%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN036-3 : TPTP v9.2.1. Released v1.0.0.
% 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 : n003.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 05:35:51 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of clauses : 99 ( 7 unt; 30 nHn; 75 RR)
% Number of literals : 251 ( 0 equ; 112 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 51 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_18,negated_conjecture,
( q(X1)
| ~ n5(X1)
| ~ q(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_22,negated_conjecture,
( q(s3)
| ~ n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_14,negated_conjecture,
( n5(s6)
| ~ n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_17,negated_conjecture,
( q(X2)
| ~ n5(X1)
| ~ q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_13,negated_conjecture,
( n6
| ~ n5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_21,negated_conjecture,
( n3
| ~ q(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_16,negated_conjecture,
( q(X1)
| q(s5(X1))
| n5(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_15,negated_conjecture,
( n5(X1)
| ~ q(X1)
| ~ q(s5(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_20,negated_conjecture,
( q(X1)
| ~ n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_30,negated_conjecture,
( n3
| n4
| n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_31,negated_conjecture,
( n4
| ~ n3
| ~ n9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_4,negated_conjecture,
( n2
| n9
| n6
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_7,negated_conjecture,
( n2
| n10
| ~ n9
| ~ n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_29,negated_conjecture,
( n9
| ~ n3
| ~ n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
cnf(clause_19,negated_conjecture,
( n4
| ~ q(s4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_28,negated_conjecture,
( p(X1)
| ~ n1(X1)
| ~ p(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_24,negated_conjecture,
( n1(s2)
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_27,negated_conjecture,
( p(X2)
| ~ n1(X1)
| ~ p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_12,negated_conjecture,
( p(s7)
| ~ n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_34,negated_conjecture,
( n7
| n8
| n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_10,negated_conjecture,
( p(X1)
| ~ n8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_11,negated_conjecture,
( n7
| ~ p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_26,negated_conjecture,
( p(X1)
| p(s1(X1))
| n1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_33,negated_conjecture,
( n10
| ~ n7
| ~ n8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
cnf(clause_23,negated_conjecture,
( n2
| ~ n1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_25,negated_conjecture,
( n1(X1)
| ~ p(X1)
| ~ p(s1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_9,negated_conjecture,
( n8
| ~ p(s8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_35,negated_conjecture,
( n8
| ~ n7
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
cnf(clause_6,negated_conjecture,
( n9
| n6
| ~ n2
| ~ n10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(c_0_30,negated_conjecture,
( q(X1)
| ~ n5(X1)
| ~ q(X2) ),
clause_18 ).
cnf(c_0_31,negated_conjecture,
( q(s3)
| ~ n3 ),
clause_22 ).
cnf(c_0_32,negated_conjecture,
( q(X1)
| ~ n3
| ~ n5(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_33,negated_conjecture,
( n5(s6)
| ~ n6 ),
clause_14 ).
cnf(c_0_34,negated_conjecture,
( q(X2)
| ~ n5(X1)
| ~ q(X1) ),
clause_17 ).
cnf(c_0_35,negated_conjecture,
( q(s6)
| ~ n3
| ~ n6 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( n6
| ~ n5(X1) ),
clause_13 ).
cnf(c_0_37,negated_conjecture,
( n3
| ~ q(X1) ),
clause_21 ).
cnf(c_0_38,negated_conjecture,
( q(X1)
| q(s5(X1))
| n5(X1) ),
clause_16 ).
cnf(c_0_39,negated_conjecture,
( n5(X1)
| ~ q(X1)
| ~ q(s5(X1)) ),
clause_15 ).
cnf(c_0_40,negated_conjecture,
( q(X1)
| ~ n4 ),
clause_20 ).
cnf(c_0_41,negated_conjecture,
( q(X1)
| ~ n3
| ~ n5(s6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_42,negated_conjecture,
( n3
| n4
| n9 ),
clause_30 ).
cnf(c_0_43,negated_conjecture,
( n3
| n5(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( n5(X1)
| ~ n4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( q(X1)
| n9
| ~ n5(s6) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( n4
| ~ n3
| ~ n9 ),
clause_31 ).
