%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN351-1 : TPTP v9.2.1. Released v1.2.0.
% 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 : n022.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 05:36:54 PM UTC 2026
% Result : Satisfiable 1.30s 1.73s
% Output : Saturation 1.30s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause3,negated_conjecture,
( f(X1,b,X1,X2)
| ~ f(a,X1,a,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause5,negated_conjecture,
( f(a,X1,a,X2)
| f(a,X2,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(clause7,negated_conjecture,
( ~ f(a,z(X1,X2),X1,z(X1,X2))
| ~ f(a,X1,a,X2)
| ~ f(a,X2,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(clause1,negated_conjecture,
f(a,X1,a,z(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( f(a,X1,a,X2)
| ~ f(X1,b,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause6,negated_conjecture,
( f(a,X1,X2,X1)
| f(a,z(X2,X1),X2,z(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(clause4,negated_conjecture,
( f(a,X1,a,X2)
| f(a,z(X1,X2),X1,z(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(c_0_7,negated_conjecture,
( f(X1,b,X1,X2)
| ~ f(a,X1,a,X2) ),
clause3,
[final] ).
cnf(c_0_8,negated_conjecture,
( f(a,X1,a,X2)
| f(a,X2,X1,X2) ),
clause5,
[final] ).
cnf(c_0_9,negated_conjecture,
( ~ f(a,z(X1,X2),X1,z(X1,X2))
| ~ f(a,X1,a,X2)
| ~ f(a,X2,X1,X2) ),
clause7,
[final] ).
cnf(c_0_10,negated_conjecture,
f(a,X1,a,z(X2,X1)),
clause1,
[final] ).
cnf(c_0_11,negated_conjecture,
( f(a,X1,a,X2)
| ~ f(X1,b,X1,X2) ),
clause2,
[final] ).
cnf(c_0_12,negated_conjecture,
( f(a,X1,X2,X1)
| f(X2,b,X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[final] ).
cnf(c_0_13,negated_conjecture,
( f(a,X1,a,z(X1,X2))
| ~ f(a,X1,a,X2)
| ~ f(a,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]),
[final] ).
cnf(c_0_14,negated_conjecture,
f(X1,b,X1,z(X2,X1)),
inference(spm,[status(thm)],[c_0_7,c_0_10]),
[final] ).
cnf(c_0_15,negated_conjecture,
( f(a,a,a,X1)
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]),
[final] ).
cnf(c_0_16,negated_conjecture,
( f(a,a,a,X1)
| f(X1,b,X1,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[final] ).
cnf(c_0_17,negated_conjecture,
( f(b,b,b,X1)
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_12]),
[final] ).
cnf(c_0_18,negated_conjecture,
( f(X1,b,X1,z(X1,X2))
| ~ f(a,X1,a,X2)
| ~ f(a,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_12]),
[final] ).
cnf(c_0_19,negated_conjecture,
( f(a,b,a,z(b,z(X1,a)))
| ~ f(a,z(X1,a),b,z(X1,a)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_20,negated_conjecture,
( f(a,X1,X2,X1)
| f(a,z(X2,X1),X2,z(X2,X1)) ),
clause6,
[final] ).
cnf(c_0_21,negated_conjecture,
( f(a,X1,a,z(X1,z(X2,X1)))
| ~ f(a,z(X2,X1),X1,z(X2,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]),
[final] ).
cnf(c_0_22,negated_conjecture,
( f(a,a,a,z(b,X1))
| ~ f(a,b,a,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]),
[final] ).
cnf(c_0_23,negated_conjecture,
( f(a,b,a,X1)
| f(X1,b,X1,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_16]),
[final] ).
cnf(c_0_24,negated_conjecture,
( f(b,b,b,z(a,X1))
| ~ f(a,a,a,X1)
| ~ f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_17]),
[final] ).
cnf(c_0_25,negated_conjecture,
( f(a,b,a,z(a,X1))
| f(a,X1,b,X1)
| ~ f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]),
[final] ).
cnf(c_0_26,negated_conjecture,
( f(a,a,a,z(a,X1))
| f(a,X1,b,X1)
| ~ f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_15]),
[final] ).
