%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUM420-1.000 : TPTP v9.2.1. Released v4.0.0.
% 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 : n024.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 04:57:16 PM UTC 2026
% Result : Unsatisfiable 1.10s 1.62s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 22 unt; 5 nHn; 24 RR)
% Number of literals : 63 ( 35 equ; 30 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_34,negated_conjecture,
( less(n0,p__0)
| ~ less(plus(n0,n1),p__0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
cnf(axiom_8,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
cnf(clause_44,negated_conjecture,
( less(n1,X1)
| X1 != p__0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44) ).
cnf(clause_24,negated_conjecture,
( ~ less(n0,X1)
| ~ less(n0,p__0)
| ~ less(X1,p__0)
| plus(X1,times(X2,p__0)) != plus(n0,times(X3,p__0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
cnf(axiom_30,axiom,
less(n0,plus(X1,n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
cnf(clause_18,negated_conjecture,
( p__0 = plus(s_7(p__0),n1)
| ~ less(n0,p__0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
cnf(axiom_6,axiom,
plus(X1,X2) = plus(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(axiom_20,axiom,
times(n1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
cnf(axiom_14,axiom,
plus(n1,plus(X1,n1)) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
cnf(axiom_15,axiom,
times(X1,X2) = times(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).
cnf(clause_48,negated_conjecture,
( X1 = n1
| times(s_1(X1),s_4(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_48) ).
cnf(clause_53,negated_conjecture,
( X1 = n1
| s_1(X1) = p__0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_53) ).
cnf(c_0_12,negated_conjecture,
( less(n0,p__0)
| ~ less(plus(n0,n1),p__0) ),
clause_34 ).
cnf(c_0_13,axiom,
plus(n0,X1) = X1,
axiom_8 ).
cnf(c_0_14,negated_conjecture,
( less(n1,X1)
| X1 != p__0 ),
clause_44 ).
cnf(c_0_15,negated_conjecture,
( ~ less(n0,X1)
| ~ less(n0,p__0)
| ~ less(X1,p__0)
| plus(X1,times(X2,p__0)) != plus(n0,times(X3,p__0)) ),
clause_24 ).
cnf(c_0_16,negated_conjecture,
( less(n0,p__0)
| ~ less(n1,p__0) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
less(n1,p__0),
inference(er,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( plus(X1,times(X2,p__0)) != times(X3,p__0)
| ~ less(n0,p__0)
| ~ less(X1,p__0)
| ~ less(n0,X1) ),
inference(rw,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
less(n0,p__0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).
cnf(c_0_20,axiom,
less(n0,plus(X1,n1)),
axiom_30 ).
cnf(c_0_21,negated_conjecture,
( plus(X1,times(X2,p__0)) != times(X3,p__0)
| ~ less(X1,p__0)
| ~ less(n0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
cnf(c_0_22,plain,
less(n0,n1),
inference(spm,[status(thm)],[c_0_20,c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( p__0 = plus(s_7(p__0),n1)
| ~ less(n0,p__0) ),
clause_18 ).
cnf(c_0_24,axiom,
plus(X1,X2) = plus(X2,X1),
axiom_6 ).
cnf(c_0_25,negated_conjecture,
plus(n1,times(X1,p__0)) != times(X2,p__0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_22])]) ).
cnf(c_0_26,axiom,
times(n1,X1) = X1,
axiom_20 ).
cnf(c_0_27,axiom,
plus(n1,plus(X1,n1)) != n1,
axiom_14 ).
cnf(c_0_28,negated_conjecture,
( plus(n1,s_7(p__0)) = p__0
| ~ less(n0,p__0) ),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
times(X1,p__0) != plus(n1,p__0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,axiom,
times(X1,X2) = times(X2,X1),
axiom_15 ).
cnf(c_0_31,negated_conjecture,
( X1 = n1
| times(s_1(X1),s_4(X1)) = X1 ),
clause_48 ).
cnf(c_0_32,negated_conjecture,
( X1 = n1
| s_1(X1) = p__0 ),
clause_53 ).
cnf(c_0_33,plain,
plus(n1,plus(n1,X1)) != n1,
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
plus(n1,s_7(p__0)) = p__0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_19])]) ).
cnf(c_0_35,negated_conjecture,
times(p__0,X1) != plus(n1,p__0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
( times(p__0,s_4(X1)) = X1
| X1 = n1 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
plus(n1,p__0) != n1,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36])]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : NUM420-1.000 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n024.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 : Mon May 4 19:31:56 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.10/1.62 % Version : CSE_E---1.7
% 1.10/1.62 % Problem : theBenchmark.p
% 1.10/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 1.10/1.62 % SZS output start CNFRefutation
% See solution above
% 1.10/1.62 % Total time : 1.362s
%------------------------------------------------------------------------------