TSTP Solution File: CAT008-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT008-1 : 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_uns --cores 0 -t %d %s
% Computer : n003.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 15:50:41 EDT 2022
% Result : Unsatisfiable 1.30s 0.55s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 28 ( 13 unt; 0 def)
% Number of atoms : 50 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 29 ~; 21 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f488,plain,
$false,
inference(subsumption_resolution,[],[f486,f453]) ).
fof(f453,plain,
~ defined(codomain(b),domain(a)),
inference(subsumption_resolution,[],[f450,f11]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f450,plain,
( ~ identity_map(codomain(b))
| ~ defined(codomain(b),domain(a)) ),
inference(resolution,[],[f283,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(f283,plain,
! [X1] : ~ product(codomain(b),domain(X1),domain(a)),
inference(resolution,[],[f166,f10]) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f166,plain,
! [X0] :
( ~ identity_map(X0)
| ~ product(codomain(b),X0,domain(a)) ),
inference(subsumption_resolution,[],[f159,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property1) ).
fof(f159,plain,
! [X0] :
( ~ identity_map(X0)
| ~ defined(codomain(b),X0)
| ~ product(codomain(b),X0,domain(a)) ),
inference(resolution,[],[f34,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(f34,plain,
! [X0,X1] :
( ~ product(X0,X1,codomain(b))
| ~ product(X0,X1,domain(a)) ),
inference(resolution,[],[f22,f23]) ).
fof(f23,plain,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| ~ product(X0,X1,X2)
| sQ0_eqProxy(X2,X6) ),
inference(equality_proxy_replacement,[],[f18,f21]) ).
fof(f21,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X6)
| X2 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f22,plain,
~ sQ0_eqProxy(domain(a),codomain(b)),
inference(equality_proxy_replacement,[],[f20,f21]) ).
fof(f20,axiom,
domain(a) != codomain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_equals_codomain_of_b) ).
fof(f486,plain,
defined(codomain(b),domain(a)),
inference(resolution,[],[f114,f13]) ).
fof(f13,axiom,
! [X0] : defined(codomain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_codomain_of_x_to_x) ).
fof(f114,plain,
! [X14] :
( ~ defined(X14,b)
| defined(X14,domain(a)) ),
inference(resolution,[],[f80,f6]) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( ~ defined(X0,X4)
| defined(X0,X1)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f80,plain,
product(domain(a),b,b),
inference(subsumption_resolution,[],[f77,f10]) ).
fof(f77,plain,
( product(domain(a),b,b)
| ~ identity_map(domain(a)) ),
inference(resolution,[],[f69,f16]) ).
fof(f69,plain,
defined(domain(a),b),
inference(resolution,[],[f26,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_domain) ).
fof(f26,plain,
! [X0,X1] :
( ~ product(X1,X0,a)
| defined(X0,b) ),
inference(resolution,[],[f19,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ defined(X3,X2)
| defined(X1,X2)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_property2) ).
fof(f19,axiom,
defined(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 16:17:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (2469)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.49 % (2468)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.49 % (2461)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.49 % (2461)Instruction limit reached!
% 0.21/0.49 % (2461)------------------------------
% 0.21/0.49 % (2461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49 % (2461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49 % (2461)Termination reason: Unknown
% 0.21/0.49 % (2461)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (2461)Memory used [KB]: 1279
% 0.21/0.49 % (2461)Time elapsed: 0.002 s
% 0.21/0.49 % (2461)Instructions burned: 2 (million)
% 0.21/0.49 % (2461)------------------------------
% 0.21/0.49 % (2461)------------------------------
% 0.21/0.49 % (2460)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.50 TRYING [1]
% 0.21/0.51 TRYING [2]
% 0.21/0.51 TRYING [3]
% 0.21/0.51 % (2460)Instruction limit reached!
% 0.21/0.51 % (2460)------------------------------
% 0.21/0.51 % (2460)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2460)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2460)Termination reason: Unknown
% 0.21/0.51 % (2460)Termination phase: Finite model building constraint generation
% 0.21/0.51
% 0.21/0.51 % (2460)Memory used [KB]: 6012
% 0.21/0.51 % (2460)Time elapsed: 0.068 s
% 0.21/0.51 % (2460)Instructions burned: 7 (million)
% 0.21/0.51 % (2460)------------------------------
% 0.21/0.51 % (2460)------------------------------
% 0.21/0.53 % (2469)Instruction limit reached!
% 0.21/0.53 % (2469)------------------------------
% 0.21/0.53 % (2469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (2469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (2469)Termination reason: Unknown
% 0.21/0.53 % (2469)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (2469)Memory used [KB]: 6268
% 0.21/0.53 % (2469)Time elapsed: 0.106 s
% 0.21/0.53 % (2469)Instructions burned: 46 (million)
% 0.21/0.53 % (2469)------------------------------
% 0.21/0.53 % (2469)------------------------------
% 0.21/0.53 % (2453)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.53 % (2453)Instruction limit reached!
% 0.21/0.53 % (2453)------------------------------
% 0.21/0.53 % (2453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (2453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (2453)Termination reason: Unknown
% 0.21/0.53 % (2453)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (2453)Memory used [KB]: 5884
% 0.21/0.53 % (2453)Time elapsed: 0.118 s
% 0.21/0.53 % (2453)Instructions burned: 3 (million)
% 0.21/0.53 % (2453)------------------------------
% 0.21/0.53 % (2453)------------------------------
% 0.21/0.53 % (2467)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.30/0.54 % (2472)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.30/0.54 % (2470)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.30/0.54 % (2472)Refutation not found, incomplete strategy% (2472)------------------------------
% 1.30/0.54 % (2472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54 % (2472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54 % (2472)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.54
% 1.30/0.54 % (2472)Memory used [KB]: 1407
% 1.30/0.54 % (2472)Time elapsed: 0.135 s
% 1.30/0.54 % (2472)Instructions burned: 1 (million)
% 1.30/0.54 % (2472)------------------------------
% 1.30/0.54 % (2472)------------------------------
% 1.30/0.54 % (2465)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.30/0.55 % (2459)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.30/0.55 % (2468)First to succeed.
% 1.30/0.55 % (2464)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.55 % (2468)Refutation found. Thanks to Tanya!
% 1.30/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.30/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.55 % (2468)------------------------------
% 1.30/0.55 % (2468)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55 % (2468)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55 % (2468)Termination reason: Refutation
% 1.30/0.55
% 1.30/0.55 % (2468)Memory used [KB]: 6140
% 1.30/0.55 % (2468)Time elapsed: 0.099 s
% 1.30/0.55 % (2468)Instructions burned: 28 (million)
% 1.30/0.55 % (2468)------------------------------
% 1.30/0.55 % (2468)------------------------------
% 1.30/0.55 % (2444)Success in time 0.187 s
%------------------------------------------------------------------------------