TSTP Solution File: RNG003-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : RNG003-1 : 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 : n018.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 18:15:13 EDT 2022
% Result : Unsatisfiable 1.86s 0.61s
% Output : Refutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 13 unt; 0 def)
% Number of atoms : 34 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(subsumption_resolution,[],[f230,f20]) ).
fof(f20,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_b) ).
fof(f230,plain,
a = b,
inference(forward_demodulation,[],[f224,f195]) ).
fof(f195,plain,
a = add(additive_inverse(c),d),
inference(resolution,[],[f193,f39]) ).
fof(f39,plain,
! [X2,X0,X1] :
( ~ sum(X0,X1,X2)
| add(X1,X0) = X2 ),
inference(resolution,[],[f38,f16]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| ~ sum(X0,X1,X2)
| X2 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f38,plain,
! [X3,X4] : sum(X3,X4,add(X4,X3)),
inference(resolution,[],[f4,f9]) ).
fof(f9,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f193,plain,
sum(d,additive_inverse(c),a),
inference(resolution,[],[f189,f6]) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f189,plain,
! [X4] :
( ~ sum(c,X4,additive_identity)
| sum(d,X4,a) ),
inference(resolution,[],[f110,f2]) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f110,plain,
! [X31,X29,X30] :
( ~ sum(a,X29,X30)
| sum(d,X31,X30)
| ~ sum(c,X31,X29) ),
inference(resolution,[],[f8,f18]) ).
fof(f18,axiom,
sum(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_c_is_d) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X4,X5)
| sum(X2,X3,X5)
| ~ sum(X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition2) ).
fof(f224,plain,
b = add(additive_inverse(c),d),
inference(resolution,[],[f221,f39]) ).
fof(f221,plain,
sum(d,additive_inverse(c),b),
inference(resolution,[],[f216,f6]) ).
fof(f216,plain,
! [X4] :
( ~ sum(c,X4,additive_identity)
| sum(d,X4,b) ),
inference(resolution,[],[f111,f2]) ).
fof(f111,plain,
! [X34,X32,X33] :
( ~ sum(b,X32,X33)
| sum(d,X34,X33)
| ~ sum(c,X34,X32) ),
inference(resolution,[],[f8,f19]) ).
fof(f19,axiom,
sum(b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c_is_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 11:43:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 % (20386)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (20378)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (20397)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)
% 0.20/0.57 % (20402)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.57 % (20389)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)
% 0.20/0.58 % (20381)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.59 % (20380)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)
% 0.20/0.59 TRYING [1]
% 0.20/0.59 TRYING [2]
% 0.20/0.59 % (20384)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.60 % (20385)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)
% 0.20/0.60 % (20382)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.60 % (20402)First to succeed.
% 0.20/0.60 % (20382)Instruction limit reached!
% 0.20/0.60 % (20382)------------------------------
% 0.20/0.60 % (20382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (20382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (20382)Termination reason: Unknown
% 0.20/0.60 % (20382)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (20382)Memory used [KB]: 5373
% 0.20/0.60 % (20382)Time elapsed: 0.003 s
% 0.20/0.60 % (20382)Instructions burned: 2 (million)
% 0.20/0.60 % (20382)------------------------------
% 0.20/0.60 % (20382)------------------------------
% 0.20/0.60 % (20381)Instruction limit reached!
% 0.20/0.60 % (20381)------------------------------
% 0.20/0.60 % (20381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (20381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (20381)Termination reason: Unknown
% 0.20/0.60 % (20381)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (20381)Memory used [KB]: 5500
% 0.20/0.60 % (20381)Time elapsed: 0.101 s
% 0.20/0.60 % (20381)Instructions burned: 7 (million)
% 0.20/0.60 % (20381)------------------------------
% 0.20/0.60 % (20381)------------------------------
% 1.86/0.61 % (20396)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)
% 1.86/0.61 % (20397)Also succeeded, but the first one will report.
% 1.86/0.61 % (20402)Refutation found. Thanks to Tanya!
% 1.86/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.86/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.86/0.61 % (20402)------------------------------
% 1.86/0.61 % (20402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61 % (20402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61 % (20402)Termination reason: Refutation
% 1.86/0.61
% 1.86/0.61 % (20402)Memory used [KB]: 5500
% 1.86/0.61 % (20402)Time elapsed: 0.173 s
% 1.86/0.61 % (20402)Instructions burned: 11 (million)
% 1.86/0.61 % (20402)------------------------------
% 1.86/0.61 % (20402)------------------------------
% 1.86/0.61 % (20373)Success in time 0.249 s
%------------------------------------------------------------------------------