cnf(c_0_27,negated_conjecture,
( f(a,X1,a,X2)
| f(a,z(X1,X2),X1,z(X1,X2)) ),
clause4,
[final] ).
cnf(c_0_28,negated_conjecture,
( f(a,b,a,z(b,z(b,a)))
| f(a,a,b,a) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]),
[final] ).
cnf(c_0_29,negated_conjecture,
( f(a,X1,a,z(X1,z(X1,X1)))
| f(a,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]),
[final] ).
cnf(c_0_30,negated_conjecture,
f(a,a,a,b),
inference(spm,[status(thm)],[c_0_11,c_0_8]),
[final] ).
cnf(c_0_31,negated_conjecture,
f(a,a,a,a),
inference(ef,[status(thm)],[c_0_8]),
[final] ).
cnf(c_0_32,negated_conjecture,
( f(a,a,a,z(b,X1))
| f(X1,b,X1,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]),
[final] ).
cnf(c_0_33,negated_conjecture,
( f(b,b,b,z(b,X1))
| f(X1,b,X1,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]),
[final] ).
cnf(c_0_34,negated_conjecture,
( f(a,b,a,z(b,X1))
| f(X1,b,X1,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]),
[final] ).
cnf(c_0_35,negated_conjecture,
( f(b,b,b,z(a,X1))
| f(a,X1,b,X1)
| ~ f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_15]),
[final] ).
cnf(c_0_36,negated_conjecture,
( f(b,b,b,z(b,X1))
| f(a,X1,a,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]),
[final] ).
cnf(c_0_37,negated_conjecture,
( f(a,b,a,z(a,X1))
| f(a,X1,b,X1)
| f(a,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_8]),
[final] ).
cnf(c_0_38,negated_conjecture,
( f(a,a,a,z(a,X1))
| f(a,X1,b,X1)
| f(a,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_8]),
[final] ).
cnf(c_0_39,negated_conjecture,
( f(a,a,a,z(b,X1))
| f(a,X1,a,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_12]),
[final] ).
cnf(c_0_40,negated_conjecture,
( f(a,b,a,z(b,X1))
| f(a,X1,a,X1)
| ~ f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]),
[final] ).
cnf(c_0_41,negated_conjecture,
( f(a,X1,a,z(X1,z(X1,X1)))
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_27]),
[final] ).
cnf(c_0_42,negated_conjecture,
f(a,a,a,z(X1,b)),
inference(spm,[status(thm)],[c_0_11,c_0_10]),
[final] ).
cnf(c_0_43,negated_conjecture,
( f(a,a,a,z(b,z(b,a)))
| f(a,a,b,a) ),
inference(spm,[status(thm)],[c_0_11,c_0_28]),
[final] ).
cnf(c_0_44,negated_conjecture,
( f(a,a,a,z(b,z(b,b)))
| f(a,b,b,b) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]),
[final] ).
cnf(c_0_45,negated_conjecture,
f(a,b,a,b),
inference(spm,[status(thm)],[c_0_7,c_0_30]),
[final] ).
cnf(c_0_46,negated_conjecture,
f(a,b,a,a),
inference(spm,[status(thm)],[c_0_7,c_0_31]),
[final] ).
cnf(c_0_47,negated_conjecture,
( f(z(b,X1),b,z(b,X1),z(b,X1))
| f(a,a,a,z(b,z(b,X1)))
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]),
[final] ).
cnf(c_0_48,negated_conjecture,
( f(z(b,X1),b,z(b,X1),z(b,X1))
| f(a,a,a,z(b,z(b,X1)))
| f(a,b,a,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_27]),
[final] ).
cnf(c_0_49,negated_conjecture,
( f(z(b,X1),b,z(b,X1),z(b,X1))
| f(b,b,b,z(b,z(b,X1)))
| f(a,b,a,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_27]),
[final] ).
cnf(c_0_50,negated_conjecture,
( f(z(b,X1),b,z(b,X1),z(b,X1))
| f(b,b,b,z(b,z(b,X1)))
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]),
[final] ).
cnf(c_0_51,negated_conjecture,
( f(z(b,X1),b,z(b,X1),z(b,X1))
| f(a,b,a,z(b,z(b,X1)))
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]),
[final] ).
