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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWX205-1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n013.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 05:34:43 PM UTC 2026

% Result   : Satisfiable 1.27s 1.72s
% Output   : Saturation 1.27s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_002,axiom,
    plus_ninf(X1) = impl(eq(s(X1),X1),eq2(btrue,bfalse)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_002) ).

cnf(axiom_004,axiom,
    eq2(btrue,bfalse) = bfalse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_004) ).

cnf(axiom_007,axiom,
    eq(s(X1),z) = bfalse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_007) ).

cnf(axiom_001,axiom,
    impl(bfalse,X1) = btrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_001) ).

cnf(goal,negated_conjecture,
    eq2(plus_ninf(X1),bfalse) != btrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(axiom_005,axiom,
    eq(s(X1),s(X2)) = eq(X1,X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_005) ).

cnf(axiom_006,axiom,
    eq(z,s(X1)) = bfalse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).

cnf(axiom_003,axiom,
    eq2(bfalse,btrue) = bfalse,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_003) ).

cnf(axiom,axiom,
    impl(btrue,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom) ).

cnf(axiom_009,axiom,
    eq2(X1,X1) = btrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_009) ).

cnf(axiom_008,axiom,
    eq(X1,X1) = btrue,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).

cnf(c_0_11,axiom,
    plus_ninf(X1) = impl(eq(s(X1),X1),eq2(btrue,bfalse)),
    axiom_002 ).

cnf(c_0_12,axiom,
    eq2(btrue,bfalse) = bfalse,
    axiom_004,
    [final] ).

cnf(c_0_13,plain,
    impl(eq(s(X1),X1),bfalse) = plus_ninf(X1),
    inference(rw,[status(thm)],[c_0_11,c_0_12]),
    [final] ).

cnf(c_0_14,axiom,
    eq(s(X1),z) = bfalse,
    axiom_007,
    [final] ).

cnf(c_0_15,axiom,
    impl(bfalse,X1) = btrue,
    axiom_001,
    [final] ).

cnf(c_0_16,negated_conjecture,
    eq2(plus_ninf(X1),bfalse) != btrue,
    goal,
    [final] ).

cnf(c_0_17,plain,
    plus_ninf(z) = btrue,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [final] ).

cnf(c_0_18,axiom,
    eq(s(X1),s(X2)) = eq(X1,X2),
    axiom_005,
    [final] ).

cnf(c_0_19,negated_conjecture,
    btrue != bfalse,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_12]),
    [final] ).

cnf(c_0_20,plain,
    plus_ninf(s(X1)) = plus_ninf(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_13]),
    [final] ).

cnf(c_0_21,axiom,
    eq(z,s(X1)) = bfalse,
    axiom_006,
    [final] ).

cnf(c_0_22,axiom,
    eq2(bfalse,btrue) = bfalse,
    axiom_003,
    [final] ).

cnf(c_0_23,axiom,
    impl(btrue,X1) = X1,
    axiom,
    [final] ).

cnf(c_0_24,axiom,
    eq2(X1,X1) = btrue,
    axiom_009,
    [final] ).

cnf(c_0_25,axiom,
    eq(X1,X1) = btrue,
    axiom_008,
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWX205-1 : TPTP v9.3.0. Released v9.3.0.
% 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
% 0.17/0.33  % Computer : n013.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Tue May  5 07:56:11 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.35  % start to proof: theBenchmark
% 1.27/1.72  % Version  : CSE_E---1.7
% 1.27/1.72  % Problem  : theBenchmark.p
% 1.27/1.72  % SZS status Satisfiable for theBenchmark.p
% 1.27/1.72  % SZS output start Saturation
% See solution above
% 1.27/1.72  % Total time : 1.374s
%------------------------------------------------------------------------------