TSTP Solution File: CAT005-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT005-1 : 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 15:51:15 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 55 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f649,plain,
$false,
inference(subsumption_resolution,[],[f648,f25]) ).
fof(f25,plain,
identity_map(sF0),
inference(superposition,[],[f10,f22]) ).
fof(f22,plain,
domain(a) = sF0,
introduced(function_definition,[]) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f648,plain,
~ identity_map(sF0),
inference(subsumption_resolution,[],[f646,f23]) ).
fof(f23,plain,
d != sF0,
inference(definition_folding,[],[f21,f22]) ).
fof(f21,axiom,
d != domain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f646,plain,
( d = sF0
| ~ identity_map(sF0) ),
inference(resolution,[],[f640,f103]) ).
fof(f103,plain,
! [X6,X7,X5] :
( ~ product(X5,X6,X7)
| ~ identity_map(X5)
| X6 = X7 ),
inference(subsumption_resolution,[],[f98,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property1) ).
fof(f98,plain,
! [X6,X7,X5] :
( X6 = X7
| ~ defined(X5,X6)
| ~ product(X5,X6,X7)
| ~ identity_map(X5) ),
inference(resolution,[],[f18,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity1) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| ~ product(X0,X1,X2)
| X2 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f640,plain,
product(sF0,d,sF0),
inference(subsumption_resolution,[],[f639,f39]) ).
fof(f39,plain,
defined(sF0,d),
inference(resolution,[],[f37,f19]) ).
fof(f19,axiom,
defined(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_defined) ).
fof(f37,plain,
! [X11] :
( ~ defined(a,X11)
| defined(sF0,X11) ),
inference(resolution,[],[f3,f26]) ).
fof(f26,plain,
product(a,sF0,a),
inference(superposition,[],[f14,f22]) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_domain) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ defined(X3,X2)
| defined(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property2) ).
fof(f639,plain,
( ~ defined(sF0,d)
| product(sF0,d,sF0) ),
inference(superposition,[],[f1,f588]) ).
fof(f588,plain,
compose(sF0,d) = sF0,
inference(subsumption_resolution,[],[f586,f20]) ).
fof(f20,axiom,
identity_map(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_identity_map) ).
fof(f586,plain,
( compose(sF0,d) = sF0
| ~ identity_map(d) ),
inference(resolution,[],[f433,f39]) ).
fof(f433,plain,
! [X2,X1] :
( ~ defined(X1,X2)
| ~ identity_map(X2)
| compose(X1,X2) = X1 ),
inference(resolution,[],[f102,f1]) ).
fof(f102,plain,
! [X10,X8,X9] :
( ~ product(X8,X9,X10)
| X8 = X10
| ~ identity_map(X9) ),
inference(subsumption_resolution,[],[f99,f2]) ).
fof(f99,plain,
! [X10,X8,X9] :
( ~ defined(X8,X9)
| X8 = X10
| ~ identity_map(X9)
| ~ product(X8,X9,X10) ),
inference(resolution,[],[f18,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ identity_map(X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity2) ).
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_composition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:40:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (22341)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)
% 0.19/0.49 % (22326)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)
% 0.19/0.50 % (22340)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 % (22338)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (22333)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (22337)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)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 TRYING [4]
% 0.19/0.51 % (22330)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 % (22352)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)
% 0.19/0.52 % (22353)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)
% 0.19/0.52 % (22345)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)
% 0.19/0.52 % (22344)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (22347)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 % (22331)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 % (22328)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)
% 0.19/0.52 % (22327)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)
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (22327)Refutation not found, incomplete strategy% (22327)------------------------------
% 0.19/0.52 % (22327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (22327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (22327)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (22327)Memory used [KB]: 5373
% 0.19/0.52 % (22327)Time elapsed: 0.124 s
% 0.19/0.52 % (22327)Instructions burned: 2 (million)
% 0.19/0.52 % (22327)------------------------------
% 0.19/0.52 % (22327)------------------------------
% 0.19/0.52 % (22335)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)
% 0.19/0.52 % (22355)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 % (22333)Instruction limit reached!
% 0.19/0.53 % (22333)------------------------------
% 0.19/0.53 % (22333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22333)Termination reason: Unknown
% 0.19/0.53 % (22333)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (22333)Memory used [KB]: 5500
% 0.19/0.53 % (22333)Time elapsed: 0.132 s
% 0.19/0.53 % (22333)Instructions burned: 7 (million)
% 0.19/0.53 % (22333)------------------------------
% 0.19/0.53 % (22333)------------------------------
% 0.19/0.53 % (22342)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)
% 0.19/0.53 % (22339)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (22354)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 % (22334)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (22334)Instruction limit reached!
% 0.19/0.53 % (22334)------------------------------
% 0.19/0.53 % (22334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (22334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (22334)Termination reason: Unknown
% 0.19/0.53 % (22334)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (22334)Memory used [KB]: 895
% 0.19/0.53 % (22334)Time elapsed: 0.002 s
% 0.19/0.53 % (22334)Instructions burned: 2 (million)
% 0.19/0.53 % (22334)------------------------------
% 0.19/0.53 % (22334)------------------------------
% 0.19/0.53 % (22329)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)
% 0.19/0.54 % (22338)First to succeed.
% 0.19/0.54 % (22332)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)
% 0.19/0.54 TRYING [1]
% 0.19/0.54 TRYING [2]
% 0.19/0.54 TRYING [3]
% 0.19/0.54 % (22350)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (22336)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (22338)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (22338)------------------------------
% 0.19/0.55 % (22338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (22338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (22338)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (22338)Memory used [KB]: 5628
% 0.19/0.55 % (22338)Time elapsed: 0.126 s
% 0.19/0.55 % (22338)Instructions burned: 20 (million)
% 0.19/0.55 % (22338)------------------------------
% 0.19/0.55 % (22338)------------------------------
% 0.19/0.55 % (22325)Success in time 0.197 s
%------------------------------------------------------------------------------