TSTP Solution File: CAT011-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT011-1 : 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 : n004.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 15:50:42 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 15 ( 8 unt; 1 typ; 0 def)
% Number of atoms : 61 ( 3 equ)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 23 ( 14 ~; 8 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 38 ( 38 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 19 ( 18 !; 0 ?; 19 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f48,plain,
$false,
inference(subsumption_resolution,[],[f47,f12]) ).
tff(f12,axiom,
! [X0: $i] : defined(X0,domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mapping_from_x_to_its_domain) ).
tff(f47,plain,
~ defined(domain(a),domain(domain(a))),
inference(subsumption_resolution,[],[f44,f10]) ).
tff(f10,axiom,
! [X0: $i] : identity_map(domain(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
tff(f44,plain,
( ~ identity_map(domain(a))
| ~ defined(domain(a),domain(domain(a))) ),
inference(resolution,[],[f36,f16]) ).
tff(f16,axiom,
! [X0: $i,X1: $i] :
( ~ identity_map(X0)
| product(X0,X1,X1)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity1) ).
tff(f36,plain,
~ product(domain(a),domain(domain(a)),domain(domain(a))),
inference(resolution,[],[f26,f14]) ).
tff(f14,axiom,
! [X0: $i] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_on_domain) ).
tff(f26,plain,
! [X0: $i,X1: $i] :
( ~ product(X0,X1,domain(a))
| ~ product(X0,X1,domain(domain(a))) ),
inference(resolution,[],[f22,f21]) ).
tff(f21,plain,
! [X2: $i,X0: $i,X1: $i,X6: $i] :
( ~ product(X0,X1,X2)
| sQ0_eqProxy($i,X2,X6)
| ~ product(X0,X1,X6) ),
inference(equality_proxy_replacement,[],[f18,f20]) ).
tff(f20,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f18,axiom,
! [X2: $i,X0: $i,X1: $i,X6: $i] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X6)
| ( X2 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_is_well_defined) ).
tff(f22,plain,
~ sQ0_eqProxy($i,domain(a),domain(domain(a))),
inference(equality_proxy_replacement,[],[f19,f20]) ).
tff(f19,axiom,
domain(a) != domain(domain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_is_idempotent) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT011-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n004.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 16:14:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (26941)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.48 % (26960)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.48 % (26950)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)
% 0.19/0.48 % (26950)First to succeed.
% 0.19/0.49 % (26970)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.49 % (26970)Refutation not found, incomplete strategy% (26970)------------------------------
% 0.19/0.49 % (26970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (26970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (26970)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (26970)Memory used [KB]: 5884
% 0.19/0.49 % (26970)Time elapsed: 0.109 s
% 0.19/0.49 % (26970)------------------------------
% 0.19/0.49 % (26970)------------------------------
% 0.19/0.49 % (26960)Refutation not found, incomplete strategy% (26960)------------------------------
% 0.19/0.49 % (26960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (26960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (26960)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.49
% 0.19/0.49 % (26960)Memory used [KB]: 10362
% 0.19/0.49 % (26960)Time elapsed: 0.112 s
% 0.19/0.49 % (26960)Instructions burned: 2 (million)
% 0.19/0.49 % (26960)------------------------------
% 0.19/0.49 % (26960)------------------------------
% 0.19/0.49 % (26941)Also succeeded, but the first one will report.
% 0.19/0.49 % (26950)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49 % (26950)------------------------------
% 0.19/0.49 % (26950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (26950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (26950)Termination reason: Refutation
% 0.19/0.49
% 0.19/0.49 % (26950)Memory used [KB]: 5884
% 0.19/0.49 % (26950)Time elapsed: 0.103 s
% 0.19/0.49 % (26950)Instructions burned: 2 (million)
% 0.19/0.49 % (26950)------------------------------
% 0.19/0.49 % (26950)------------------------------
% 0.19/0.49 % (26936)Success in time 0.144 s
%------------------------------------------------------------------------------