%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SET821-1 : 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 : n001.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 1.80s 1.91s
% Output : CNFRefutation 1.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 13 unt; 8 nHn; 22 RR)
% Number of literals : 41 ( 9 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-3 aty)
% Number of variables : 31 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
( c_in(v_c,X1,tc_IntDef_Oint)
| c_in(v_a,X1,tc_IntDef_Oint)
| ~ c_in(v_b,X1,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertCI_1) ).
cnf(cls_Set_OsingletonD__dest_0,axiom,
( X1 = X2
| ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsingletonD__dest_0) ).
cnf(cls_Set_OinsertE_0,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
cnf(clsarity_IntDef__Oint_31,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_IntDef__Oint_31) ).
cnf(cls_conjecture_0,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_9,negated_conjecture,
( c_in(v_c,X1,tc_IntDef_Oint)
| c_in(v_a,X1,tc_IntDef_Oint)
| ~ c_in(v_b,X1,tc_IntDef_Oint) ),
cls_conjecture_2 ).
cnf(c_0_10,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1 ).
cnf(c_0_11,axiom,
( X1 = X2
| ~ c_in(X1,c_insert(X2,c_emptyset,X3),X3) ),
cls_Set_OsingletonD__dest_0 ).
cnf(c_0_12,negated_conjecture,
( c_in(v_a,c_insert(v_b,X1,tc_IntDef_Oint),tc_IntDef_Oint)
| c_in(v_c,c_insert(v_b,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
cls_Set_OinsertE_0 ).
cnf(c_0_14,negated_conjecture,
( v_c = v_b
| c_in(v_a,c_insert(v_b,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
~ c_in(X1,c_emptyset,X2),
cls_Set_OemptyE_0 ).
cnf(c_0_16,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
cls_conjecture_1 ).
cnf(c_0_17,negated_conjecture,
( v_c = v_b
| v_b = v_a ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,axiom,
( ~ class_Orderings_Oorder(X1)
| ~ c_less(X2,X2,X1) ),
cls_Orderings_Oorder__less__irrefl__iff1_0 ).
cnf(c_0_19,negated_conjecture,
( v_b = v_a
| c_less(v_b,v_b,tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
clsarity_IntDef__Oint_31 ).
cnf(c_0_21,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
cls_conjecture_0 ).
cnf(c_0_22,negated_conjecture,
v_b = v_a,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_23,negated_conjecture,
c_less(v_a,v_a,tc_IntDef_Oint),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET821-1 : 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
% 0.16/0.33 % Computer : n001.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 02:37:48 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.80/1.91 % Version : CSE_E---1.7
% 1.80/1.91 % Problem : theBenchmark.p
% 1.80/1.91 % SZS status Unsatisfiable for theBenchmark.p
% 1.80/1.91 % SZS output start CNFRefutation
% See solution above
% 1.80/1.91 % Total time : 1.428s
%------------------------------------------------------------------------------