%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN082-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : n010.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 05:36:06 PM UTC 2026
% Result : Unsatisfiable 0.23s 1.61s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 3 unt; 8 nHn; 22 RR)
% Number of literals : 59 ( 0 equ; 34 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_6,negated_conjecture,
( big_f(X2,f(a))
| ~ big_f(g(X1),X1)
| ~ big_f(a,X1)
| ~ big_f(X2,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_3,negated_conjecture,
( big_f(g(X1),X1)
| big_f(X2,f(a))
| ~ big_f(a,X1)
| ~ big_f(X2,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_8,negated_conjecture,
( ~ big_f(g(X1),X1)
| ~ big_f(a,X1)
| ~ big_f(a,f(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_5,negated_conjecture,
( big_f(g(X1),X1)
| ~ big_f(a,X1)
| ~ big_f(a,f(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_7,negated_conjecture,
( big_f(a,b)
| ~ big_f(g(X1),X1)
| ~ big_f(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_1,negated_conjecture,
( big_f(a,f(a))
| big_f(X1,f(a))
| ~ big_f(X1,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_4,negated_conjecture,
( big_f(g(X1),X1)
| big_f(a,b)
| ~ big_f(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_2,negated_conjecture,
( big_f(a,f(a))
| big_f(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(i_0_8,negated_conjecture,
( big_f(X2,f(a))
| ~ big_f(g(X1),X1)
| ~ big_f(a,X1)
| ~ big_f(X2,b) ),
clause_6,
[final] ).
cnf(i_0_9,negated_conjecture,
( big_f(g(X1),X1)
| big_f(X2,f(a))
| ~ big_f(a,X1)
| ~ big_f(X2,b) ),
clause_3,
[final] ).
cnf(i_0_10,negated_conjecture,
( ~ big_f(g(X1),X1)
| ~ big_f(a,X1)
| ~ big_f(a,f(a)) ),
clause_8,
[final] ).
cnf(i_0_11,negated_conjecture,
( big_f(g(X1),X1)
| ~ big_f(a,X1)
| ~ big_f(a,f(a)) ),
clause_5,
[final] ).
cnf(i_0_12,negated_conjecture,
( big_f(a,b)
| ~ big_f(g(X1),X1)
| ~ big_f(a,X1) ),
clause_7,
[final] ).
cnf(i_0_13,negated_conjecture,
( big_f(a,f(a))
| big_f(X1,f(a))
| ~ big_f(X1,b) ),
clause_1,
[final] ).
cnf(i_0_14,negated_conjecture,
( big_f(g(X1),X1)
| big_f(a,b)
| ~ big_f(a,X1) ),
clause_4,
[final] ).
cnf(i_0_15,negated_conjecture,
( big_f(a,f(a))
| big_f(a,b) ),
clause_2,
[final] ).
cnf(i_0_16,plain,
big_f(a,f(a)),
inference(scs_inference,[],[i_0_15,i_0_13]) ).
cnf(i_0_17,plain,
( ~ big_f(a,X1)
| ~ big_f(g(X1),X1) ),
inference(scs_inference,[],[i_0_16,i_0_10]) ).
cnf(i_0_18,plain,
( ~ big_f(a,X1)
| big_f(g(X1),X1) ),
inference(scs_inference,[],[i_0_16,i_0_11]) ).
cnf(i_0_19,plain,
~ big_f(g(f(a)),f(a)),
inference(scs_inference,[],[i_0_16,i_0_17]) ).
cnf(i_0_20,plain,
( ~ big_f(a,X1)
| ~ big_f(g(X1),X1) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_21,plain,
$false,
inference(scs_inference,[],[i_0_16,i_0_17,i_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN082-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % 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
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:12:21 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.23/1.61 % Version : CSE_E---1.7
% 0.23/1.61 % Problem : theBenchmark.p
% 0.23/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.23/1.61 % SZS output start CNFRefutation
% See solution above
% 0.23/1.63 % Total time : 1.269s
%------------------------------------------------------------------------------