elapsed: 0.078 s
% 0.18/0.45 % (10943)Instructions burned: 14 (million)
% 0.18/0.45 % (10943)------------------------------
% 0.18/0.45 % (10943)------------------------------
% 0.18/0.46 % (10951)Refutation not found, incomplete strategy% (10951)------------------------------
% 0.18/0.46 % (10951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (10951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (10951)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46 % (10951)Memory used [KB]: 1663
% 0.18/0.46 % (10951)Time elapsed: 0.102 s
% 0.18/0.46 % (10951)Instructions burned: 6 (million)
% 0.18/0.46 % (10951)------------------------------
% 0.18/0.46 % (10951)------------------------------
% 0.18/0.47 % (10946)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)
% 0.18/0.48 % (10960)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48 % (10953)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)
% 0.18/0.48 % (10968)Instruction limit reached!
% 0.18/0.48 % (10968)------------------------------
% 0.18/0.48 % (10968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (10968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (10968)Termination reason: Unknown
% 0.18/0.48 % (10968)Termination phase: Saturation
% 0.18/0.48
% 0.18/0.48 % (10968)Memory used [KB]: 6524
% 0.18/0.48 % (10968)Time elapsed: 0.109 s
% 0.18/0.48 % (10968)Instructions burned: 27 (million)
% 0.18/0.48 % (10968)------------------------------
% 0.18/0.48 % (10968)------------------------------
% 0.18/0.48 % (10953)Instruction limit reached!
% 0.18/0.48 % (10953)------------------------------
% 0.18/0.48 % (10953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (10940)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)
% 0.18/0.49 % (10939)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.18/0.49 % (10953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (10953)Termination reason: Unknown
% 0.18/0.49 % (10953)Termination phase: Inequality splitting
% 0.18/0.49
% 0.18/0.49 % (10953)Memory used [KB]: 1535
% 0.18/0.49 % (10953)Time elapsed: 0.003 s
% 0.18/0.49 % (10953)Instructions burned: 4 (million)
% 0.18/0.49 % (10953)------------------------------
% 0.18/0.49 % (10953)------------------------------
% 0.18/0.49 % (10961)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)
% 0.18/0.49 % (10942)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)
% 0.18/0.49 % (10944)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)
% 0.18/0.49 % (10954)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)
% 0.18/0.50 % (10941)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)
% 0.18/0.50 % (10941)Instruction limit reached!
% 0.18/0.50 % (10941)------------------------------
% 0.18/0.50 % (10941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (10941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (10941)Termination reason: Unknown
% 0.18/0.50 % (10941)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (10941)Memory used [KB]: 1535
% 0.18/0.50 % (10941)Time elapsed: 0.003 s
% 0.18/0.50 % (10941)Instructions burned: 4 (million)
% 0.18/0.50 % (10941)------------------------------
% 0.18/0.50 % (10941)------------------------------
% 0.18/0.50 % (10947)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)
% 0.18/0.50 % (10948)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)
% 0.18/0.50 % (10959)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)
% 0.18/0.50 % (10967)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50 % (10957)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (10957)Instruction limit reached!
% 0.18/0.50 % (10957)------------------------------
% 0.18/0.50 % (10957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (10957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (10957)Termination reason: Unknown
% 0.18/0.50 % (10957)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (10957)Memory used [KB]: 1407
% 0.18/0.50 % (10957)Time elapsed: 0.002 s
% 0.18/0.50 % (10957)Instructions burned: 2 (million)
% 0.18/0.50 % (10957)------------------------------
% 0.18/0.50 % (10957)------------------------------
% 0.18/0.50 % (10964)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.18/0.50 % (10962)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)
% 0.18/0.51 % (10940)First to succeed.
% 0.18/0.51 % (10958)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 % (10940)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (10940)------------------------------
% 0.18/0.51 % (10940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (10940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (10940)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (10940)Memory used [KB]: 6140
% 0.18/0.51 % (10940)Time elapsed: 0.128 s
% 0.18/0.51 % (10940)Instructions burned: 9 (million)
% 0.18/0.51 % (10940)------------------------------
% 0.18/0.51 % (10940)------------------------------
% 0.18/0.51 % (10938)Success in time 0.177 s
%------------------------------------------------------------------------------