%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN578-1 : 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 : n021.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 05:39:40 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.73s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 19 unt; 3 nHn; 34 RR)
% Number of literals : 86 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_8,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_14,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(p9_20,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
cnf(p9_11,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_22,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
cnf(not_p11_23,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
cnf(c_0_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_15,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
p3_8 ).
cnf(c_0_16,negated_conjecture,
( p3(X1,f4(X2))
| ~ p3(f4(f5(X2)),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_14 ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_18 ).
cnf(c_0_19,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_20,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(f5(X2),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
p2(c16,f5(c14)),
p2_7 ).
cnf(c_0_23,negated_conjecture,
( p3(X1,f4(X2))
| ~ p2(f5(X2),X3)
| ~ p3(f4(X3),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p2(f5(c14),c16),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
p9_20 ).
cnf(c_0_26,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
p9_11 ).
cnf(c_0_27,negated_conjecture,
( p3(X1,f4(c14))
| ~ p3(f4(c16),X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_29,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,c13)
| ~ p3(f4(c16),X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p3(f4(c16),f4(c14)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
p9_22 ).
cnf(c_0_32,negated_conjecture,
p11(c14,c15),
p11_6 ).
cnf(c_0_33,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X2,c13)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_35,negated_conjecture,
( p9(f8(X1,c14),f4(c14))
| p9(f8(X1,c14),X1)
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X1,c13) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
p9(c12,c13),
p9_5 ).
cnf(c_0_38,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
not_p11_23 ).
cnf(c_0_39,negated_conjecture,
p9(f8(f4(c14),c14),f4(c14)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
~ p9(c12,f4(c14)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_32]),c_0_39])]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN578-1 : 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 : n021.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 08:40:55 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.371s
%------------------------------------------------------------------------------