TSTP Solution File: LAT276-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT276-2 : 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 : n024.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 17:36:35 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 33
% Syntax : Number of formulae : 97 ( 17 unt; 0 def)
% Number of atoms : 245 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 267 ( 119 ~; 135 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 14 con; 0-4 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f39,f52,f60,f65,f72,f86,f88,f94,f109,f117,f128,f129,f213,f218,f219]) ).
fof(f219,plain,
( spl8_7
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f118,f37,f63]) ).
fof(f63,plain,
( spl8_7
<=> ! [X1] :
( c_in(sF5(X1),v_r,sF4)
| ~ c_in(X1,v_S,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f37,plain,
( spl8_3
<=> ! [X0] :
( ~ c_in(X0,v_S,t_a)
| c_in(sF5(X0),sF3,sF4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f118,plain,
( ! [X0] :
( c_in(sF5(X0),v_r,sF4)
| ~ c_in(X0,v_S,t_a) )
| ~ spl8_3 ),
inference(forward_demodulation,[],[f38,f53]) ).
fof(f53,plain,
v_r = sF3,
inference(forward_demodulation,[],[f17,f12]) ).
fof(f12,axiom,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
fof(f17,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = sF3,
introduced(function_definition,[]) ).
fof(f38,plain,
( ! [X0] :
( c_in(sF5(X0),sF3,sF4)
| ~ c_in(X0,v_S,t_a) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f218,plain,
( ~ spl8_14
| ~ spl8_9
| spl8_6
| ~ spl8_7
| ~ spl8_26 ),
inference(avatar_split_clause,[],[f217,f211,f63,f57,f83,f125]) ).
fof(f125,plain,
( spl8_14
<=> c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_14])]) ).
fof(f83,plain,
( spl8_9
<=> c_lessequals(v_S,v_A,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f57,plain,
( spl8_6
<=> c_in(sF2,v_r,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f211,plain,
( spl8_26
<=> ! [X0] :
( c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| ~ c_in(sF5(v_sko__4mP(v_xa,X0,v_r)),v_r,sF4)
| ~ c_lessequals(X0,v_A,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_26])]) ).
fof(f217,plain,
( c_in(sF2,v_r,sF4)
| ~ c_lessequals(v_S,v_A,sF7)
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl8_7
| ~ spl8_26 ),
inference(forward_demodulation,[],[f216,f67]) ).
fof(f67,plain,
sF2 = sF5(sF1),
inference(superposition,[],[f20,f16]) ).
fof(f16,plain,
sF2 = c_Pair(sF1,v_xa,t_a,t_a),
introduced(function_definition,[]) ).
fof(f20,plain,
! [X0] : c_Pair(X0,v_xa,t_a,t_a) = sF5(X0),
introduced(function_definition,[]) ).
fof(f216,plain,
( ~ c_lessequals(v_S,v_A,sF7)
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| c_in(sF5(sF1),v_r,sF4)
| ~ spl8_7
| ~ spl8_26 ),
inference(superposition,[],[f215,f15]) ).
fof(f15,plain,
c_Tarski_Olub(v_S,v_cl,t_a) = sF1,
introduced(function_definition,[]) ).
fof(f215,plain,
( ! [X0] :
( c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| ~ c_lessequals(X0,v_A,sF7)
| ~ c_in(v_sko__4mP(v_xa,X0,v_r),v_S,t_a) )
| ~ spl8_7
| ~ spl8_26 ),
inference(resolution,[],[f212,f64]) ).
fof(f64,plain,
( ! [X1] :
( c_in(sF5(X1),v_r,sF4)
| ~ c_in(X1,v_S,t_a) )
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f212,plain,
( ! [X0] :
( ~ c_in(sF5(v_sko__4mP(v_xa,X0,v_r)),v_r,sF4)
| c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| ~ c_lessequals(X0,v_A,sF7) )
| ~ spl8_26 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f213,plain,
( ~ spl8_5
| spl8_26 ),
inference(avatar_split_clause,[],[f209,f211,f49]) ).
