%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN349-1 : TPTP v9.2.1. Released v1.2.0.
% 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 : n020.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 05:36:53 PM UTC 2026
% Result : Unsatisfiable 0.30s 1.63s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 4 unt; 16 nHn; 25 RR)
% Number of literals : 93 ( 0 equ; 45 neg)
% Maximal clause size : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause10,negated_conjecture,
( ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause9,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause7,negated_conjecture,
( f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause8,negated_conjecture,
( f(X1,g(X1,X2))
| f(X2,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause3,negated_conjecture,
( f(g(X1,X2),X2)
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(X2,g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause4,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause6,negated_conjecture,
( f(X2,g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause5,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause1,negated_conjecture,
( f(X1,g(X1,X2))
| ~ f(w(X1),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( f(w(X1),g(X1,X2))
| ~ f(X1,g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(i_0_10,negated_conjecture,
( ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause10,
[final] ).
cnf(i_0_11,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause9,
[final] ).
cnf(i_0_12,negated_conjecture,
( f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause7,
[final] ).
cnf(i_0_13,negated_conjecture,
( f(X1,g(X1,X2))
| f(X2,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),w(X1)) ),
clause8,
[final] ).
cnf(i_0_14,negated_conjecture,
( f(g(X1,X2),X2)
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(X2,g(X1,X2)) ),
clause3,
[final] ).
cnf(i_0_15,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2)) ),
clause4,
[final] ).
cnf(i_0_16,negated_conjecture,
( f(X2,g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2) ),
clause6,
[final] ).
cnf(i_0_17,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(g(X1,X2),w(X1)) ),
clause5,
[final] ).
cnf(i_0_18,negated_conjecture,
( f(X1,g(X1,X2))
| ~ f(w(X1),g(X1,X2)) ),
clause1,
[final] ).
cnf(i_0_19,negated_conjecture,
( f(w(X1),g(X1,X2))
| ~ f(X1,g(X1,X2)) ),
clause2,
[final] ).
cnf(i_0_20,plain,
( ~ f(w(X1),g(X1,X2))
| f(w(X1),g(X1,X2)) ),
inference(scs_inference,[],[i_0_18,i_0_19]) ).
cnf(i_0_21,plain,
( f(X1,g(X1,X2))
| ~ f(X1,g(X1,X2)) ),
inference(scs_inference,[],[i_0_18,i_0_19]) ).
cnf(i_0_22,plain,
( f(X1,g(X1,w(X1)))
| ~ f(g(X1,w(X1)),w(X1)) ),
inference(scs_inference,[],[i_0_18,i_0_13]) ).
cnf(i_0_23,plain,
( f(X1,g(X1,w(X1)))
| f(w(X1),g(X1,w(X1)))
| f(g(X1,w(X1)),w(X1)) ),
inference(scs_inference,[],[i_0_22,i_0_17]) ).
cnf(i_0_24,plain,
( f(g(X1,w(X1)),w(X1))
| f(X1,g(X1,w(X1))) ),
inference(scs_inference,[],[i_0_23,i_0_18]) ).
cnf(i_0_25,plain,
f(X1,g(X1,w(X1))),
inference(scs_inference,[],[i_0_24,i_0_22]) ).
cnf(i_0_26,plain,
f(w(X1),g(X1,w(X1))),
inference(scs_inference,[],[i_0_25,i_0_19]) ).
cnf(i_0_27,plain,
( ~ f(X1,g(X1,X2))
| f(w(X1),g(X1,X2)) ),
inference(rename_variables,[],[i_0_19]) ).
cnf(i_0_28,plain,
~ f(g(X1,w(X1)),w(X1)),
inference(scs_inference,[],[i_0_25,i_0_19,i_0_10]) ).
cnf(i_0_29,plain,
( ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_30,plain,
$false,
inference(scs_inference,[],[i_0_25,i_0_19,i_0_10,i_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN349-1 : TPTP v9.2.1. Released v1.2.0.
% 0.12/0.13 % 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
% 0.19/0.34 % Computer : n020.cluster.edu
% 0.19/0.34 % Model : x86_64 x86_64
% 0.19/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.34 % Memory : 8042.1875MB
% 0.19/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Tue May 5 08:29:20 EDT 2026
% 0.19/0.35 % CPUTime :
% 0.21/0.36 % start to proof: theBenchmark
% 0.30/1.63 % Version : CSE_E---1.7
% 0.30/1.63 % Problem : theBenchmark.p
% 0.30/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.30/1.63 % SZS output start CNFRefutation
% See solution above
% 0.30/1.66 % Total time : 1.275s
%------------------------------------------------------------------------------