%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN580-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n009.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 05:39:41 PM UTC 2026
% Result : Unsatisfiable 19.66s 11.84s
% Output : CNFRefutation 19.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 18
% Syntax : Number of clauses : 71 ( 18 unt; 16 nHn; 58 RR)
% Number of literals : 174 ( 0 equ; 89 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 121 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_14,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_14) ).
cnf(p4_11,negated_conjecture,
( p4(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_11) ).
cnf(p2_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_15) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p9_17,negated_conjecture,
( p9(c12,f5(X1))
| p8(c12,X2,X1)
| ~ p9(c12,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_17) ).
cnf(p9_6,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_6) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(p9_19,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p4(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_19) ).
cnf(not_p8_8,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_8) ).
cnf(p2_10,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(p9_18,negated_conjecture,
( p9(c12,f6(X1))
| p8(c12,X2,f3(X1))
| ~ p9(c12,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_18) ).
cnf(p8_21,negated_conjecture,
( p8(c12,X1,X2)
| ~ p9(c12,X1)
| ~ p8(c12,f5(X2),f3(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_21) ).
cnf(p8_23,negated_conjecture,
( p8(X1,X2,X3)
| ~ p2(X4,X3)
| ~ p4(X5,X2)
| ~ p7(X6,X1)
| ~ p8(X6,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_23) ).
cnf(p8_22,negated_conjecture,
( p8(c12,X1,f3(X2))
| ~ p9(c12,X1)
| ~ p8(c12,f6(X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_22) ).
cnf(p8_16,negated_conjecture,
( p8(c12,X1,X2)
| ~ p11(X2,c16)
| ~ p9(c12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_16) ).
cnf(p11_5,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_5) ).
cnf(c_0_18,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_14 ).
cnf(c_0_19,negated_conjecture,
( p4(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p4_11 ).
cnf(c_0_20,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_15 ).
cnf(c_0_21,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_22,negated_conjecture,
( p4(X1,f5(X2))
| ~ p2(X3,X2)
| ~ p4(f5(X3),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
p2(c14,f3(c15)),
p2_7 ).
cnf(c_0_25,negated_conjecture,
( p9(c12,f5(X1))
| p8(c12,X2,X1)
| ~ p9(c12,X2) ),
p9_17 ).
cnf(c_0_26,negated_conjecture,
p9(c12,c13),
p9_6 ).
cnf(c_0_27,negated_conjecture,
p4(X1,X1),
p4_3 ).
cnf(c_0_28,negated_conjecture,
( p4(f5(X1),f5(X2))
| ~ p2(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_29,negated_conjecture,
p2(f3(c15),c14),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p4(X4,X2) ),
p9_19 ).
cnf(c_0_31,negated_conjecture,
( p8(c12,c13,X1)
| p9(c12,f5(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( p4(f5(X1),f5(c14))
| ~ p2(f3(c15),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( p8(c12,c13,X1)
| p9(X2,X3)
| ~ p4(f5(X1),X3)
| ~ p7(c12,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( p4(f5(c14),f5(X1))
| ~ p2(f3(c15),X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
~ p8(c12,c13,c14),
not_p8_8 ).
cnf(c_0_37,negated_conjecture,
( p9(X1,f5(X2))
| ~ p2(f3(c15),X2)
| ~ p7(c12,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_38,negated_conjecture,
( p2(X1,c14)
| ~ p2(f3(c15),X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
cnf(c_0_39,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_10 ).
cnf(c_0_40,negated_conjecture,
( p9(X1,X2)
| ~ p2(f3(c15),X3)
| ~ p4(f5(X3),X2)
| ~ p7(c12,X4)
| ~ p7(X4,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( p2(f3(X1),c14)
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( p9(X1,X2)
| ~ p4(f5(c14),X2)
| ~ p7(c12,X3)
| ~ p7(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_21])]) ).
cnf(c_0_43,negated_conjecture,
( p9(X1,f5(c14))
| ~ p7(c12,X2)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_44,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_45,negated_conjecture,
( p9(c12,f6(X1))
| p8(c12,X2,f3(X1))
| ~ p9(c12,X2) ),
p9_18 ).
