%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV254-1 : 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 : n012.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 05:21:13 PM UTC 2026
% Result : Unsatisfiable 4.61s 3.30s
% Output : CNFRefutation 4.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 9 RR)
% Number of literals : 24 ( 6 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 21 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Nat_Ozero__less__diff_1,axiom,
( c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat)
| ~ c_less(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Ozero__less__diff_1) ).
cnf(cls_Nat_Odiff__is__0__eq_H_0,axiom,
( c_minus(X1,X2,tc_nat) = c_0
| ~ c_lessequals(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Odiff__is__0__eq_H_0) ).
cnf(cls_Nat_Onot__gr0_1,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Nat_Onot__gr0_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(X1,v_x(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_x(X1) = v_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Nat_OlessI_0,axiom,
c_less(X1,c_Suc(X1),tc_nat),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Nat_OlessI_0) ).
cnf(cls_SetInterval_Ocard__atMost_0,axiom,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_Ocard__atMost_0) ).
cnf(c_0_7,axiom,
( c_less(c_0,c_minus(X2,X1,tc_nat),tc_nat)
| ~ c_less(X1,X2,tc_nat) ),
cls_Nat_Ozero__less__diff_1 ).
cnf(c_0_8,axiom,
( c_minus(X1,X2,tc_nat) = c_0
| ~ c_lessequals(X1,X2,tc_nat) ),
cls_Nat_Odiff__is__0__eq_H_0 ).
cnf(c_0_9,axiom,
~ c_less(c_0,c_0,tc_nat),
cls_Nat_Onot__gr0_1 ).
cnf(c_0_10,negated_conjecture,
c_lessequals(X1,v_x(X1),tc_nat),
cls_conjecture_0 ).
cnf(c_0_11,negated_conjecture,
v_x(X1) = v_nat,
cls_conjecture_1 ).
cnf(c_0_12,plain,
( ~ c_less(X1,X2,tc_nat)
| ~ c_lessequals(X2,X1,tc_nat) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).
cnf(c_0_13,negated_conjecture,
c_lessequals(X1,v_nat,tc_nat),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
c_less(X1,c_Suc(X1),tc_nat),
cls_Nat_OlessI_0 ).
cnf(c_0_15,axiom,
c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat) = c_Suc(X1),
cls_SetInterval_Ocard__atMost_0 ).
cnf(c_0_16,negated_conjecture,
~ c_less(v_nat,X1,tc_nat),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
c_less(X1,c_Finite__Set_Ocard(c_SetInterval_OatMost(X1,tc_nat),tc_nat),tc_nat),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_16,c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SWV254-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 04:58:46 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 4.61/3.30 % Version : CSE_E---1.7
% 4.61/3.30 % Problem : theBenchmark.p
% 4.61/3.30 % SZS status Unsatisfiable for theBenchmark.p
% 4.61/3.30 % SZS output start CNFRefutation
% See solution above
% 4.71/3.31 % Total time : 2.421s
%------------------------------------------------------------------------------