cnf(c_0_52,negated_conjecture,
( f(b,b,b,z(a,z(a,X1)))
| f(a,z(a,X1),b,z(a,X1))
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_20]),
[final] ).
cnf(c_0_53,negated_conjecture,
( f(z(b,X1),b,z(b,X1),z(b,X1))
| f(a,b,a,z(b,z(b,X1)))
| f(a,b,a,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_27]),
[final] ).
cnf(c_0_54,negated_conjecture,
( f(b,b,b,z(a,z(a,X1)))
| f(a,z(a,X1),b,z(a,X1))
| f(a,a,a,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_27]),
[final] ).
cnf(c_0_55,negated_conjecture,
( f(a,b,a,z(a,z(a,X1)))
| f(a,z(a,X1),b,z(a,X1))
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_20]),
[final] ).
cnf(c_0_56,negated_conjecture,
( f(b,b,b,z(b,z(b,X1)))
| f(a,z(b,X1),a,z(b,X1))
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_20]),
[final] ).
cnf(c_0_57,negated_conjecture,
( f(a,b,a,z(a,z(a,X1)))
| f(a,z(a,X1),b,z(a,X1))
| f(a,a,a,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_27]),
[final] ).
cnf(c_0_58,negated_conjecture,
( f(b,b,b,z(b,z(b,X1)))
| f(a,z(b,X1),a,z(b,X1))
| f(a,b,a,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_27]),
[final] ).
cnf(c_0_59,negated_conjecture,
( f(a,a,a,z(b,z(a,X1)))
| f(a,X1,b,X1)
| f(a,X1,X1,X1)
| ~ f(a,z(a,X1),b,z(a,X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_37]),
[final] ).
cnf(c_0_60,negated_conjecture,
( f(b,b,b,z(b,z(a,X1)))
| f(a,X1,b,X1)
| f(a,X1,X1,X1)
| ~ f(a,z(a,X1),b,z(a,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_37]),
[final] ).
cnf(c_0_61,negated_conjecture,
( f(a,b,a,z(b,z(a,X1)))
| f(a,X1,b,X1)
| f(a,X1,X1,X1)
| ~ f(a,z(a,X1),b,z(a,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_37]),
[final] ).
cnf(c_0_62,negated_conjecture,
( f(b,b,b,z(a,z(a,X1)))
| f(a,X1,b,X1)
| f(a,X1,X1,X1)
| ~ f(a,z(a,X1),a,z(a,X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_38]),
[final] ).
cnf(c_0_63,negated_conjecture,
( f(a,a,a,z(b,z(b,X1)))
| f(a,z(b,X1),a,z(b,X1))
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_20]),
[final] ).
cnf(c_0_64,negated_conjecture,
( f(a,b,a,z(a,z(a,X1)))
| f(a,X1,b,X1)
| f(a,X1,X1,X1)
| ~ f(a,z(a,X1),a,z(a,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_38]),
[final] ).
cnf(c_0_65,negated_conjecture,
( f(a,a,a,z(a,z(a,X1)))
| f(a,X1,b,X1)
| f(a,X1,X1,X1)
| ~ f(a,z(a,X1),a,z(a,X1)) ),
inference(spm,[status(thm)],[c_0_13,c_0_38]),
[final] ).
cnf(c_0_66,negated_conjecture,
( f(a,b,a,z(b,z(b,X1)))
| f(a,z(b,X1),a,z(b,X1))
| f(a,X1,b,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_20]),
[final] ).
cnf(c_0_67,negated_conjecture,
( f(a,a,a,z(b,z(b,X1)))
| f(a,z(b,X1),a,z(b,X1))
| f(a,b,a,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]),
[final] ).
cnf(c_0_68,negated_conjecture,
( f(b,b,b,z(a,X1))
| f(a,X1,b,X1)
| f(a,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_8]),
[final] ).
cnf(c_0_69,negated_conjecture,
( f(a,b,a,z(b,z(b,X1)))
| f(a,z(b,X1),a,z(b,X1))
| f(a,b,a,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_27]),
[final] ).
