TSTP Solution File: SYN144-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN144-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 : Fri Sep  1 03:05:30 EDT 2023

% Result   : Unsatisfiable 3.30s 1.17s
% Output   : CNFRefutation 3.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   67 (  11 unt;   3 nHn;  66 RR)
%            Number of literals    :  159 (   0 equ;  96 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   6 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   54 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ~ m5(e,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_50,plain,
    s0(d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_1) ).

cnf(c_56,plain,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_7) ).

cnf(c_62,plain,
    r0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_13) ).

cnf(c_66,plain,
    q0(X0,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(c_69,plain,
    l0(a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(c_77,plain,
    k0(e),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(c_81,plain,
    k0(b),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_32) ).

cnf(c_86,plain,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_37) ).

cnf(c_88,plain,
    ( ~ n0(X0,X1)
    | k1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_001) ).

cnf(c_108,plain,
    ( ~ l0(X0)
    | ~ k0(X1)
    | m1(X0,X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_021) ).

cnf(c_155,plain,
    ( ~ k0(X0)
    | p1(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_068) ).

cnf(c_177,plain,
    ( ~ r0(e)
    | ~ k0(e)
    | p1(e,e,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_090) ).

cnf(c_187,plain,
    ( ~ n0(X0,X1)
    | q1(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_100) ).

cnf(c_204,plain,
    ( ~ s0(d)
    | ~ k0(e)
    | q1(d,d,d) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_117) ).

cnf(c_211,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | ~ s0(d)
    | r1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_124) ).

cnf(c_216,plain,
    ( ~ q1(X0,X1,X1)
    | k2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_129) ).

cnf(c_223,plain,
    ( ~ k1(b)
    | m2(b) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_136) ).

cnf(c_224,plain,
    ( ~ p1(X0,X1,X2)
    | n2(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(c_227,plain,
    ( ~ p1(b,X0,X1)
    | ~ r0(e)
    | ~ r1(b)
    | n2(e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_140) ).

cnf(c_242,plain,
    ( ~ p2(e,X0,X1)
    | ~ k1(X2)
    | p2(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_155) ).

cnf(c_263,plain,
    ( ~ m1(X0,X1,X0)
    | p2(X1,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_176) ).

cnf(c_264,plain,
    ( ~ p1(X0,X0,X0)
    | ~ k0(X1)
    | q2(X0,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_177) ).

cnf(c_321,plain,
    ( ~ p2(X0,e,e)
    | ~ n2(e)
    | m3(X0,e,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_234) ).

cnf(c_331,plain,
    ( ~ n2(X0)
    | p3(X0,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(c_356,plain,
    ( ~ q2(X0,e,X0)
    | ~ m3(a,X0,X0)
    | ~ k2(a,a)
    | ~ m2(b)
    | r3(a,a,e) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_269) ).

cnf(c_375,plain,
    ( ~ r3(X0,X0,X1)
    | ~ p4(X2,X2,X3)
    | p4(X1,X0,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_288) ).

cnf(c_378,plain,
    ( ~ p3(X0,X0,X1)
    | p4(X1,X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_291) ).

cnf(c_390,plain,
    ( ~ p4(X0,X1,X2)
    | ~ r0(X0)
    | m5(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_303) ).

cnf(c_418,plain,
    q0(b,d),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_436,plain,
    ( ~ n2(b)
    | p3(b,b,b) ),
    inference(instantiation,[status(thm)],[c_331]) ).

cnf(c_442,plain,
    ( ~ p1(b,b,b)
    | n2(b) ),
    inference(instantiation,[status(thm)],[c_224]) ).

cnf(c_444,plain,
    ( ~ k0(b)
    | p1(b,b,b) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_468,plain,
    ( ~ p3(b,b,b)
    | p4(b,b,b) ),
    inference(instantiation,[status(thm)],[c_378]) ).

cnf(c_547,plain,
    ( ~ p1(b,b,b)
    | ~ r0(e)
    | ~ r1(b)
    | n2(e) ),
    inference(instantiation,[status(thm)],[c_227]) ).

cnf(c_677,plain,
    ( ~ r1(b)
    | n2(e) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_81,c_62,c_444,c_547]) ).

cnf(c_689,plain,
    ( ~ q0(X1,X0)
    | ~ q1(d,X0,d)
    | r1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_50,c_211]) ).

cnf(c_690,plain,
    ( ~ q1(d,X0,d)
    | ~ q0(X1,X0)
    | r1(X1) ),
    inference(renaming,[status(thm)],[c_689]) ).

cnf(c_735,plain,
    ( ~ p4(X0,X0,X1)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_375]) ).

cnf(c_736,plain,
    ( p4(X0,X1,X1)
    | ~ r3(X1,X1,X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_375]) ).

cnf(c_737,plain,
    ( sP9_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_375]) ).

cnf(c_744,plain,
    ( ~ m3(a,X0,X0)
    | ~ q2(X0,e,X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_356]) ).

cnf(c_745,plain,
    ( ~ k2(a,a)
    | ~ m2(b)
    | r3(a,a,e)
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_805,plain,
    ( ~ k1(X0)
    | ~ sP55_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP55_iProver_split])],[c_242]) ).

cnf(c_806,plain,
    ( p2(X0,X1,X1)
    | ~ p2(e,X0,X1)
    | ~ sP56_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP56_iProver_split])],[c_242]) ).

cnf(c_807,plain,
    ( sP55_iProver_split
    | sP56_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_242]) ).

cnf(c_872,plain,
    ( ~ k1(b)
    | ~ sP55_iProver_split ),
    inference(instantiation,[status(thm)],[c_805]) ).

