TSTP Solution File: ALG002-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG002-1 : 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 : n017.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 15:41:56 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 24 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f262,plain,
$false,
inference(subsumption_resolution,[],[f257,f66]) ).
fof(f66,plain,
greater_than_0(multiplicative_identity),
inference(subsumption_resolution,[],[f62,f13]) ).
fof(f13,axiom,
greater_than_0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_greater_than_0) ).
fof(f62,plain,
( greater_than_0(multiplicative_identity)
| ~ greater_than_0(a) ),
inference(resolution,[],[f59,f7]) ).
fof(f7,axiom,
! [X0] :
( ~ greater_than_0(additive_inverse(X0))
| ~ greater_than_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_greater_than_0) ).
fof(f59,plain,
( greater_than_0(additive_inverse(a))
| greater_than_0(multiplicative_identity) ),
inference(resolution,[],[f43,f1]) ).
fof(f1,axiom,
! [X0] : product(X0,multiplicative_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f43,plain,
! [X0] :
( ~ product(a,multiplicative_identity,X0)
| greater_than_0(multiplicative_identity)
| greater_than_0(additive_inverse(X0)) ),
inference(resolution,[],[f32,f23]) ).
fof(f23,plain,
! [X1] :
( ~ product(additive_inverse(multiplicative_identity),a,X1)
| greater_than_0(multiplicative_identity)
| greater_than_0(X1) ),
inference(resolution,[],[f18,f17]) ).
fof(f17,plain,
( greater_than_0(additive_inverse(multiplicative_identity))
| greater_than_0(multiplicative_identity) ),
inference(resolution,[],[f2,f10]) ).
fof(f10,axiom,
! [X0] :
( product(X0,X0,additive_identity)
| greater_than_0(X0)
| greater_than_0(additive_inverse(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_and_inverse) ).
fof(f2,axiom,
~ product(multiplicative_identity,multiplicative_identity,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_abelian) ).
fof(f18,plain,
! [X0,X1] :
( ~ greater_than_0(X0)
| greater_than_0(X1)
| ~ product(X0,a,X1) ),
inference(resolution,[],[f12,f13]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ greater_than_0(X2)
| ~ greater_than_0(X1)
| ~ product(X1,X2,X0)
| greater_than_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_and_greater_than_0) ).
fof(f32,plain,
! [X2,X0,X1] :
( product(additive_inverse(X1),X0,additive_inverse(X2))
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f5,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_product) ).
fof(f5,axiom,
! [X2,X0,X1] :
( product(X0,additive_inverse(X1),additive_inverse(X2))
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_to_inverse) ).
fof(f257,plain,
~ greater_than_0(multiplicative_identity),
inference(resolution,[],[f237,f7]) ).
fof(f237,plain,
greater_than_0(additive_inverse(multiplicative_identity)),
inference(subsumption_resolution,[],[f235,f15]) ).
fof(f15,plain,
~ product(a,a,additive_identity),
inference(resolution,[],[f8,f13]) ).
fof(f8,axiom,
! [X0] :
( ~ greater_than_0(X0)
| ~ product(X0,X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',greater_than_0_square) ).
fof(f235,plain,
( product(a,a,additive_identity)
| greater_than_0(additive_inverse(multiplicative_identity)) ),
inference(resolution,[],[f221,f6]) ).
fof(f6,axiom,
! [X0] :
( product(X0,multiplicative_inverse(X0),multiplicative_identity)
| product(X0,X0,additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse_and_identity) ).
fof(f221,plain,
! [X0] :
( ~ product(a,multiplicative_inverse(a),X0)
| greater_than_0(additive_inverse(X0)) ),
inference(resolution,[],[f212,f32]) ).
fof(f212,plain,
! [X1] :
( ~ product(additive_inverse(multiplicative_inverse(a)),a,X1)
| greater_than_0(X1) ),
inference(resolution,[],[f204,f18]) ).
fof(f204,plain,
greater_than_0(additive_inverse(multiplicative_inverse(a))),
inference(subsumption_resolution,[],[f197,f14]) ).
fof(f14,axiom,
~ greater_than_0(multiplicative_inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_greater_than_0) ).
fof(f197,plain,
( greater_than_0(additive_inverse(multiplicative_inverse(a)))
| greater_than_0(multiplicative_inverse(a)) ),
inference(resolution,[],[f95,f15]) ).
fof(f95,plain,
! [X21] :
( greater_than_0(additive_inverse(multiplicative_inverse(X21)))
| product(X21,X21,additive_identity)
| greater_than_0(multiplicative_inverse(X21)) ),
inference(subsumption_resolution,[],[f92,f2]) ).
fof(f92,plain,
! [X21] :
( greater_than_0(additive_inverse(multiplicative_inverse(X21)))
| greater_than_0(multiplicative_inverse(X21))
| product(multiplicative_identity,multiplicative_identity,additive_identity)
| product(X21,X21,additive_identity) ),
inference(resolution,[],[f36,f26]) ).
fof(f26,plain,
! [X1] :
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| product(X1,X1,additive_identity) ),
inference(resolution,[],[f9,f6]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| greater_than_0(additive_inverse(X1))
| greater_than_0(X1)
| product(X0,X0,additive_identity) ),
inference(resolution,[],[f11,f10]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ product(X1,X1,additive_identity)
| product(X0,X0,additive_identity)
| ~ product(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_to_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % 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 : n017.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 14:14:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % (32189)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)
% 0.18/0.49 % (32206)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.49 % (32182)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 % (32201)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 (2999ds/176Mi)
% 0.18/0.50 % (32198)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50 % (32192)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (32182)First to succeed.
% 0.18/0.50 % (32190)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 % (32205)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (32203)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)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (32183)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)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (32184)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (32195)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)
% 0.18/0.52 TRYING [4]
% 0.18/0.52 % (32204)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)
% 0.18/0.52 % (32206)Also succeeded, but the first one will report.
% 0.18/0.52 % (32185)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)
% 0.18/0.52 % (32182)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 % (32182)------------------------------
% 0.18/0.52 % (32182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (32182)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (32182)Termination reason: Refutation
% 0.18/0.52
% 0.18/0.52 % (32182)Memory used [KB]: 1023
% 0.18/0.52 % (32182)Time elapsed: 0.110 s
% 0.18/0.52 % (32182)Instructions burned: 13 (million)
% 0.18/0.52 % (32182)------------------------------
% 0.18/0.52 % (32182)------------------------------
% 0.18/0.52 % (32179)Success in time 0.179 s
%------------------------------------------------------------------------------