cnf(c_0_70,negated_conjecture,
( f(X1,b,X1,z(X1,z(X1,z(X1,X1))))
| f(a,X1,a,X1)
| ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1))) ),
inference(spm,[status(thm)],[c_0_18,c_0_41]),
[final] ).
cnf(c_0_71,negated_conjecture,
( f(X1,b,X1,z(X1,z(X1,z(X1,X1))))
| f(a,X1,X1,X1)
| ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1))) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]),
[final] ).
cnf(c_0_72,negated_conjecture,
( f(b,b,b,X1)
| f(X1,b,X1,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_17]),
[final] ).
cnf(c_0_73,negated_conjecture,
( f(a,a,a,z(a,z(a,X1)))
| f(a,z(a,X1),b,z(a,X1))
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]),
[final] ).
cnf(c_0_74,negated_conjecture,
( f(a,a,a,z(a,z(a,X1)))
| f(a,z(a,X1),b,z(a,X1))
| f(a,a,a,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_75,negated_conjecture,
( f(a,X1,a,z(X1,z(X1,z(X1,X1))))
| f(a,X1,a,X1)
| ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1))) ),
inference(spm,[status(thm)],[c_0_13,c_0_41]),
[final] ).
cnf(c_0_76,negated_conjecture,
( f(b,b,b,z(a,z(X1,b)))
| ~ f(a,z(X1,b),a,z(X1,b)) ),
inference(spm,[status(thm)],[c_0_24,c_0_42]),
[final] ).
cnf(c_0_77,negated_conjecture,
( f(b,b,b,z(a,z(X1,a)))
| ~ f(a,z(X1,a),a,z(X1,a)) ),
inference(spm,[status(thm)],[c_0_24,c_0_10]),
[final] ).
cnf(c_0_78,negated_conjecture,
( f(a,X1,a,z(X1,z(X1,z(X1,X1))))
| f(a,X1,X1,X1)
| ~ f(a,z(X1,z(X1,X1)),X1,z(X1,z(X1,X1))) ),
inference(spm,[status(thm)],[c_0_13,c_0_29]),
[final] ).
cnf(c_0_79,negated_conjecture,
( f(b,b,b,z(a,z(b,z(b,a))))
| f(a,a,b,a)
| ~ f(a,z(b,z(b,a)),a,z(b,z(b,a))) ),
inference(spm,[status(thm)],[c_0_24,c_0_43]),
[final] ).
cnf(c_0_80,negated_conjecture,
( f(b,b,b,z(a,z(b,z(b,b))))
| f(a,b,b,b)
| ~ f(a,z(b,z(b,b)),a,z(b,z(b,b))) ),
inference(spm,[status(thm)],[c_0_24,c_0_44]),
[final] ).
cnf(c_0_81,negated_conjecture,
( f(a,b,a,z(a,z(X1,b)))
| ~ f(a,z(X1,b),a,z(X1,b)) ),
inference(spm,[status(thm)],[c_0_18,c_0_42]),
[final] ).
cnf(c_0_82,negated_conjecture,
( f(z(a,X1),b,z(a,X1),z(a,X1))
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_20]),
[final] ).
cnf(c_0_83,negated_conjecture,
( f(b,b,b,z(b,z(X1,a)))
| ~ f(a,z(X1,a),b,z(X1,a)) ),
inference(spm,[status(thm)],[c_0_18,c_0_14]),
[final] ).
cnf(c_0_84,negated_conjecture,
( f(a,a,a,z(b,z(X1,b)))
| ~ f(a,z(X1,b),b,z(X1,b)) ),
inference(spm,[status(thm)],[c_0_22,c_0_10]),
[final] ).
cnf(c_0_85,negated_conjecture,
( f(z(a,X1),b,z(a,X1),z(a,X1))
| f(a,a,a,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_27]),
[final] ).
cnf(c_0_86,negated_conjecture,
( f(a,b,a,z(a,z(b,z(b,a))))
| f(a,a,b,a)
| ~ f(a,z(b,z(b,a)),a,z(b,z(b,a))) ),
inference(spm,[status(thm)],[c_0_18,c_0_43]),
[final] ).
