%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN353-1 : 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 : n018.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 : Unsatisfiable 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of clauses : 54 ( 8 unt; 22 nHn; 35 RR)
% Number of literals : 132 ( 0 equ; 54 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 121 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
( f(X2,X3,X1)
| f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(a,a,z(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause4,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X2,z(X2,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(clause10,negated_conjecture,
( f(X1,X2,X3)
| f(X2,X3,X1)
| ~ f(z(X2,X3,X1),X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(clause6,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(clause8,negated_conjecture,
( f(X1,X2,X3)
| f(X3,z(X3,X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause11,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X1,X2)
| ~ f(z(X3,X1,X2),X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(clause2,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause12,negated_conjecture,
( f(z(X2,X3,X1),X3,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(clause3,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause13,negated_conjecture,
( f(z(X1,X2,X3),X2,X1)
| ~ f(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
cnf(clause7,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(clause9,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(clause17,negated_conjecture,
( ~ f(X1,X2,X3)
| ~ f(X2,X3,X1)
| ~ f(X3,X1,X2)
| ~ f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(c_0_13,negated_conjecture,
( f(X2,X3,X1)
| f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(a,a,z(X1,X2,X3)) ),
clause1 ).
cnf(c_0_14,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X2,z(X2,X3,X1)) ),
clause4 ).
cnf(c_0_15,negated_conjecture,
( f(a,X1,a)
| f(X1,a,a)
| ~ f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( f(X1,X2,X3)
| f(X2,X3,X1)
| ~ f(z(X2,X3,X1),X3,X2) ),
clause10 ).
cnf(c_0_17,negated_conjecture,
( f(z(a,a,X1),a,a)
| f(a,z(a,a,X1),a)
| f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
clause6 ).
cnf(c_0_19,negated_conjecture,
( f(a,z(a,a,X1),a)
| f(X1,a,a)
| f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( f(X1,a,a)
| f(a,a,X1)
| ~ f(a,X1,a) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( f(X1,X2,X3)
| f(X3,z(X3,X1,X2),X1) ),
clause8 ).
cnf(c_0_22,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X1,X2)
| ~ f(z(X3,X1,X2),X1,X3) ),
clause11 ).
cnf(c_0_23,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(z(a,a,X1),a,a)
| f(a,X1,a) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
clause2 ).
cnf(c_0_25,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(a,X1,a)
| f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( f(a,X1,a)
| f(a,a,X1)
| ~ f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( f(z(X2,X3,X1),X3,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
clause12 ).
cnf(c_0_28,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(a,z(a,a,X1),a) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14]),c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(a,a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_28]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( f(a,a,X1)
| ~ f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(z(a,a,X1),a,a) ),
inference(spm,[status(thm)],[c_0_20,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
clause3 ).
cnf(c_0_33,negated_conjecture,
f(a,a,z(a,a,X1)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( f(a,X1,a)
| ~ f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( f(z(X1,X2,X3),X2,X1)
| ~ f(X1,X2,X3) ),
clause13 ).
cnf(c_0_36,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
clause7 ).
cnf(c_0_37,negated_conjecture,
( f(a,z(a,a,X1),a)
| ~ f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
( f(X1,a,a)
| ~ f(a,X1,a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_20]) ).
cnf(c_0_39,negated_conjecture,
f(a,z(a,a,X1),a),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_38]),c_0_21]) ).
cnf(c_0_40,negated_conjecture,
f(z(a,a,X1),a,a),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_41,negated_conjecture,
( f(a,a,X1)
| ~ f(a,X1,a) ),
inference(spm,[status(thm)],[c_0_18,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
f(a,a,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_40]),c_0_41]) ).
cnf(c_0_43,negated_conjecture,
( f(X1,X2,X3)
| f(X2,X3,X1)
| ~ f(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_42])]) ).
cnf(c_0_44,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| f(X2,X1,z(X1,X2,X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_14]),c_0_21]) ).
cnf(c_0_45,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
clause9 ).
cnf(c_0_46,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| ~ f(X3,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_44]),c_0_45]) ).
cnf(c_0_47,negated_conjecture,
( f(X1,X2,X3)
| ~ f(X2,X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_46]),c_0_43]) ).
cnf(c_0_48,negated_conjecture,
f(X1,X2,z(X2,X1,X3)),
inference(spm,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
f(z(X1,X2,X3),X2,X1),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,negated_conjecture,
( f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_48])]) ).
cnf(c_0_51,negated_conjecture,
( ~ f(X1,X2,X3)
| ~ f(X2,X3,X1)
| ~ f(X3,X1,X2)
| ~ f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3)) ),
clause17 ).
cnf(c_0_52,negated_conjecture,
f(X1,X2,X3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_49])]),c_0_50]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_52]),c_0_52]),c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN353-1 : 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
% 0.16/0.33 % Computer : n018.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:29:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------