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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN183-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.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 May  5 05:36:22 PM UTC 2026

% Result   : Unsatisfiable 1.32s 1.73s
% Output   : CNFRefutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  11 unt;   0 nHn;  21 RR)
%            Number of literals    :   33 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   16 (   8 sgn)

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

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

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

cnf(rule_137,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_137) ).

cnf(rule_244,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_244) ).

cnf(prove_this,negated_conjecture,
    ~ q5(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(rule_324,axiom,
    ( q5(X1,X1)
    | ~ l4(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_324) ).

cnf(rule_277,axiom,
    ( l4(X1)
    | ~ p3(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_277) ).

cnf(c_0_8,axiom,
    ( p1(e,e,e)
    | ~ r0(e)
    | ~ k0(e) ),
    rule_090 ).

cnf(c_0_9,axiom,
    r0(e),
    axiom_13 ).

cnf(c_0_10,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_11,axiom,
    ( n2(X1)
    | ~ p1(X2,X3,X1) ),
    rule_137 ).

cnf(c_0_12,plain,
    p1(e,e,e),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_13,axiom,
    ( p3(X1,X1,X1)
    | ~ n2(X1) ),
    rule_244 ).

cnf(c_0_14,plain,
    n2(e),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ q5(e,e),
    prove_this ).

cnf(c_0_16,axiom,
    ( q5(X1,X1)
    | ~ l4(X1) ),
    rule_324 ).

cnf(c_0_17,axiom,
    ( l4(X1)
    | ~ p3(X2,X3,X1) ),
    rule_277 ).

cnf(c_0_18,plain,
    p3(e,e,e),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    ~ l4(e),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN183-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n004.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Tue May  5 08:19:32 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 1.32/1.73  % Version  : CSE_E---1.7
% 1.32/1.73  % Problem  : theBenchmark.p
% 1.32/1.73  % SZS status Unsatisfiable for theBenchmark.p
% 1.32/1.73  % SZS output start CNFRefutation
% See solution above
% 1.32/1.73  % Total time : 1.373s
%------------------------------------------------------------------------------