TSTP Solution File: LAT273-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LAT273-2 : 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 : n022.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 17:36:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 45 ( 22 ~; 22 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(subsumption_resolution,[],[f50,f6]) ).
fof(f6,axiom,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f50,plain,
~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(resolution,[],[f49,f7]) ).
fof(f7,axiom,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f49,plain,
! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a) ),
inference(subsumption_resolution,[],[f48,f4]) ).
fof(f4,axiom,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f48,plain,
! [X0] :
( ~ c_in(v_b,v_A,t_a)
| c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a) ),
inference(subsumption_resolution,[],[f36,f10]) ).
fof(f10,plain,
~ sP0(v_b,v_r,t_a,v_S),
inference(resolution,[],[f9,f5]) ).
fof(f5,axiom,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f9,plain,
! [X2,X3,X1,X4,X5] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ sP0(X5,X3,X2,X1) ),
inference(general_splitting,[],[f1,f8_D]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X5] :
( ~ c_in(X0,X1,X2)
| c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
| sP0(X5,X3,X2,X1) ),
inference(cnf_transformation,[],[f8_D]) ).
fof(f8_D,plain,
! [X1,X2,X3,X5] :
( ! [X0] :
( ~ c_in(X0,X1,X2)
| c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)) )
<=> ~ sP0(X5,X3,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f36,plain,
! [X0] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a)
| sP0(v_b,v_r,t_a,v_S)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[],[f3,f29]) ).
fof(f29,plain,
! [X0,X1] :
( c_in(c_Pair(v_sko__4mi(v_S,v_r,v_b),X0,t_a,t_a),X1,tc_prod(t_a,t_a))
| sP0(X0,X1,t_a,v_S) ),
inference(resolution,[],[f28,f8]) ).
fof(f28,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(subsumption_resolution,[],[f26,f4]) ).
fof(f26,plain,
( ~ c_in(v_b,v_A,t_a)
| c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(resolution,[],[f21,f7]) ).
fof(f21,plain,
! [X0] :
( c_in(c_Pair(v_L,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(resolution,[],[f2,f6]) ).
fof(f2,axiom,
! [X1,X6,X7] :
( c_in(v_sko__4mi(X1,v_r,X7),X1,t_a)
| ~ c_Tarski_OisLub(X1,v_cl,X6,t_a)
| c_in(c_Pair(X6,X7,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X7,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f3,axiom,
! [X1,X6,X7] :
( c_in(c_Pair(X6,X7,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X1,v_cl,X6,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X1,v_r,X7),X7,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X7,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT273-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % 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 : n022.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 00:59:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (24682)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)
% 0.20/0.50 % (24674)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (24682)First to succeed.
% 0.20/0.50 % (24690)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.50 % (24673)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (24682)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (24682)------------------------------
% 0.20/0.51 % (24682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24682)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (24682)Memory used [KB]: 5373
% 0.20/0.51 % (24682)Time elapsed: 0.112 s
% 0.20/0.51 % (24682)Instructions burned: 3 (million)
% 0.20/0.51 % (24682)------------------------------
% 0.20/0.51 % (24682)------------------------------
% 0.20/0.51 % (24665)Success in time 0.162 s
%------------------------------------------------------------------------------