cnf(c_0_46,negated_conjecture,
( p9(X1,f5(c14))
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( p8(c12,X1,X2)
| ~ p9(c12,X1)
| ~ p8(c12,f5(X2),f3(X2)) ),
p8_21 ).
cnf(c_0_48,negated_conjecture,
( p8(c12,f5(c14),f3(X1))
| p9(c12,f6(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_44])]) ).
cnf(c_0_49,negated_conjecture,
( p8(c12,X1,c14)
| p9(c12,f6(c14))
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,negated_conjecture,
p9(c12,f6(c14)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_26]),c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( p8(X1,X2,X3)
| ~ p2(X4,X3)
| ~ p4(X5,X2)
| ~ p7(X6,X1)
| ~ p8(X6,X5,X4) ),
p8_23 ).
cnf(c_0_52,negated_conjecture,
( p8(c12,f6(c14),f3(X1))
| p9(c12,f6(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( p8(X1,X2,X3)
| p9(c12,f6(X4))
| ~ p2(f3(X4),X3)
| ~ p4(f6(c14),X2)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,negated_conjecture,
( p8(X1,f6(c14),X2)
| p9(c12,f6(X3))
| ~ p2(f3(X3),X2)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_27]) ).
cnf(c_0_55,negated_conjecture,
( p8(X1,f6(c14),c14)
| p9(c12,f6(c15))
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_29]) ).
cnf(c_0_56,negated_conjecture,
( p8(c12,X1,f3(X2))
| ~ p9(c12,X1)
| ~ p8(c12,f6(X2),X2) ),
p8_22 ).
cnf(c_0_57,negated_conjecture,
( p8(c12,f6(c14),c14)
| p9(c12,f6(c15)) ),
inference(spm,[status(thm)],[c_0_55,c_0_44]) ).
cnf(c_0_58,negated_conjecture,
( p8(c12,X1,f3(c14))
| p9(c12,f6(c15))
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,negated_conjecture,
( p8(c12,f5(c14),f3(c14))
| p9(c12,f6(c15)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_46]),c_0_44])]) ).
cnf(c_0_60,negated_conjecture,
( p8(c12,X1,c14)
| p9(c12,f6(c15))
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_59]) ).
cnf(c_0_61,negated_conjecture,
( p8(c12,X1,X2)
| ~ p11(X2,c16)
| ~ p9(c12,X1) ),
p8_16 ).
cnf(c_0_62,negated_conjecture,
p9(c12,f6(c15)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_26]),c_0_36]) ).
cnf(c_0_63,negated_conjecture,
( p8(c12,f6(c15),X1)
| ~ p11(X1,c16) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_64,negated_conjecture,
p11(c15,c16),
p11_5 ).
cnf(c_0_65,negated_conjecture,
( p8(c12,X1,f3(c15))
| ~ p9(c12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_63]),c_0_64])]) ).
cnf(c_0_66,negated_conjecture,
( p8(X1,X2,X3)
| ~ p9(c12,X4)
| ~ p2(f3(c15),X3)
| ~ p4(X4,X2)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( p8(X1,X2,c14)
| ~ p9(c12,X3)
| ~ p4(X3,X2)
| ~ p7(c12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_41]),c_0_21])]) ).
cnf(c_0_68,negated_conjecture,
( p8(X1,X2,c14)
| ~ p4(c13,X2)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_26]) ).
cnf(c_0_69,negated_conjecture,
( p8(X1,c13,c14)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_27]) ).
cnf(c_0_70,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_44]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN580-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.10 % 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
% 0.12/0.30 % Computer : n009.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue May 5 08:40:56 EDT 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.31 % start to proof: theBenchmark
% 19.66/11.84 % Version : CSE_E---1.7
% 19.66/11.84 % Problem : theBenchmark.p
% 19.66/11.84 % SZS status Unsatisfiable for theBenchmark.p
% 19.66/11.84 % SZS output start CNFRefutation
% See solution above
% 19.66/11.90 % Total time : 9.381s
%------------------------------------------------------------------------------