TSTP Solution File: CAT006-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT006-1 : 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 : n011.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 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 31 ( 14 unt; 3 typ; 0 def)
% Number of atoms : 50 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 37 ( 37 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_5,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_6,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_7,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f1190,plain,
$false,
inference(subsumption_resolution,[],[f1188,f40]) ).
fof(f40,plain,
h != codomain(a),
inference(literal_reordering,[],[f21]) ).
fof(f21,axiom,
h != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_h) ).
fof(f1188,plain,
h = codomain(a),
inference(resolution,[],[f341,f360]) ).
fof(f360,plain,
product(h,codomain(a),codomain(a)),
inference(resolution,[],[f114,f30]) ).
fof(f30,plain,
defined(h,a),
inference(literal_reordering,[],[f19]) ).
fof(f19,axiom,
defined(h,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_defined) ).
fof(f114,plain,
! [X2] :
( ~ defined(h,X2)
| product(h,codomain(X2),codomain(X2)) ),
inference(resolution,[],[f84,f71]) ).
fof(f71,plain,
! [X0] :
( ~ defined(h,X0)
| product(h,X0,X0) ),
inference(resolution,[],[f29,f32]) ).
fof(f32,plain,
identity_map(h),
inference(literal_reordering,[],[f20]) ).
fof(f20,axiom,
identity_map(h),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_is_the_identity_map) ).
fof(f29,plain,
! [X0,X1] :
( ~ identity_map(X0)
| ~ defined(X0,X1)
| product(X0,X1,X1) ),
inference(literal_reordering,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| ~ identity_map(X0)
| product(X0,X1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity1) ).
fof(f84,plain,
! [X2,X3] :
( defined(X2,codomain(X3))
| ~ defined(X2,X3) ),
inference(resolution,[],[f34,f38]) ).
fof(f38,plain,
! [X0] : product(codomain(X0),X0,X0),
inference(literal_reordering,[],[f15]) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f34,plain,
! [X2,X0,X1,X4] :
( ~ product(X1,X2,X4)
| defined(X0,X1)
| ~ defined(X0,X4) ),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( defined(X0,X1)
| ~ product(X1,X2,X4)
| ~ defined(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f341,plain,
! [X3] :
( ~ product(h,codomain(a),X3)
| h = X3 ),
inference(resolution,[],[f330,f23]) ).
fof(f23,plain,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X6)
| X2 = X6 ),
inference(literal_reordering,[],[f18]) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X2)
| X2 = X6
| ~ product(X0,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f330,plain,
product(h,codomain(a),h),
inference(resolution,[],[f161,f30]) ).
fof(f161,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,codomain(X1),X0) ),
inference(resolution,[],[f75,f84]) ).
fof(f75,plain,
! [X2,X1] :
( ~ defined(X1,codomain(X2))
| product(X1,codomain(X2),X1) ),
inference(resolution,[],[f39,f31]) ).
fof(f31,plain,
! [X0] : identity_map(codomain(X0)),
inference(literal_reordering,[],[f11]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f39,plain,
! [X0,X1] :
( ~ identity_map(X1)
| product(X0,X1,X0)
| ~ defined(X0,X1) ),
inference(literal_reordering,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,X0)
| ~ identity_map(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT006-1 : 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 : n011.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 : Mon Aug 29 16:14:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.50 % (28776)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.50 % (28762)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.51 % (28759)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (28778)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)
% 0.21/0.52 % (28763)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)
% 0.21/0.52 % (28768)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)
% 0.21/0.52 % (28759)Instruction limit reached!
% 0.21/0.52 % (28759)------------------------------
% 0.21/0.52 % (28759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (28759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (28759)Termination reason: Unknown
% 0.21/0.52 % (28759)Termination phase: Saturation
% 0.21/0.52
% 0.21/0.52 % (28759)Memory used [KB]: 5500
% 0.21/0.52 % (28759)Time elapsed: 0.109 s
% 0.21/0.52 % (28759)Instructions burned: 8 (million)
% 0.21/0.52 % (28759)------------------------------
% 0.21/0.52 % (28759)------------------------------
% 0.21/0.52 % (28752)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)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (28754)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)
% 0.21/0.53 % (28766)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)
% 0.21/0.53 % (28757)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)
% 0.21/0.53 % (28755)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)
% 0.21/0.54 % (28756)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (28770)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (28767)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)
% 0.21/0.54 % (28777)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (28758)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)
% 0.21/0.54 % (28753)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 % (28764)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.54 TRYING [2]
% 0.21/0.54 % (28753)Refutation not found, incomplete strategy% (28753)------------------------------
% 0.21/0.54 % (28753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (28753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (28753)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (28753)Memory used [KB]: 5373
% 0.21/0.54 % (28753)Time elapsed: 0.135 s
% 0.21/0.54 % (28753)Instructions burned: 1 (million)
% 0.21/0.54 % (28753)------------------------------
% 0.21/0.54 % (28753)------------------------------
% 0.21/0.54 % (28781)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)
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (28765)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (28774)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)
% 0.21/0.55 % (28775)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)
% 0.21/0.55 % (28780)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (28761)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)
% 0.21/0.55 TRYING [4]
% 0.21/0.55 % (28769)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (28773)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (28778)First to succeed.
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (28772)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)
% 0.21/0.56 % (28778)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (28778)------------------------------
% 0.21/0.56 % (28778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (28778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (28778)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (28778)Memory used [KB]: 6140
% 0.21/0.56 % (28778)Time elapsed: 0.040 s
% 0.21/0.56 % (28778)Instructions burned: 53 (million)
% 0.21/0.56 % (28778)------------------------------
% 0.21/0.56 % (28778)------------------------------
% 0.21/0.56 % (28751)Success in time 0.194 s
%------------------------------------------------------------------------------