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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN148-1 : TPTP v9.2.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n027.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 05:36:16 PM UTC 2026

% Result   : Unsatisfiable 1.43s 1.75s
% Output   : CNFRefutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  14 unt;   0 nHn;  16 RR)
%            Number of literals    :   39 (   0 equ;  19 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   22 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_050,axiom,
    ( n1(X1,X2,X1)
    | ~ s0(b)
    | ~ l0(X1)
    | ~ p0(b,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_050) ).

cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(axiom_24,axiom,
    l0(c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_24) ).

cnf(rule_054,axiom,
    ( n1(X1,X2,X2)
    | ~ l0(X3)
    | ~ l1(X3,X1)
    | ~ n1(X1,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_054) ).

cnf(rule_002,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_002) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

cnf(prove_this,negated_conjecture,
    ~ n1(c,d,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_8,axiom,
    ( n1(X1,X2,X1)
    | ~ s0(b)
    | ~ l0(X1)
    | ~ p0(b,X2) ),
    rule_050 ).

cnf(c_0_9,axiom,
    s0(b),
    axiom_5 ).

cnf(c_0_10,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_11,plain,
    ( n1(X1,X2,X1)
    | ~ l0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,axiom,
    l0(c),
    axiom_24 ).

cnf(c_0_13,axiom,
    ( n1(X1,X2,X2)
    | ~ l0(X3)
    | ~ l1(X3,X1)
    | ~ n1(X1,X2,X1) ),
    rule_054 ).

cnf(c_0_14,plain,
    n1(c,X1,c),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,axiom,
    ( l1(X1,X1)
    | ~ n0(X2,X1) ),
    rule_002 ).

cnf(c_0_16,axiom,
    n0(d,c),
    axiom_26 ).

cnf(c_0_17,plain,
    ( n1(c,X1,X1)
    | ~ l1(X2,c)
    | ~ l0(X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    l1(c,c),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ n1(c,d,d),
    prove_this ).

cnf(c_0_20,plain,
    n1(c,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12])]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN148-1 : TPTP v9.2.1. Released v1.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue May  5 08:16:04 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.43/1.75  % Version  : CSE_E---1.7
% 1.43/1.75  % Problem  : theBenchmark.p
% 1.43/1.75  % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.75  % SZS output start CNFRefutation
% See solution above
% 1.43/1.75  % Total time : 1.374s
%------------------------------------------------------------------------------