%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET820-1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n019.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 05:08:33 PM UTC 2026
% Result : Unsatisfiable 1.65s 1.85s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 11 unt; 7 nHn; 19 RR)
% Number of literals : 47 ( 18 equ; 20 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 55 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplD__dest_0) ).
cnf(cls_Datatype_Oelem__o2s__iff2_0,axiom,
c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Oelem__o2s__iff2_0) ).
cnf(cls_Datatype_Onot__Some__eq__iff1_0,axiom,
( X1 = c_Datatype_Ooption_ONone
| X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Onot__Some__eq__iff1_0) ).
cnf(cls_Set_OComplI_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplI_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_in(v_x(X2),X2,tc_IntDef_Oint)
| ~ c_in(X1,X2,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Datatype_Oelem__o2s__iff1_0,axiom,
( X2 = c_Datatype_Ooption_OSome(X1,X3)
| ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Oelem__o2s__iff1_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(X1,X2,tc_IntDef_Oint)
| ~ v_P(v_x(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Datatype_Ooption_Oinject__iff1_0,axiom,
( X1 = X3
| c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Oinject__iff1_0) ).
cnf(cls_Datatype_Ooption_Odistinct__1__iff1_0,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_P(v_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_10,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
cls_Set_OComplD__dest_0 ).
cnf(c_0_11,axiom,
c_in(X1,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),X2),
cls_Datatype_Oelem__o2s__iff2_0 ).
cnf(c_0_12,plain,
~ c_in(X1,c_uminus(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),tc_set(X2)),X2),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,axiom,
( X1 = c_Datatype_Ooption_ONone
| X1 = c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__iff1__1(X1,X2),X2) ),
cls_Datatype_Onot__Some__eq__iff1_0 ).
cnf(c_0_14,plain,
( X1 = c_Datatype_Ooption_ONone
| ~ c_in(c_Main_Onot__Some__eq__iff1__1(X1,X2),c_uminus(c_Datatype_Oo2s(X1,X2),tc_set(X2)),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
cls_Set_OComplI_0 ).
cnf(c_0_16,negated_conjecture,
( c_in(v_x(X2),X2,tc_IntDef_Oint)
| ~ c_in(X1,X2,tc_IntDef_Oint) ),
cls_conjecture_1 ).
cnf(c_0_17,plain,
( X1 = c_Datatype_Ooption_ONone
| c_in(c_Main_Onot__Some__eq__iff1__1(X1,X2),c_Datatype_Oo2s(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
( X2 = c_Datatype_Ooption_OSome(X1,X3)
| ~ c_in(X1,c_Datatype_Oo2s(X2,X3),X3) ),
cls_Datatype_Oelem__o2s__iff1_0 ).
cnf(c_0_19,negated_conjecture,
( X1 = c_Datatype_Ooption_ONone
| c_in(v_x(c_Datatype_Oo2s(X1,tc_IntDef_Oint)),c_Datatype_Oo2s(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ c_in(X1,X2,tc_IntDef_Oint)
| ~ v_P(v_x(X2)) ),
cls_conjecture_2 ).
cnf(c_0_21,axiom,
( X1 = X3
| c_Datatype_Ooption_OSome(X1,X2) != c_Datatype_Ooption_OSome(X3,X2) ),
cls_Datatype_Ooption_Oinject__iff1_0 ).
cnf(c_0_22,negated_conjecture,
( c_Datatype_Ooption_OSome(v_x(c_Datatype_Oo2s(X1,tc_IntDef_Oint)),tc_IntDef_Oint) = X1
| X1 = c_Datatype_Ooption_ONone ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X1,X2),
cls_Datatype_Ooption_Odistinct__1__iff1_0 ).
cnf(c_0_24,negated_conjecture,
~ v_P(v_x(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,tc_IntDef_Oint),tc_IntDef_Oint))),
inference(spm,[status(thm)],[c_0_20,c_0_11]) ).
cnf(c_0_25,negated_conjecture,
v_x(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,tc_IntDef_Oint),tc_IntDef_Oint)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22])]),c_0_23]) ).
cnf(c_0_26,negated_conjecture,
v_P(v_a),
cls_conjecture_0 ).
cnf(c_0_27,negated_conjecture,
~ v_P(X1),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_26,c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET820-1 : TPTP v9.2.1. Released v3.2.0.
% 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
% 0.14/0.32 % Computer : n019.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 02:36:29 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.65/1.85 % Version : CSE_E---1.7
% 1.65/1.85 % Problem : theBenchmark.p
% 1.65/1.85 % SZS status Unsatisfiable for theBenchmark.p
% 1.65/1.85 % SZS output start CNFRefutation
% See solution above
% 1.65/1.86 % Total time : 1.429s
%------------------------------------------------------------------------------