cnf(c_0_47,negated_conjecture,
( n3
| n6 ),
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( n6
| ~ n4 ),
inference(spm,[status(thm)],[c_0_36,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
( q(X1)
| n9
| ~ n6 ),
inference(spm,[status(thm)],[c_0_45,c_0_33]) ).
cnf(c_0_50,negated_conjecture,
( n2
| n9
| n6
| n10 ),
clause_4 ).
cnf(c_0_51,negated_conjecture,
( n2
| n10
| ~ n9
| ~ n6 ),
clause_7 ).
cnf(c_0_52,negated_conjecture,
( n6
| ~ n9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( n9
| ~ n3
| ~ n4 ),
clause_29 ).
cnf(c_0_54,negated_conjecture,
( n3
| ~ n4 ),
inference(spm,[status(thm)],[c_0_37,c_0_40]) ).
cnf(c_0_55,negated_conjecture,
( n4
| ~ q(s4) ),
clause_19 ).
cnf(c_0_56,negated_conjecture,
( q(X1)
| n10
| n9
| n2 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( n10
| n2
| ~ n9 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( p(X1)
| ~ n1(X1)
| ~ p(X2) ),
clause_28 ).
cnf(c_0_59,negated_conjecture,
( n1(s2)
| ~ n2 ),
clause_24 ).
cnf(c_0_60,negated_conjecture,
( n9
| ~ n4 ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( n4
| n10
| n2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( p(s2)
| ~ p(X1)
| ~ n2 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
( n10
| n2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( p(X2)
| ~ n1(X1)
| ~ p(X1) ),
clause_27 ).
cnf(c_0_65,negated_conjecture,
( p(s2)
| n10
| ~ p(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
( p(s7)
| ~ n7 ),
clause_12 ).
cnf(c_0_67,negated_conjecture,
( p(X1)
| ~ p(s2)
| ~ n2 ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( p(s2)
| n10
| ~ n7 ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( n7
| n8
| n10 ),
clause_34 ).
cnf(c_0_70,negated_conjecture,
( p(X1)
| ~ n8 ),
clause_10 ).
cnf(c_0_71,negated_conjecture,
( n7
| ~ p(X1) ),
clause_11 ).
cnf(c_0_72,negated_conjecture,
( p(X1)
| p(s1(X1))
| n1(X1) ),
clause_26 ).
cnf(c_0_73,negated_conjecture,
( p(X1)
| n10
| ~ p(s2) ),
inference(spm,[status(thm)],[c_0_67,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
( p(s2)
| n10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( n10
| ~ n7
| ~ n8 ),
clause_33 ).
cnf(c_0_76,negated_conjecture,
( n7
| ~ n8 ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
( n2
| ~ n1(X1) ),
clause_23 ).
cnf(c_0_78,negated_conjecture,
( n1(X1)
| n7 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( n1(X1)
| ~ p(X1)
| ~ p(s1(X1)) ),
clause_25 ).
cnf(c_0_80,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
clause_1 ).
cnf(c_0_81,negated_conjecture,
( n8
| ~ p(s8) ),
clause_9 ).
cnf(c_0_82,negated_conjecture,
( p(X1)
| n10 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
( n10
| ~ n8 ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( n8
| ~ n7
| ~ n10 ),
clause_35 ).
cnf(c_0_85,negated_conjecture,
( n7
| n2 ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
( n1(X1)
| ~ n8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_70]),c_0_70]) ).
cnf(c_0_87,negated_conjecture,
( ~ n10
| ~ n9
| ~ n2 ),
inference(spm,[status(thm)],[c_0_80,c_0_52]) ).
cnf(c_0_88,negated_conjecture,
n10,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( n8
| n2
| ~ n10 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( n2
| ~ n8 ),
inference(spm,[status(thm)],[c_0_77,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( ~ n9
| ~ n2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_92,negated_conjecture,
n2,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_88])]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( n9
| n6
| ~ n2
| ~ n10 ),
clause_6 ).
cnf(c_0_94,negated_conjecture,
~ n9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_95,negated_conjecture,
n6,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_88])]),c_0_92])]),c_0_94]) ).
cnf(c_0_96,negated_conjecture,
q(X1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_95])]),c_0_94]) ).
cnf(c_0_97,negated_conjecture,
n4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_96])]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_97])]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN036-3 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.17/0.33 % Computer : n003.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 08:04:56 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------