%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN706-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n027.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 05:39:57 PM UTC 2026
% Result : Unsatisfiable 1.38s 1.74s
% Output : CNFRefutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 11 unt; 0 nHn; 14 RR)
% Number of literals : 50 ( 0 equ; 30 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 46 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p48_57,negated_conjecture,
( p48(X1,X2)
| ~ p47(X3,X2)
| ~ p48(X4,X3)
| ~ p37(X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_57) ).
cnf(p48_81,negated_conjecture,
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X2)),c60)
| ~ p45(f20(c52,c50),X2)
| ~ p46(f23(c53,X1),f5(c49,c50)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p48_81) ).
cnf(p37_67,negated_conjecture,
( p37(f38(X1,X2),f38(X3,X4))
| ~ p36(X1,X3)
| ~ p7(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37_67) ).
cnf(p7_59,negated_conjecture,
p7(f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_59) ).
cnf(p46_78,negated_conjecture,
( p46(f23(c53,f35(X1,X2)),f5(c49,X3))
| ~ p45(f20(c52,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p46_78) ).
cnf(not_p48_29,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p48_29) ).
cnf(p45_27,negated_conjecture,
p45(f20(c52,c50),c58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p45_27) ).
cnf(p36_11,negated_conjecture,
p36(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36_11) ).
cnf(p47_5,negated_conjecture,
p47(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_5) ).
cnf(c_0_9,negated_conjecture,
( p48(X1,X2)
| ~ p47(X3,X2)
| ~ p48(X4,X3)
| ~ p37(X4,X1) ),
p48_57 ).
cnf(c_0_10,negated_conjecture,
( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X2)),c60)
| ~ p45(f20(c52,c50),X2)
| ~ p46(f23(c53,X1),f5(c49,c50)) ),
p48_81 ).
cnf(c_0_11,negated_conjecture,
( p48(X1,X2)
| ~ p46(f23(c53,X3),f5(c49,c50))
| ~ p45(f20(c52,c50),X4)
| ~ p37(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X3)),X4)),X1)
| ~ p47(c60,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p37(f38(X1,X2),f38(X3,X4))
| ~ p36(X1,X3)
| ~ p7(X2,X4) ),
p37_67 ).
cnf(c_0_13,negated_conjecture,
( p48(f38(X1,X2),X3)
| ~ p46(f23(c53,X4),f5(c49,c50))
| ~ p45(f20(c52,c50),X5)
| ~ p36(f40(c59,c50),X1)
| ~ p47(c60,X3)
| ~ p7(f8(f11(c54,f14(f17(c55,c61),X4)),X5),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p7(f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2),X2),
p7_59 ).
cnf(c_0_15,negated_conjecture,
( p46(f23(c53,f35(X1,X2)),f5(c49,X3))
| ~ p45(f20(c52,X3),X1) ),
p46_78 ).
cnf(c_0_16,negated_conjecture,
~ p48(f38(f40(c59,c50),c58),c60),
not_p48_29 ).
cnf(c_0_17,negated_conjecture,
( p48(f38(X1,X2),X3)
| ~ p45(f20(c52,c50),X2)
| ~ p36(f40(c59,c50),X1)
| ~ p47(c60,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p45(f20(c52,c50),c58),
p45_27 ).
cnf(c_0_19,negated_conjecture,
p36(X1,X1),
p36_11 ).
cnf(c_0_20,negated_conjecture,
p47(X1,X1),
p47_5 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN706-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n027.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 08:44:20 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.38/1.74 % Version : CSE_E---1.7
% 1.38/1.74 % Problem : theBenchmark.p
% 1.38/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.38/1.74 % SZS output start CNFRefutation
% See solution above
% 1.38/1.74 % Total time : 1.372s
%------------------------------------------------------------------------------