cnf(c_0_87,negated_conjecture,
( f(a,b,a,z(a,z(b,z(b,b))))
| f(a,b,b,b)
| ~ f(a,z(b,z(b,b)),a,z(b,z(b,b))) ),
inference(spm,[status(thm)],[c_0_18,c_0_44]),
[final] ).
cnf(c_0_88,negated_conjecture,
( f(b,b,b,z(b,z(b,z(b,a))))
| f(a,a,b,a)
| ~ f(a,z(b,z(b,a)),b,z(b,z(b,a))) ),
inference(spm,[status(thm)],[c_0_18,c_0_28]),
[final] ).
cnf(c_0_89,negated_conjecture,
( f(X1,b,X1,z(X1,z(X2,X1)))
| ~ f(a,z(X2,X1),X1,z(X2,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_10]),
[final] ).
cnf(c_0_90,negated_conjecture,
( f(a,a,a,z(b,z(b,z(b,a))))
| f(a,a,b,a)
| ~ f(a,z(b,z(b,a)),b,z(b,z(b,a))) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]),
[final] ).
cnf(c_0_91,negated_conjecture,
( f(a,a,a,z(b,z(b,z(b,b))))
| f(a,b,b,b)
| ~ f(a,z(b,z(b,b)),b,z(b,z(b,b))) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]),
[final] ).
cnf(c_0_92,negated_conjecture,
( f(a,a,a,z(a,z(b,z(b,a))))
| f(a,a,b,a)
| ~ f(a,z(b,z(b,a)),a,z(b,z(b,a))) ),
inference(spm,[status(thm)],[c_0_13,c_0_43]),
[final] ).
cnf(c_0_93,negated_conjecture,
( f(a,b,a,z(b,z(b,z(b,a))))
| f(a,a,b,a)
| ~ f(a,z(b,z(b,a)),b,z(b,z(b,a))) ),
inference(spm,[status(thm)],[c_0_13,c_0_28]),
[final] ).
cnf(c_0_94,negated_conjecture,
( f(a,a,a,z(b,z(X1,a)))
| ~ f(a,z(X1,a),b,z(X1,a)) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]),
[final] ).
cnf(c_0_95,negated_conjecture,
( f(b,b,b,z(b,z(b,a)))
| f(a,a,b,a) ),
inference(spm,[status(thm)],[c_0_7,c_0_28]),
[final] ).
cnf(c_0_96,negated_conjecture,
( f(X1,b,X1,z(X1,z(X1,X1)))
| f(a,X1,a,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_41]),
[final] ).
cnf(c_0_97,negated_conjecture,
( f(a,a,a,z(a,z(b,z(b,b))))
| f(a,b,b,b)
| ~ f(a,z(b,z(b,b)),a,z(b,z(b,b))) ),
inference(spm,[status(thm)],[c_0_13,c_0_44]),
[final] ).
cnf(c_0_98,negated_conjecture,
( f(X1,b,X1,z(X1,z(X1,X1)))
| f(a,X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_29]),
[final] ).
cnf(c_0_99,negated_conjecture,
( f(a,a,a,z(a,z(X1,b)))
| ~ f(a,z(X1,b),a,z(X1,b)) ),
inference(spm,[status(thm)],[c_0_13,c_0_42]),
[final] ).
cnf(c_0_100,negated_conjecture,
f(b,b,b,z(X1,a)),
inference(spm,[status(thm)],[c_0_7,c_0_14]),
[final] ).
cnf(c_0_101,negated_conjecture,
f(b,b,b,b),
inference(spm,[status(thm)],[c_0_7,c_0_45]),
[final] ).
cnf(c_0_102,negated_conjecture,
f(b,b,b,a),
inference(spm,[status(thm)],[c_0_7,c_0_46]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN351-1 : TPTP v9.2.1. Released v1.2.0.
% 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
% 0.18/0.33 % Computer : n022.cluster.edu
% 0.18/0.33 % Model : x86_64 x86_64
% 0.18/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.33 % Memory : 8042.1875MB
% 0.18/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Tue May 5 08:29:36 EDT 2026
% 0.18/0.33 % CPUTime :
% 0.18/0.35 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Satisfiable for theBenchmark.p
% 1.30/1.73 % SZS output start Saturation
% See solution above
% 1.30/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------