%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN069-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n026.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 05:36:02 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.73s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 5 unt; 8 nHn; 29 RR)
% Number of literals : 75 ( 0 equ; 42 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_2,axiom,
( big_h(X1,f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_9,negated_conjecture,
( big_h(X1,g(X1))
| ~ big_f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_8,negated_conjecture,
( big_g(g(X1))
| ~ big_f(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_1,axiom,
( big_g(f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_4,axiom,
( ~ big_l(X1)
| ~ big_k(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,axiom,
( big_l(X1)
| ~ big_h(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_5,axiom,
big_f(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_3,axiom,
( big_k(X2)
| ~ big_f(X1)
| ~ big_j(X1,f(X1))
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_7,axiom,
( big_j(a,X1)
| ~ big_g(X1)
| ~ big_h(a,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(c_0_9,axiom,
( big_h(X1,f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
clause_2 ).
cnf(c_0_10,negated_conjecture,
( big_h(X1,g(X1))
| ~ big_f(X1) ),
clause_9 ).
cnf(c_0_11,negated_conjecture,
( big_g(g(X1))
| ~ big_f(X1) ),
clause_8 ).
cnf(c_0_12,axiom,
( big_g(f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
clause_1 ).
cnf(c_0_13,axiom,
( ~ big_l(X1)
| ~ big_k(X1) ),
clause_4 ).
cnf(c_0_14,axiom,
( big_l(X1)
| ~ big_h(a,X1) ),
clause_6 ).
cnf(c_0_15,negated_conjecture,
( big_k(g(X1))
| big_h(X1,f(X1))
| ~ big_f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,axiom,
big_f(a),
clause_5 ).
cnf(c_0_17,negated_conjecture,
( big_k(g(X1))
| big_g(f(X1))
| ~ big_f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_10]),c_0_11]) ).
cnf(c_0_18,plain,
( ~ big_k(X1)
| ~ big_h(a,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( big_k(g(a))
| big_h(a,f(a)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( big_k(g(a))
| big_g(f(a)) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( big_h(a,f(a))
| ~ big_h(a,g(a)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( big_g(f(a))
| ~ big_h(a,g(a)) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_23,axiom,
( big_k(X2)
| ~ big_f(X1)
| ~ big_j(X1,f(X1))
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
clause_3 ).
cnf(c_0_24,axiom,
( big_j(a,X1)
| ~ big_g(X1)
| ~ big_h(a,X1) ),
clause_7 ).
cnf(c_0_25,negated_conjecture,
big_h(a,f(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_16])]) ).
cnf(c_0_26,negated_conjecture,
big_g(f(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_10]),c_0_16])]) ).
cnf(c_0_27,plain,
( ~ big_h(a,X1)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_16])]),c_0_25]),c_0_26])]),c_0_18]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN069-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.13 % 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
% 0.17/0.34 % Computer : n026.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 08:10:53 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.26/1.73 % Version : CSE_E---1.7
% 1.26/1.73 % Problem : theBenchmark.p
% 1.26/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.73 % SZS output start CNFRefutation
% See solution above
% 1.26/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------