TSTP Solution File: FLD001-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD001-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n025.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 16:06:32 EDT 2022
% Result : Unsatisfiable 1.50s 0.57s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 26 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f340,plain,
$false,
inference(subsumption_resolution,[],[f338,f30]) ).
fof(f30,axiom,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).
fof(f338,plain,
product(multiplicative_identity,a,b),
inference(resolution,[],[f311,f10]) ).
fof(f10,axiom,
! [X3,X0,X5] :
( ~ product(X0,X3,X5)
| product(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_multiplication) ).
fof(f311,plain,
product(a,multiplicative_identity,b),
inference(subsumption_resolution,[],[f310,f27]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f310,plain,
( ~ defined(a)
| product(a,multiplicative_identity,b) ),
inference(resolution,[],[f282,f32]) ).
fof(f32,plain,
! [X0] :
( sum(X0,additive_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f282,plain,
! [X0] :
( ~ sum(a,additive_identity,X0)
| product(X0,multiplicative_identity,b) ),
inference(subsumption_resolution,[],[f279,f14]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f279,plain,
! [X0] :
( product(X0,multiplicative_identity,b)
| ~ sum(a,additive_identity,X0)
| ~ defined(additive_identity) ),
inference(resolution,[],[f201,f31]) ).
fof(f31,plain,
sum(a,additive_identity,b),
inference(resolution,[],[f5,f29]) ).
fof(f29,axiom,
sum(additive_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
fof(f201,plain,
! [X8,X6,X7] :
( ~ sum(a,X6,X8)
| product(X7,multiplicative_identity,X8)
| ~ sum(a,X6,X7)
| ~ defined(X6) ),
inference(resolution,[],[f159,f27]) ).
fof(f159,plain,
! [X3,X6,X4,X5] :
( ~ defined(X3)
| ~ sum(X3,X4,X6)
| ~ defined(X4)
| product(X6,multiplicative_identity,X5)
| ~ sum(X3,X4,X5) ),
inference(resolution,[],[f58,f33]) ).
fof(f33,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[],[f10,f8]) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_multiplication) ).
fof(f58,plain,
! [X8,X6,X9,X7,X5] :
( ~ product(X5,multiplicative_identity,X6)
| ~ sum(X7,X6,X9)
| ~ defined(X7)
| ~ sum(X7,X5,X8)
| product(X8,multiplicative_identity,X9) ),
inference(resolution,[],[f12,f33]) ).
fof(f12,axiom,
! [X3,X0,X8,X6,X9,X7,X5] :
( ~ product(X0,X5,X6)
| ~ product(X3,X5,X7)
| ~ sum(X0,X3,X9)
| ~ sum(X6,X7,X8)
| product(X9,X5,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD001-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % 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 : n025.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 : Mon Aug 29 20:42:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (16920)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48 % (16920)Instruction limit reached!
% 0.19/0.48 % (16920)------------------------------
% 0.19/0.48 % (16920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (16911)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 (2999ds/191324Mi)
% 0.19/0.49 % (16920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (16920)Termination reason: Unknown
% 0.19/0.49 % (16920)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (16920)Memory used [KB]: 5373
% 0.19/0.49 % (16920)Time elapsed: 0.003 s
% 0.19/0.49 % (16920)Instructions burned: 3 (million)
% 0.19/0.49 % (16920)------------------------------
% 0.19/0.49 % (16920)------------------------------
% 0.19/0.49 TRYING [1]
% 0.19/0.50 % (16930)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (16913)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)
% 0.19/0.50 % (16936)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (16915)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (16914)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)
% 0.19/0.51 % (16922)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (16916)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)
% 0.19/0.52 % (16927)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)
% 0.19/0.52 % (16941)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (16940)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 (2999ds/177Mi)
% 0.19/0.53 % (16942)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 (2999ds/355Mi)
% 0.19/0.53 TRYING [4]
% 1.38/0.53 % (16919)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.53 % (16923)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)
% 1.38/0.53 % (16917)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)
% 1.38/0.53 TRYING [1]
% 1.38/0.53 TRYING [2]
% 1.38/0.53 % (16932)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)
% 1.38/0.53 TRYING [3]
% 1.38/0.53 % (16935)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)
% 1.38/0.54 % (16934)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)
% 1.38/0.54 % (16931)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.54 % (16929)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.38/0.54 % (16921)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)
% 1.38/0.54 % (16933)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.38/0.54 % (16913)Instruction limit reached!
% 1.38/0.54 % (16913)------------------------------
% 1.38/0.54 % (16913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (16926)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)
% 1.38/0.54 % (16939)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)
% 1.38/0.54 % (16924)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.50/0.55 % (16912)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.55 % (16925)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.55 % (16913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (16913)Termination reason: Unknown
% 1.50/0.55 % (16913)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (16913)Memory used [KB]: 1279
% 1.50/0.55 % (16913)Time elapsed: 0.148 s
% 1.50/0.55 % (16913)Instructions burned: 37 (million)
% 1.50/0.55 % (16913)------------------------------
% 1.50/0.55 % (16913)------------------------------
% 1.50/0.55 % (16912)Refutation not found, incomplete strategy% (16912)------------------------------
% 1.50/0.55 % (16912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (16912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (16912)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55
% 1.50/0.55 % (16912)Memory used [KB]: 5373
% 1.50/0.55 % (16912)Time elapsed: 0.157 s
% 1.50/0.55 % (16912)Instructions burned: 1 (million)
% 1.50/0.55 % (16912)------------------------------
% 1.50/0.55 % (16912)------------------------------
% 1.50/0.55 % (16928)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.55 % (16937)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.55 % (16919)Instruction limit reached!
% 1.50/0.55 % (16919)------------------------------
% 1.50/0.55 % (16919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (16919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (16919)Termination reason: Unknown
% 1.50/0.55 % (16919)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (16919)Memory used [KB]: 5500
% 1.50/0.55 % (16919)Time elapsed: 0.147 s
% 1.50/0.55 % (16919)Instructions burned: 8 (million)
% 1.50/0.55 % (16919)------------------------------
% 1.50/0.55 % (16919)------------------------------
% 1.50/0.56 TRYING [4]
% 1.50/0.56 TRYING [1]
% 1.50/0.56 TRYING [2]
% 1.50/0.56 % (16935)First to succeed.
% 1.50/0.56 TRYING [3]
% 1.50/0.57 % (16935)Refutation found. Thanks to Tanya!
% 1.50/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.50/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.57 % (16935)------------------------------
% 1.50/0.57 % (16935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (16935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (16935)Termination reason: Refutation
% 1.50/0.57
% 1.50/0.57 % (16935)Memory used [KB]: 5500
% 1.50/0.57 % (16935)Time elapsed: 0.137 s
% 1.50/0.57 % (16935)Instructions burned: 18 (million)
% 1.50/0.57 % (16935)------------------------------
% 1.50/0.57 % (16935)------------------------------
% 1.50/0.57 % (16908)Success in time 0.215 s
%------------------------------------------------------------------------------