TSTP Solution File: LAT273-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Tue Apr 30 13:21:29 EDT 2024
% Result : Unsatisfiable 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 7 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 92 ( 47 ~; 41 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f24,f28,f40]) ).
fof(f40,plain,
( ~ spl1_2
| ~ spl1_3 ),
inference(avatar_contradiction_clause,[],[f39]) ).
fof(f39,plain,
( $false
| ~ spl1_2
| ~ spl1_3 ),
inference(resolution,[],[f34,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(f34,plain,
( ~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a)
| ~ spl1_2
| ~ spl1_3 ),
inference(resolution,[],[f33,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(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(X0,X1,X2)
| sP0(X5,X3,X2,X1) ),
inference(cnf_transformation,[],[f8_D]) ).
fof(f8_D,plain,
! [X1,X2,X3,X5] :
( ! [X0] :
( c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(X0,X1,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_in(X0,X1,X2)
| ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(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(f33,plain,
( ! [X0] :
( sP0(v_b,v_r,t_a,X0)
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
| ~ spl1_2
| ~ spl1_3 ),
inference(duplicate_literal_removal,[],[f32]) ).
fof(f32,plain,
( ! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| sP0(v_b,v_r,t_a,X0)
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
| ~ spl1_2
| ~ spl1_3 ),
inference(resolution,[],[f31,f20]) ).
fof(f20,plain,
( ! [X0] :
( c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl1_2
<=> ! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f31,plain,
( ! [X0,X1] :
( ~ c_in(v_sko__4mi(X0,v_r,v_b),X1,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| sP0(v_b,v_r,t_a,X1) )
| ~ spl1_3 ),
inference(resolution,[],[f27,f8]) ).
fof(f27,plain,
( ! [X0] :
( ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl1_3
<=> ! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f28,plain,
( ~ spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f22,f26,f15]) ).
fof(f15,plain,
( spl1_1
<=> c_in(v_b,v_A,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f22,plain,
! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| ~ c_in(v_b,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,v_b),v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[],[f3,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(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(X7,v_A,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)) ),
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) ).
fof(f24,plain,
spl1_1,
inference(avatar_contradiction_clause,[],[f23]) ).
fof(f23,plain,
( $false
| spl1_1 ),
inference(resolution,[],[f17,f4]) ).
fof(f4,axiom,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f17,plain,
( ~ c_in(v_b,v_A,t_a)
| spl1_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f21,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f13,f19,f15]) ).
fof(f13,plain,
! [X0] :
( ~ c_Tarski_OisLub(X0,v_cl,v_L,t_a)
| c_in(v_sko__4mi(X0,v_r,v_b),X0,t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[],[f2,f7]) ).
fof(f2,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(v_sko__4mi(X1,v_r,X7),X1,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 21:32:41 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (10302)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (10309)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (10305)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 % (10303)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37 % (10305)First to succeed.
% 0.12/0.37 % (10308)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.37 % (10308)Also succeeded, but the first one will report.
% 0.12/0.37 TRYING [4]
% 0.12/0.37 % (10305)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (10305)------------------------------
% 0.12/0.37 % (10305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.12/0.37 % (10305)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (10305)Memory used [KB]: 769
% 0.12/0.37 % (10305)Time elapsed: 0.027 s
% 0.12/0.37 % (10305)Instructions burned: 4 (million)
% 0.12/0.37 % (10305)------------------------------
% 0.12/0.37 % (10305)------------------------------
% 0.12/0.37 % (10302)Success in time 0.041 s
%------------------------------------------------------------------------------