%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN006-1 : 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 : n015.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 05:35:08 PM UTC 2026
% Result : Unsatisfiable 0.22s 1.62s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 14 unt; 6 nHn; 18 RR)
% Number of literals : 36 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 38 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_6,negated_conjecture,
~ q4(f(f(X1)),f(g(f(X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_4,negated_conjecture,
( q3(f(X1),X2)
| q4(X1,f(X2))
| ~ p2(X1,f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_1,negated_conjecture,
( q1(f(X1),X2)
| q2(X1,f(X2))
| ~ p1(X1,f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_7,negated_conjecture,
( p2(f(X1),X2)
| ~ q1(X1,f(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_5,negated_conjecture,
~ q3(X1,g(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_3,negated_conjecture,
~ q2(X1,f(X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,negated_conjecture,
p1(a,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(i_0_7,negated_conjecture,
~ q4(f(f(X1)),f(g(f(X2)))),
clause_6,
[final] ).
cnf(i_0_8,negated_conjecture,
( q3(f(X1),X2)
| q4(X1,f(X2))
| ~ p2(X1,f(X2)) ),
clause_4,
[final] ).
cnf(i_0_9,negated_conjecture,
( q1(f(X1),X2)
| q2(X1,f(X2))
| ~ p1(X1,f(X2)) ),
clause_1,
[final] ).
cnf(i_0_10,negated_conjecture,
( p2(f(X1),X2)
| ~ q1(X1,f(X2)) ),
clause_7,
[final] ).
cnf(i_0_11,negated_conjecture,
~ q3(X1,g(X2)),
clause_5,
[final] ).
cnf(i_0_12,negated_conjecture,
~ q2(X1,f(X2)),
clause_3,
[final] ).
cnf(i_0_13,negated_conjecture,
p1(a,X1),
clause_2,
[final] ).
cnf(i_0_14,plain,
~ p2(f(f(X1)),f(g(f(X2)))),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_8]) ).
cnf(i_0_15,plain,
~ q3(X1,g(X2)),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_16,plain,
( q4(X1,f(X2))
| ~ p2(X1,f(X2))
| q3(f(X1),X2) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_17,plain,
q1(f(a),X1),
inference(scs_inference,[],[i_0_7,i_0_13,i_0_11,i_0_12,i_0_8,i_0_9]) ).
cnf(i_0_18,plain,
~ q2(X1,f(X2)),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_19,plain,
p1(a,X1),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_20,plain,
( q2(X1,f(X2))
| ~ p1(X1,f(X2))
| q1(f(X1),X2) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_21,plain,
$false,
inference(scs_inference,[],[i_0_7,i_0_13,i_0_11,i_0_12,i_0_8,i_0_9,i_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN006-1 : 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 : n015.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 08:04:02 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.22/1.62 % Version : CSE_E---1.7
% 0.22/1.62 % Problem : theBenchmark.p
% 0.22/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/1.62 % SZS output start CNFRefutation
% See solution above
% 0.22/1.64 % Total time : 1.272s
%------------------------------------------------------------------------------