fof(f49,plain,
( spl8_5
<=> c_in(v_xa,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f209,plain,
! [X0] :
( c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| ~ c_lessequals(X0,v_A,sF7)
| ~ c_in(sF5(v_sko__4mP(v_xa,X0,v_r)),v_r,sF4)
| ~ c_in(v_xa,v_A,t_a) ),
inference(forward_demodulation,[],[f208,f25]) ).
fof(f25,plain,
tc_set(t_a) = sF7,
introduced(function_definition,[]) ).
fof(f208,plain,
! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| ~ c_in(sF5(v_sko__4mP(v_xa,X0,v_r)),v_r,sF4)
| ~ c_in(v_xa,v_A,t_a) ),
inference(forward_demodulation,[],[f198,f20]) ).
fof(f198,plain,
! [X0] :
( ~ c_in(v_xa,v_A,t_a)
| ~ c_in(sF5(v_sko__4mP(v_xa,X0,v_r)),v_r,sF4)
| c_in(c_Pair(c_Tarski_Olub(X0,v_cl,t_a),v_xa,t_a,t_a),v_r,sF4)
| ~ c_lessequals(X0,v_A,tc_set(t_a)) ),
inference(superposition,[],[f41,f20]) ).
fof(f41,plain,
! [X6,X7] :
( ~ c_in(c_Pair(v_sko__4mP(X6,X7,v_r),X6,t_a,t_a),v_r,sF4)
| ~ c_in(X6,v_A,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,sF4) ),
inference(forward_demodulation,[],[f40,f18]) ).
fof(f18,plain,
tc_prod(t_a,t_a) = sF4,
introduced(function_definition,[]) ).
fof(f40,plain,
! [X6,X7] :
( ~ c_in(X6,v_A,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mP(X6,X7,v_r),X6,t_a,t_a),v_r,sF4) ),
inference(forward_demodulation,[],[f10,f18]) ).
fof(f10,axiom,
! [X6,X7] :
( ~ c_in(c_Pair(v_sko__4mP(X6,X7,v_r),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X6,v_A,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a))
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f129,plain,
( ~ spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f119,f28,f57]) ).
fof(f28,plain,
( spl8_1
<=> c_in(sF2,sF3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f119,plain,
( ~ c_in(sF2,v_r,sF4)
| spl8_1 ),
inference(forward_demodulation,[],[f30,f53]) ).
fof(f30,plain,
( ~ c_in(sF2,sF3,sF4)
| spl8_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f128,plain,
( spl8_6
| ~ spl8_9
| spl8_14
| ~ spl8_12 ),
inference(avatar_split_clause,[],[f123,f107,f125,f83,f57]) ).
fof(f107,plain,
( spl8_12
<=> ! [X0] :
( c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)
| ~ c_lessequals(X0,v_A,sF7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_12])]) ).
fof(f123,plain,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_lessequals(v_S,v_A,sF7)
| c_in(sF2,v_r,sF4)
| ~ spl8_12 ),
inference(forward_demodulation,[],[f122,f67]) ).
fof(f122,plain,
( c_in(sF5(sF1),v_r,sF4)
| ~ c_lessequals(v_S,v_A,sF7)
| c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ spl8_12 ),
inference(superposition,[],[f108,f15]) ).
fof(f108,plain,
( ! [X0] :
( c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)
| ~ c_lessequals(X0,v_A,sF7) )
| ~ spl8_12 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f117,plain,
( spl8_2
| ~ spl8_10 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl8_2
| ~ spl8_10 ),
inference(resolution,[],[f93,f66]) ).
fof(f66,plain,
( ~ c_in(sF6,v_r,sF4)
| spl8_2 ),
inference(forward_demodulation,[],[f34,f53]) ).
fof(f34,plain,
( ~ c_in(sF6,sF3,sF4)
| spl8_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl8_2
<=> c_in(sF6,sF3,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f93,plain,
( c_in(sF6,v_r,sF4)
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl8_10
<=> c_in(sF6,v_r,sF4) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f109,plain,
( ~ spl8_5
| spl8_12 ),
inference(avatar_split_clause,[],[f105,f107,f49]) ).
