%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : FLD061-4 : TPTP v9.2.1. Bugfixed v2.1.0.
% 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 : n017.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 04:18:27 PM UTC 2026
% Result : Unsatisfiable 1.20s 1.90s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 19 unt; 0 nHn; 33 RR)
% Number of literals : 61 ( 0 equ; 30 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(sum_10,negated_conjecture,
sum(d,b,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_10) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(less_or_equal_7,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_7) ).
cnf(totality_of_addition,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
cnf(sum_9,negated_conjecture,
sum(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_9) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_is_defined) ).
cnf(transitivity_of_order_relation,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',transitivity_of_order_relation) ).
cnf(less_or_equal_8,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_8) ).
cnf(not_less_or_equal_11,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_11) ).
cnf(c_0_11,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
commutativity_addition ).
cnf(c_0_12,negated_conjecture,
sum(d,b,v),
sum_10 ).
cnf(c_0_13,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
compatibility_of_order_relation_and_addition ).
cnf(c_0_14,negated_conjecture,
sum(b,d,v),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( less_or_equal(X1,v)
| ~ less_or_equal(X2,b)
| ~ sum(X2,d,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
less_or_equal(a,b),
less_or_equal_7 ).
cnf(c_0_17,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_addition ).
cnf(c_0_18,negated_conjecture,
sum(a,c,u),
sum_9 ).
cnf(c_0_19,negated_conjecture,
( less_or_equal(X1,v)
| ~ sum(a,d,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( sum(X1,X2,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_21,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_22,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_23,plain,
( less_or_equal(X1,add(X2,X3))
| ~ less_or_equal(X4,X2)
| ~ defined(X3)
| ~ defined(X2)
| ~ sum(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
sum(c,a,u),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_25,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
transitivity_of_order_relation ).
cnf(c_0_26,negated_conjecture,
less_or_equal(add(d,a),v),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
( less_or_equal(u,add(X1,a))
| ~ less_or_equal(c,X1)
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21])]) ).
cnf(c_0_28,negated_conjecture,
less_or_equal(c,d),
less_or_equal_8 ).
cnf(c_0_29,negated_conjecture,
( less_or_equal(X1,v)
| ~ less_or_equal(X1,add(d,a)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
less_or_equal(u,add(d,a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_22])]) ).
cnf(c_0_31,negated_conjecture,
~ less_or_equal(u,v),
not_less_or_equal_11 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.25 % Problem : FLD061-4 : TPTP v9.2.1. Bugfixed v2.1.0.
% 0.03/0.25 % 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
% 0.12/0.49 % Computer : n017.cluster.edu
% 0.12/0.49 % Model : x86_64 x86_64
% 0.12/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.49 % Memory : 8042.1875MB
% 0.12/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.49 % CPULimit : 300
% 0.12/0.49 % WCLimit : 300
% 0.12/0.49 % DateTime : Mon May 4 17:28:27 EDT 2026
% 0.12/0.49 % CPUTime :
% 0.12/0.50 % start to proof: theBenchmark
% 1.20/1.90 % Version : CSE_E---1.7
% 1.20/1.90 % Problem : theBenchmark.p
% 1.20/1.90 % SZS status Unsatisfiable for theBenchmark.p
% 1.20/1.90 % SZS output start CNFRefutation
% See solution above
% 1.20/1.90 % Total time : 1.380s
%------------------------------------------------------------------------------