%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN348-1 : 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 : n016.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 : Satisfiable 1.24s 1.72s
% Output : Saturation 1.24s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause5,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause1,negated_conjecture,
( f(g(X1,X2),X2)
| f(g(X1,X2),X1)
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(X2,g(X1,X2))
| ~ f(w(X1),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( f(g(X1,X2),X2)
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause13,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(g(X1,X2),w(X1))
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(clause6,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause3,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X1)
| f(w(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',clause3) ).
cnf(clause14,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(w(X1),g(X1,X2))
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(clause7,negated_conjecture,
( f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(w(X1),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause8,negated_conjecture,
( f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause11,negated_conjecture,
( f(X1,g(X1,X2))
| f(X2,g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
cnf(clause9,negated_conjecture,
( f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause12,negated_conjecture,
( f(X1,g(X1,X2))
| f(X2,g(X1,X2))
| f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),X1)
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause15,negated_conjecture,
( f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(clause10,negated_conjecture,
( f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause16,negated_conjecture,
( ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
cnf(clause4,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X1)
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(c_0_16,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1)) ),
clause5,
[final] ).
cnf(c_0_17,negated_conjecture,
( f(g(X1,w(X1)),w(X1))
| f(w(X1),g(X1,w(X1)))
| f(g(X1,w(X1)),X1)
| f(X1,g(X1,w(X1))) ),
inference(ef,[status(thm)],[c_0_16]),
[final] ).
cnf(c_0_18,negated_conjecture,
( f(g(X1,X2),X2)
| f(g(X1,X2),X1)
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(X2,g(X1,X2))
| ~ f(w(X1),g(X1,X2)) ),
clause1,
[final] ).
cnf(c_0_19,negated_conjecture,
( f(g(X1,X2),X2)
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause2,
[final] ).
cnf(c_0_20,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(g(X1,X2),w(X1))
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2)) ),
clause13,
[final] ).
cnf(c_0_21,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause6,
[final] ).
cnf(c_0_22,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2)) ),
clause3,
[final] ).
cnf(c_0_23,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X2)
| f(w(X1),g(X1,X2))
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(g(X1,X2),w(X1)) ),
clause14,
[final] ).
cnf(c_0_24,negated_conjecture,
( f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(w(X1),g(X1,X2)) ),
clause7,
[final] ).
cnf(c_0_25,negated_conjecture,
( f(X2,g(X1,X2))
| f(g(X1,X2),X1)
| f(w(X1),g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),w(X1)) ),
clause8,
[final] ).
cnf(c_0_26,negated_conjecture,
( f(X1,g(X1,X2))
| f(X2,g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2)) ),
clause11,
[final] ).
cnf(c_0_27,negated_conjecture,
( f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X1) ),
clause9,
[final] ).
cnf(c_0_28,negated_conjecture,
( f(X1,g(X1,X2))
| f(X2,g(X1,X2))
| f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(g(X1,X2),X1)
| ~ f(g(X1,X2),w(X1)) ),
clause12,
[final] ).
cnf(c_0_29,negated_conjecture,
( f(w(X1),g(X1,X2))
| f(g(X1,X2),w(X1))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1) ),
clause15,
[final] ).
cnf(c_0_30,negated_conjecture,
( f(g(X1,X2),X2)
| f(X2,g(X1,X2))
| ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause10,
[final] ).
cnf(c_0_31,negated_conjecture,
( ~ f(X1,g(X1,X2))
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(g(X1,X2),X1)
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause16,
[final] ).
cnf(c_0_32,negated_conjecture,
( f(X1,g(X1,X2))
| f(g(X1,X2),X1)
| ~ f(g(X1,X2),X2)
| ~ f(X2,g(X1,X2))
| ~ f(w(X1),g(X1,X2))
| ~ f(g(X1,X2),w(X1)) ),
clause4,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN348-1 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n016.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:29:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Satisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start Saturation
% See solution above
% 1.24/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------