TSTP Solution File: LAT273-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 : Thu Aug 31 05:57:57 EDT 2023
% Result : Unsatisfiable 0.15s 0.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Thu Aug 24 07:20:56 EDT 2023
% 0.11/0.30 % CPUTime :
% 0.15/0.48 start to proof:theBenchmark
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 % File :CSE---1.6
% 0.15/0.52 % Problem :theBenchmark
% 0.15/0.52 % Transform :cnf
% 0.15/0.52 % Format :tptp:raw
% 0.15/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.52
% 0.15/0.52 % Result :Theorem 0.000000s
% 0.15/0.52 % Output :CNFRefutation 0.000000s
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 %------------------------------------------------------------------------------
% 0.15/0.52 % File : LAT273-2 : TPTP v8.1.2. Released v3.2.0.
% 0.15/0.52 % Domain : Analysis
% 0.15/0.52 % Problem : Problem about Tarski's fixed point theorem
% 0.15/0.52 % Version : [Pau06] axioms : Reduced > Especial.
% 0.15/0.52 % English :
% 0.15/0.52
% 0.15/0.52 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.15/0.52 % Source : [Pau06]
% 0.15/0.52 % Names :
% 0.15/0.52
% 0.15/0.52 % Status : Unsatisfiable
% 0.15/0.52 % Rating : 0.00 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v3.2.0
% 0.15/0.52 % Syntax : Number of clauses : 7 ( 4 unt; 1 nHn; 7 RR)
% 0.15/0.52 % Number of literals : 15 ( 0 equ; 8 neg)
% 0.15/0.52 % Maximal clause size : 4 ( 2 avg)
% 0.15/0.52 % Maximal term depth : 3 ( 1 avg)
% 0.15/0.52 % Number of predicates : 3 ( 3 usr; 0 prp; 3-4 aty)
% 0.15/0.52 % Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% 0.15/0.52 % Number of variables : 12 ( 1 sgn)
% 0.15/0.52 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.15/0.52
% 0.15/0.52 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.15/0.52 % of which only a small selection are required for the refutation.
% 0.15/0.52 % The mission is to find those few axioms, after which a refutation
% 0.15/0.52 % can be quite easily found. This version has only the necessary
% 0.15/0.52 % axioms.
% 0.15/0.52 %------------------------------------------------------------------------------
% 0.15/0.52 cnf(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,axiom,
% 0.15/0.52 ( ~ c_in(V_x,V_S,T_a)
% 0.15/0.52 | ~ c_lessequals(V_S,c_Tarski_Ointerval(V_r,V_a,V_b,T_a),tc_set(T_a))
% 0.15/0.52 | c_in(c_Pair(V_x,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 0.15/0.52
% 0.15/0.52 cnf(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,axiom,
% 0.15/0.52 ( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
% 0.15/0.52 | ~ c_in(V_z,v_A,t_a)
% 0.15/0.52 | c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
% 0.15/0.52 | c_in(v_sko__4mi(V_S,v_r,V_z),V_S,t_a) ) ).
% 0.15/0.52
% 0.15/0.52 cnf(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,axiom,
% 0.15/0.52 ( ~ c_Tarski_OisLub(V_S,v_cl,V_L,t_a)
% 0.15/0.52 | ~ c_in(V_z,v_A,t_a)
% 0.15/0.52 | ~ c_in(c_Pair(v_sko__4mi(V_S,v_r,V_z),V_z,t_a,t_a),v_r,tc_prod(t_a,t_a))
% 0.15/0.52 | c_in(c_Pair(V_L,V_z,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ).
% 0.15/0.52
% 0.15/0.52 cnf(cls_conjecture_1,negated_conjecture,
% 0.15/0.52 c_in(v_b,v_A,t_a) ).
% 0.15/0.52
% 0.15/0.52 cnf(cls_conjecture_2,negated_conjecture,
% 0.15/0.52 c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)) ).
% 0.15/0.52
% 0.15/0.52 cnf(cls_conjecture_4,negated_conjecture,
% 0.15/0.52 c_Tarski_OisLub(v_S,v_cl,v_L,t_a) ).
% 0.15/0.52
% 0.15/0.52 cnf(cls_conjecture_6,negated_conjecture,
% 0.15/0.52 ~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ).
% 0.15/0.52
% 0.15/0.52 %------------------------------------------------------------------------------
% 0.15/0.52 %-------------------------------------------
% 0.15/0.52 % Proof found
% 0.15/0.52 % SZS status Theorem for theBenchmark
% 0.15/0.52 % SZS output start Proof
% 0.15/0.52 %ClaNum:7(EqnAxiom:0)
% 0.15/0.52 %VarNum:32(SingletonVarNum:12)
% 0.15/0.52 %MaxLitNum:4
% 0.15/0.52 %MaxfuncDepth:2
% 0.15/0.52 %SharedTerms:16
% 0.15/0.52 %goalClause: 1 2 3 4
% 0.15/0.52 %singleGoalClaCount:4
% 0.15/0.52 [1]P1(a1,a2,a3)
% 0.15/0.52 [2]P2(a8,a11,a9,a3)
% 0.15/0.52 [3]P3(a8,f4(a12,a10,a1,a3),f6(a3))
% 0.15/0.52 [4]~P1(f5(a9,a1,a3,a3),a12,f7(a3,a3))
% 0.15/0.52 [6]~P1(x61,x65,x63)+P1(f5(x61,x62,x63,x63),x64,f7(x63,x63))+~P3(x65,f4(x64,x66,x62,x63),f6(x63))
% 0.15/0.52 [5]~P2(x51,a11,x53,a3)+~P1(x52,a2,a3)+P1(f13(x51,a12,x52),x51,a3)+P1(f5(x53,x52,a3,a3),a12,f7(a3,a3))
% 0.15/0.52 [7]~P2(x73,a11,x71,a3)+~P1(x72,a2,a3)+P1(f5(x71,x72,a3,a3),a12,f7(a3,a3))+~P1(f5(f13(x73,a12,x72),x72,a3,a3),a12,f7(a3,a3))
% 0.15/0.52 %EqnAxiom
% 0.15/0.52
% 0.15/0.52 %-------------------------------------------
% 0.15/0.53 cnf(9,plain,
% 0.15/0.53 (P1(f13(a8,a12,a1),a8,a3)),
% 0.15/0.53 inference(scs_inference,[],[1,2,3,4,6,5])).
% 0.15/0.53 cnf(10,plain,
% 0.15/0.53 (~P1(f5(f13(a8,a12,a1),a1,a3,a3),a12,f7(a3,a3))),
% 0.15/0.53 inference(scs_inference,[],[1,2,3,4,6,5,7])).
% 0.15/0.53 cnf(11,plain,
% 0.15/0.53 ($false),
% 0.15/0.53 inference(scs_inference,[],[3,10,9,6]),
% 0.15/0.53 ['proof']).
% 0.15/0.53 % SZS output end Proof
% 0.15/0.53 % Total time :0.000000s
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