TSTP Solution File: COM011-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : COM011-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 30 18:42:02 EDT 2023

% Result   : Unsatisfiable 73.59s 10.82s
% Output   : CNFRefutation 73.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   25 (   8 unt;   2 nHn;  19 RR)
%            Number of literals    :   48 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   46 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_57,plain,
    ( ~ c_in(X0,c_UNITY_Oconstrains(X1,X2,X3),tc_UNITY_Oprogram(X3))
    | ~ c_lessequals(X4,X1,tc_set(X3))
    | c_in(X0,c_UNITY_Oconstrains(X4,X2,X3),tc_UNITY_Oprogram(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNITY_Oconstrains__weaken__L_0) ).

cnf(c_60,plain,
    ( ~ c_in(X0,c_UNITY_Oconstrains(c_minus(X1,X2,tc_set(X3)),c_union(X1,X2,X3),X3),tc_UNITY_Oprogram(X3))
    | ~ c_in(X0,c_WFair_Otransient(c_minus(X1,X2,tc_set(X3)),X3),tc_UNITY_Oprogram(X3))
    | c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OensuresI_0) ).

cnf(c_61,plain,
    ( ~ c_in(X0,c_WFair_Oensures(X1,X2,X3),tc_UNITY_Oprogram(X3))
    | c_in(X0,c_WFair_OleadsTo(X1,X2,X3),tc_UNITY_Oprogram(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_OleadsTo__Basis_0) ).

cnf(c_62,plain,
    ( ~ c_in(X0,c_WFair_Otransient(X1,X2),tc_UNITY_Oprogram(X2))
    | ~ c_lessequals(X3,X1,tc_set(X2))
    | c_in(X0,c_WFair_Otransient(X3,X2),tc_UNITY_Oprogram(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WFair_Otransient__strengthen_0) ).

cnf(c_63,negated_conjecture,
    c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_64,negated_conjecture,
    c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_65,negated_conjecture,
    ~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(c_174,plain,
    ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).

cnf(c_175,plain,
    ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
    | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).

cnf(c_177,plain,
    c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__refl_0) ).

cnf(c_1382,plain,
    ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
    | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_1) ).

cnf(c_173990,plain,
    ( c_in(c_Main_OsubsetI__1(c_minus(X0,X1,tc_set(X2)),X3,X2),X0,X2)
    | c_lessequals(c_minus(X0,X1,tc_set(X2)),X3,tc_set(X2)) ),
    inference(superposition,[status(thm)],[c_174,c_1382]) ).

cnf(c_174095,plain,
    c_lessequals(c_minus(X0,X1,tc_set(X2)),X0,tc_set(X2)),
    inference(superposition,[status(thm)],[c_173990,c_175]) ).

cnf(c_181251,plain,
    ( ~ c_lessequals(X0,v_A,tc_set(t_a))
    | c_in(v_F,c_WFair_Otransient(X0,t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_64,c_62]) ).

cnf(c_181405,plain,
    ( ~ c_lessequals(X0,X1,tc_set(t_a))
    | ~ c_lessequals(X1,v_A,tc_set(t_a))
    | c_in(v_F,c_WFair_Otransient(X0,t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_181251,c_62]) ).

cnf(c_181442,plain,
    ( ~ c_lessequals(X0,v_A,tc_set(t_a))
    | c_in(v_F,c_WFair_Otransient(c_minus(X0,X1,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_174095,c_181405]) ).

cnf(c_182828,plain,
    ( ~ c_lessequals(X0,v_A,tc_set(t_a))
    | c_in(v_F,c_UNITY_Oconstrains(X0,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_63,c_57]) ).

cnf(c_182977,plain,
    ( ~ c_lessequals(X0,X1,tc_set(t_a))
    | ~ c_lessequals(X1,v_A,tc_set(t_a))
    | c_in(v_F,c_UNITY_Oconstrains(X0,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_182828,c_57]) ).

cnf(c_183020,plain,
    ( ~ c_lessequals(X0,v_A,tc_set(t_a))
    | c_in(v_F,c_UNITY_Oconstrains(c_minus(X0,X1,tc_set(t_a)),c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_174095,c_182977]) ).

cnf(c_187764,plain,
    ( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
    | ~ c_lessequals(v_A,v_A,tc_set(t_a))
    | c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_183020,c_60]) ).

cnf(c_187771,plain,
    ( ~ c_in(v_F,c_WFair_Otransient(c_minus(v_A,v_B,tc_set(t_a)),t_a),tc_UNITY_Oprogram(t_a))
    | c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_187764,c_177]) ).

cnf(c_244096,plain,
    ( ~ c_lessequals(v_A,v_A,tc_set(t_a))
    | c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)) ),
    inference(superposition,[status(thm)],[c_181442,c_187771]) ).

cnf(c_244097,plain,
    c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
    inference(forward_subsumption_resolution,[status(thm)],[c_244096,c_177]) ).

cnf(c_244098,plain,
    c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
    inference(superposition,[status(thm)],[c_244097,c_61]) ).

cnf(c_244099,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_244098,c_65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : COM011-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n023.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 29 13:41:25 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 73.59/10.82  % SZS status Started for theBenchmark.p
% 73.59/10.82  % SZS status Unsatisfiable for theBenchmark.p
% 73.59/10.82  
% 73.59/10.82  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 73.59/10.82  
% 73.59/10.82  ------  iProver source info
% 73.59/10.82  
% 73.59/10.82  git: date: 2023-05-31 18:12:56 +0000
% 73.59/10.82  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 73.59/10.82  git: non_committed_changes: false
% 73.59/10.82  git: last_make_outside_of_git: false
% 73.59/10.82  
% 73.59/10.82  ------ Parsing...successful
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  ------ Preprocessing... sup_sim: 1  sf_s  rm: 823 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e  sup_sim: 0  sf_s  rm: 69 0s  sf_e  pe_s  pe_e 
% 73.59/10.82  
% 73.59/10.82  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 73.59/10.82  
% 73.59/10.82  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 73.59/10.82  ------ Proving...
% 73.59/10.82  ------ Problem Properties 
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  clauses                                 310
% 73.59/10.82  conjectures                             3
% 73.59/10.82  EPR                                     26
% 73.59/10.82  Horn                                    283
% 73.59/10.82  unary                                   84
% 73.59/10.82  binary                                  176
% 73.59/10.82  lits                                    586
% 73.59/10.82  lits eq                                 166
% 73.59/10.82  fd_pure                                 0
% 73.59/10.82  fd_pseudo                               0
% 73.59/10.82  fd_cond                                 23
% 73.59/10.82  fd_pseudo_cond                          40
% 73.59/10.82  AC symbols                              0
% 73.59/10.82  
% 73.59/10.82  ------ Schedule dynamic 5 is on 
% 73.59/10.82  
% 73.59/10.82  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  ------ 
% 73.59/10.82  Current options:
% 73.59/10.82  ------ 
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  ------ Proving...
% 73.59/10.82  
% 73.59/10.82  
% 73.59/10.82  % SZS status Unsatisfiable for theBenchmark.p
% 73.59/10.82  
% 73.59/10.82  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 73.59/10.82  
% 73.59/10.82  
%------------------------------------------------------------------------------