fof(f105,plain,
! [X0] :
( c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4)
| ~ c_lessequals(X0,v_A,sF7)
| c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)
| ~ c_in(v_xa,v_A,t_a) ),
inference(forward_demodulation,[],[f104,f25]) ).
fof(f104,plain,
! [X0] :
( ~ c_lessequals(X0,v_A,tc_set(t_a))
| c_in(v_sko__4mP(v_xa,X0,v_r),X0,t_a)
| ~ c_in(v_xa,v_A,t_a)
| c_in(sF5(c_Tarski_Olub(X0,v_cl,t_a)),v_r,sF4) ),
inference(superposition,[],[f54,f20]) ).
fof(f54,plain,
! [X6,X7] :
( c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,sF4)
| c_in(v_sko__4mP(X6,X7,v_r),X7,t_a)
| ~ c_in(X6,v_A,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a)) ),
inference(forward_demodulation,[],[f9,f18]) ).
fof(f9,axiom,
! [X6,X7] :
( ~ c_lessequals(X7,v_A,tc_set(t_a))
| c_in(v_sko__4mP(X6,X7,v_r),X7,t_a)
| c_in(c_Pair(c_Tarski_Olub(X7,v_cl,t_a),X6,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X6,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f94,plain,
( spl8_10
| ~ spl8_4
| ~ spl8_8 ),
inference(avatar_split_clause,[],[f89,f80,f45,f91]) ).
fof(f45,plain,
( spl8_4
<=> c_in(v_xa,v_S,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f80,plain,
( spl8_8
<=> ! [X0] :
( c_in(c_Pair(X0,sF1,t_a,t_a),v_r,sF4)
| ~ c_in(X0,v_S,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f89,plain,
( ~ c_in(v_xa,v_S,t_a)
| c_in(sF6,v_r,sF4)
| ~ spl8_8 ),
inference(superposition,[],[f81,f21]) ).
fof(f21,plain,
c_Pair(v_xa,sF1,t_a,t_a) = sF6,
introduced(function_definition,[]) ).
fof(f81,plain,
( ! [X0] :
( c_in(c_Pair(X0,sF1,t_a,t_a),v_r,sF4)
| ~ c_in(X0,v_S,t_a) )
| ~ spl8_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f88,plain,
spl8_9,
inference(avatar_contradiction_clause,[],[f87]) ).
fof(f87,plain,
( $false
| spl8_9 ),
inference(resolution,[],[f85,f26]) ).
fof(f26,plain,
c_lessequals(v_S,v_A,sF7),
inference(definition_folding,[],[f1,f25]) ).
fof(f1,axiom,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f85,plain,
( ~ c_lessequals(v_S,v_A,sF7)
| spl8_9 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,plain,
( spl8_8
| ~ spl8_9 ),
inference(avatar_split_clause,[],[f78,f83,f80]) ).
fof(f78,plain,
! [X0] :
( ~ c_lessequals(v_S,v_A,sF7)
| c_in(c_Pair(X0,sF1,t_a,t_a),v_r,sF4)
| ~ c_in(X0,v_S,t_a) ),
inference(forward_demodulation,[],[f77,f25]) ).
fof(f77,plain,
! [X0] :
( ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(X0,v_S,t_a)
| c_in(c_Pair(X0,sF1,t_a,t_a),v_r,sF4) ),
inference(forward_demodulation,[],[f74,f18]) ).
fof(f74,plain,
! [X0] :
( c_in(c_Pair(X0,sF1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(superposition,[],[f11,f15]) ).
fof(f11,axiom,
! [X8,X7] :
( c_in(c_Pair(X8,c_Tarski_Olub(X7,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X8,X7,t_a)
| ~ c_lessequals(X7,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f72,plain,
( spl8_5
| ~ spl8_4 ),
inference(avatar_split_clause,[],[f71,f45,f49]) ).
