TSTP Solution File: LAT259-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n013.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 17:36:28 EDT 2022
% Result : Unsatisfiable 1.21s 0.52s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 74 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 74 ( 37 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-4 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f37,f47,f49,f51]) ).
fof(f51,plain,
spl3_4,
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| spl3_4 ),
inference(resolution,[],[f46,f10]) ).
fof(f10,plain,
c_in(sF0,v_r,sF1),
inference(definition_folding,[],[f1,f9,f8]) ).
fof(f8,plain,
c_Pair(v_a,v_b,t_a,t_a) = sF0,
introduced(function_definition,[]) ).
fof(f9,plain,
tc_prod(t_a,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f1,axiom,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f46,plain,
( ~ c_in(sF0,v_r,sF1)
| spl3_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl3_4
<=> c_in(sF0,v_r,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f49,plain,
spl3_3,
inference(avatar_contradiction_clause,[],[f48]) ).
fof(f48,plain,
( $false
| spl3_3 ),
inference(resolution,[],[f42,f14]) ).
fof(f14,plain,
c_Relation_Oantisym(v_r,t_a),
inference(forward_demodulation,[],[f13,f7]) ).
fof(f7,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f13,plain,
c_Relation_Oantisym(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(resolution,[],[f5,f6]) ).
fof(f6,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f5,axiom,
! [X1,X4] :
( ~ c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X4,X1,tc_Product__Type_Ounit),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_1) ).
fof(f42,plain,
( ~ c_Relation_Oantisym(v_r,t_a)
| spl3_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl3_3
<=> c_Relation_Oantisym(v_r,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f47,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f38,f22,f44,f40]) ).
fof(f22,plain,
( spl3_1
<=> ! [X1] :
( ~ c_Relation_Oantisym(X1,t_a)
| ~ c_in(sF2,X1,sF1)
| ~ c_in(sF0,X1,sF1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f38,plain,
( ~ c_in(sF0,v_r,sF1)
| ~ c_Relation_Oantisym(v_r,t_a)
| ~ spl3_1 ),
inference(resolution,[],[f23,f12]) ).
fof(f12,plain,
c_in(sF2,v_r,sF1),
inference(definition_folding,[],[f2,f9,f11]) ).
fof(f11,plain,
c_Pair(v_b,v_a,t_a,t_a) = sF2,
introduced(function_definition,[]) ).
fof(f2,axiom,
c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f23,plain,
( ! [X1] :
( ~ c_in(sF2,X1,sF1)
| ~ c_in(sF0,X1,sF1)
| ~ c_Relation_Oantisym(X1,t_a) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f37,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f36]) ).
fof(f36,plain,
( $false
| ~ spl3_2 ),
inference(trivial_inequality_removal,[],[f35]) ).
fof(f35,plain,
( v_a != v_a
| ~ spl3_2 ),
inference(superposition,[],[f3,f27]) ).
fof(f27,plain,
( v_a = v_b
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl3_2
<=> v_a = v_b ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f3,axiom,
v_a != v_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f32,plain,
( spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f31,f22,f25]) ).
fof(f31,plain,
! [X0] :
( ~ c_in(sF2,X0,sF1)
| ~ c_Relation_Oantisym(X0,t_a)
| ~ c_in(sF0,X0,sF1)
| v_a = v_b ),
inference(forward_demodulation,[],[f30,f11]) ).
fof(f30,plain,
! [X0] :
( ~ c_Relation_Oantisym(X0,t_a)
| ~ c_in(c_Pair(v_b,v_a,t_a,t_a),X0,sF1)
| v_a = v_b
| ~ c_in(sF0,X0,sF1) ),
inference(forward_demodulation,[],[f29,f9]) ).
fof(f29,plain,
! [X0] :
( ~ c_Relation_Oantisym(X0,t_a)
| ~ c_in(sF0,X0,sF1)
| v_a = v_b
| ~ c_in(c_Pair(v_b,v_a,t_a,t_a),X0,tc_prod(t_a,t_a)) ),
inference(forward_demodulation,[],[f15,f9]) ).
fof(f15,plain,
! [X0] :
( ~ c_in(sF0,X0,tc_prod(t_a,t_a))
| ~ c_Relation_Oantisym(X0,t_a)
| v_a = v_b
| ~ c_in(c_Pair(v_b,v_a,t_a,t_a),X0,tc_prod(t_a,t_a)) ),
inference(superposition,[],[f4,f8]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))
| X2 = X3
| ~ c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))
| ~ c_Relation_Oantisym(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Oantisym__def_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT259-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : n013.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 : Tue Aug 30 00:53:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (979)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)
% 1.21/0.51 % (971)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)
% 1.21/0.51 % (979)First to succeed.
% 1.21/0.52 % (980)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.21/0.52 % (993)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)
% 1.21/0.52 % (995)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.21/0.52 % (979)Refutation found. Thanks to Tanya!
% 1.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.52 % (979)------------------------------
% 1.21/0.52 % (979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.21/0.52 % (979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.21/0.52 % (979)Termination reason: Refutation
% 1.21/0.52
% 1.21/0.52 % (979)Memory used [KB]: 5373
% 1.21/0.52 % (979)Time elapsed: 0.111 s
% 1.21/0.52 % (979)Instructions burned: 2 (million)
% 1.21/0.52 % (979)------------------------------
% 1.21/0.52 % (979)------------------------------
% 1.21/0.52 % (966)Success in time 0.165 s
%------------------------------------------------------------------------------