cnf(c_884,plain,
    ( ~ p4(b,b,b)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_735]) ).

cnf(c_945,plain,
    ( ~ p4(e,X0,a)
    | ~ r0(e)
    | m5(e,a) ),
    inference(instantiation,[status(thm)],[c_390]) ).

cnf(c_957,plain,
    ( ~ n0(d,b)
    | k1(b) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_1023,plain,
    ( ~ q1(d,d,d)
    | ~ q0(X0,d)
    | r1(X0) ),
    inference(instantiation,[status(thm)],[c_690]) ).

cnf(c_1024,plain,
    ( ~ q1(d,d,d)
    | ~ q0(b,d)
    | r1(b) ),
    inference(instantiation,[status(thm)],[c_1023]) ).

cnf(c_1061,plain,
    ( ~ k0(X0)
    | ~ l0(a)
    | m1(a,X0,a) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_1113,plain,
    ( ~ n0(b,a)
    | q1(a,a,a) ),
    inference(instantiation,[status(thm)],[c_187]) ).

cnf(c_1114,plain,
    ( ~ q1(X0,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[c_216]) ).

cnf(c_1188,plain,
    ( ~ m1(X0,e,X0)
    | p2(e,X0,e) ),
    inference(instantiation,[status(thm)],[c_263]) ).

cnf(c_1406,plain,
    ( ~ p4(e,a,a)
    | ~ r0(e)
    | m5(e,a) ),
    inference(instantiation,[status(thm)],[c_945]) ).

cnf(c_1407,plain,
    ( ~ r3(a,a,e)
    | ~ sP10_iProver_split
    | p4(e,a,a) ),
    inference(instantiation,[status(thm)],[c_736]) ).

cnf(c_1470,plain,
    ( ~ q1(a,a,a)
    | k2(a,a) ),
    inference(instantiation,[status(thm)],[c_1114]) ).

cnf(c_1505,plain,
    ( ~ p1(e,e,e)
    | ~ k0(e)
    | q2(e,e,e) ),
    inference(instantiation,[status(thm)],[c_264]) ).

cnf(c_1535,plain,
    ( ~ m1(a,e,a)
    | p2(e,a,e) ),
    inference(instantiation,[status(thm)],[c_1188]) ).

cnf(c_1536,plain,
    ( ~ l0(a)
    | ~ k0(e)
    | m1(a,e,a) ),
    inference(instantiation,[status(thm)],[c_1061]) ).

cnf(c_1708,plain,
    ( ~ p2(e,X0,e)
    | ~ sP56_iProver_split
    | p2(X0,e,e) ),
    inference(instantiation,[status(thm)],[c_806]) ).

cnf(c_2006,plain,
    ( ~ p2(a,e,e)
    | ~ n2(e)
    | m3(a,e,e) ),
    inference(instantiation,[status(thm)],[c_321]) ).

cnf(c_2007,plain,
    ( ~ q2(e,e,e)
    | ~ m3(a,e,e)
    | ~ sP15_iProver_split ),
    inference(instantiation,[status(thm)],[c_744]) ).

cnf(c_2267,plain,
    ( ~ p2(e,a,e)
    | ~ sP56_iProver_split
    | p2(a,e,e) ),
    inference(instantiation,[status(thm)],[c_1708]) ).

cnf(c_2268,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2267,c_2007,c_2006,c_1536,c_1535,c_1505,c_1470,c_1407,c_1406,c_1113,c_1024,c_957,c_745,c_884,c_872,c_807,c_737,c_677,c_177,c_204,c_468,c_444,c_442,c_436,c_223,c_49,c_56,c_418,c_86,c_50,c_62,c_69,c_77,c_81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN144-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 17:40:54 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.30/1.17  % SZS status Started for theBenchmark.p
% 3.30/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.30/1.17  
% 3.30/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.30/1.17  
% 3.30/1.17  ------  iProver source info
% 3.30/1.17  
% 3.30/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.30/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.30/1.17  git: non_committed_changes: false
% 3.30/1.17  git: last_make_outside_of_git: false
% 3.30/1.17  
% 3.30/1.17  ------ Parsing...successful
% 3.30/1.17  
% 3.30/1.17  ------  preprocesses with Option_epr_horn
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  ------ Preprocessing... sf_s  rm: 44 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.30/1.17  
% 3.30/1.17  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 3.30/1.17   gs_s  sp: 104 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.30/1.17  ------ Proving...
% 3.30/1.17  ------ Problem Properties 
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  clauses                                 389
% 3.30/1.17  conjectures                             1
% 3.30/1.17  EPR                                     389
% 3.30/1.17  Horn                                    338
% 3.30/1.17  unary                                   51
% 3.30/1.17  binary                                  157
% 3.30/1.17  lits                                    973
% 3.30/1.17  lits eq                                 0
% 3.30/1.17  fd_pure                                 0
% 3.30/1.17  fd_pseudo                               0
% 3.30/1.17  fd_cond                                 0
% 3.30/1.17  fd_pseudo_cond                          0
% 3.30/1.17  AC symbols                              0
% 3.30/1.17  
% 3.30/1.17  ------ Schedule EPR non Horn non eq is on
% 3.30/1.17  
% 3.30/1.17  ------ no equalities: superposition off 
% 3.30/1.17  
% 3.30/1.17  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  ------ 
% 3.30/1.17  Current options:
% 3.30/1.17  ------ 
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  ------ Proving...
% 3.30/1.17  
% 3.30/1.17  
% 3.30/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 3.30/1.17  
% 3.30/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.30/1.17  
% 3.30/1.18  
%------------------------------------------------------------------------------