fof(f71,plain,
( c_in(v_xa,v_A,t_a)
| ~ spl8_4 ),
inference(resolution,[],[f70,f26]) ).
fof(f70,plain,
( ! [X0] :
( ~ c_lessequals(v_S,X0,sF7)
| c_in(v_xa,X0,t_a) )
| ~ spl8_4 ),
inference(resolution,[],[f69,f47]) ).
fof(f47,plain,
( c_in(v_xa,v_S,t_a)
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ c_in(X2,X0,t_a)
| c_in(X2,X1,t_a)
| ~ c_lessequals(X0,X1,sF7) ),
inference(superposition,[],[f7,f25]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( ~ c_lessequals(X3,X5,tc_set(X4))
| c_in(X2,X5,X4)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f65,plain,
( spl8_7
| spl8_4 ),
inference(avatar_split_clause,[],[f61,f45,f63]) ).
fof(f61,plain,
! [X1] :
( c_in(v_xa,v_S,t_a)
| c_in(sF5(X1),v_r,sF4)
| ~ c_in(X1,v_S,t_a) ),
inference(forward_demodulation,[],[f24,f53]) ).
fof(f24,plain,
! [X1] :
( c_in(sF5(X1),sF3,sF4)
| ~ c_in(X1,v_S,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(definition_folding,[],[f6,f18,f17,f20]) ).
fof(f6,axiom,
! [X1] :
( c_in(v_xa,v_S,t_a)
| c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f60,plain,
( spl8_4
| ~ spl8_6 ),
inference(avatar_split_clause,[],[f55,f57,f45]) ).
fof(f55,plain,
( ~ c_in(sF2,v_r,sF4)
| c_in(v_xa,v_S,t_a) ),
inference(forward_demodulation,[],[f19,f53]) ).
fof(f19,plain,
( ~ c_in(sF2,sF3,sF4)
| c_in(v_xa,v_S,t_a) ),
inference(definition_folding,[],[f4,f18,f17,f16,f15]) ).
fof(f4,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f52,plain,
( spl8_4
| spl8_5 ),
inference(avatar_split_clause,[],[f43,f49,f45]) ).
fof(f43,plain,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(forward_demodulation,[],[f14,f42]) ).
fof(f42,plain,
v_A = sF0,
inference(forward_demodulation,[],[f13,f8]) ).
fof(f8,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f13,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = sF0,
introduced(function_definition,[]) ).
fof(f14,plain,
( c_in(v_xa,sF0,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(definition_folding,[],[f3,f13]) ).
fof(f3,axiom,
( c_in(v_xa,v_S,t_a)
| c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f39,plain,
( spl8_3
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f22,f32,f37]) ).
fof(f22,plain,
! [X0] :
( ~ c_in(sF6,sF3,sF4)
| ~ c_in(X0,v_S,t_a)
| c_in(sF5(X0),sF3,sF4) ),
inference(definition_folding,[],[f2,f18,f17,f21,f15,f18,f17,f20]) ).
fof(f2,axiom,
! [X0] :
( c_in(c_Pair(X0,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f35,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f23,f32,f28]) ).
fof(f23,plain,
( ~ c_in(sF6,sF3,sF4)
| ~ c_in(sF2,sF3,sF4) ),
inference(definition_folding,[],[f5,f18,f17,f21,f15,f18,f17,f16,f15]) ).
fof(f5,axiom,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT276-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.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 : Tue Aug 30 01:01:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (16805)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)
% 0.19/0.51 % (16805)First to succeed.
% 0.19/0.51 % (16798)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (16804)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (16805)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (16805)------------------------------
% 0.19/0.52 % (16805)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (16805)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (16805)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (16805)Memory used [KB]: 5628
% 0.19/0.52 % (16805)Time elapsed: 0.119 s
% 0.19/0.52 % (16805)Instructions burned: 6 (million)
% 0.19/0.52 % (16805)------------------------------
% 0.19/0.52 % (16805)------------------------------
% 0.19/0.52 % (16793)Success in time 0.168 s
%------------------------------------------------------------------------------