%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN090-1.008 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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 : n010.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 05:36:07 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 29
% Syntax : Number of clauses : 89 ( 32 unt; 0 nHn; 89 RR)
% Number of literals : 196 ( 0 equ; 110 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 29 ( 28 usr; 29 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s3_type12_25,axiom,
( q_12
| ~ p_13
| ~ q_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_25) ).
cnf(t3_3,axiom,
q_14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_3) ).
cnf(s3_type11_27,axiom,
( p_13
| ~ p_14
| ~ p_15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_27) ).
cnf(t3_1,axiom,
p_14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_1) ).
cnf(t3_2,axiom,
p_15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_2) ).
cnf(s3_type11_25,axiom,
( p_12
| ~ p_13
| ~ p_14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_25) ).
cnf(s3_type12_24,axiom,
( q_11
| ~ q_12
| ~ p_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_24) ).
cnf(s3_type11_23,axiom,
( p_11
| ~ p_12
| ~ p_13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_23) ).
cnf(s3_type11_22,axiom,
( p_10
| ~ q_11
| ~ q_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_22) ).
cnf(s3_type12_21,axiom,
( q_10
| ~ p_11
| ~ q_12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_21) ).
cnf(s3_type12_19,axiom,
( q_9
| ~ p_10
| ~ q_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_19) ).
cnf(s3_type11_20,axiom,
( p_9
| ~ q_10
| ~ q_11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_20) ).
cnf(s3_type11_18,axiom,
( p_8
| ~ q_9
| ~ q_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_18) ).
cnf(s3_type12_17,axiom,
( q_8
| ~ p_9
| ~ q_10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_17) ).
cnf(s3_type12_15,axiom,
( q_7
| ~ p_8
| ~ q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_15) ).
cnf(s3_type11_16,axiom,
( p_7
| ~ q_8
| ~ q_9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_16) ).
cnf(s3_type11_12,axiom,
( p_5
| ~ q_6
| ~ q_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_12) ).
cnf(s3_type12_13,axiom,
( q_6
| ~ p_7
| ~ q_8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_13) ).
cnf(s3_type12_9,axiom,
( q_4
| ~ p_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_9) ).
cnf(s3_type12_12,axiom,
( q_5
| ~ q_6
| ~ p_7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_12) ).
cnf(s3_type12_8,axiom,
( q_3
| ~ q_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_8) ).
cnf(s3_type11_10,axiom,
( p_4
| ~ q_5
| ~ q_6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_10) ).
cnf(s3_type11_6,axiom,
( p_2
| ~ q_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_6) ).
cnf(s3_type11_7,axiom,
( p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_7) ).
cnf(s3_type12_2,axiom,
( q_0
| ~ q_1
| ~ p_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_2) ).
cnf(s3_type12_3,axiom,
( q_1
| ~ p_2
| ~ q_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_3) ).
cnf(s3_type12_5,axiom,
( q_2
| ~ p_3
| ~ q_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type12_5) ).
cnf(s3_type11_2,axiom,
( p_0
| ~ q_1
| ~ q_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_type11_2) ).
cnf(s3_goal_1,negated_conjecture,
( ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_goal_1) ).
cnf(c_0_29,axiom,
( q_12
| ~ p_13
| ~ q_14 ),
s3_type12_25 ).
cnf(c_0_30,axiom,
q_14,
t3_3 ).
cnf(c_0_31,axiom,
( p_13
| ~ p_14
| ~ p_15 ),
s3_type11_27 ).
cnf(c_0_32,axiom,
p_14,
t3_1 ).
cnf(c_0_33,axiom,
p_15,
t3_2 ).
cnf(c_0_34,axiom,
( p_12
| ~ p_13
| ~ p_14 ),
s3_type11_25 ).
cnf(c_0_35,plain,
( q_12
| ~ p_13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_36,plain,
p_13,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_37,plain,
( p_12
| ~ p_13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_32])]) ).
cnf(c_0_38,axiom,
( q_11
| ~ q_12
| ~ p_13 ),
s3_type12_24 ).
cnf(c_0_39,plain,
q_12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_40,axiom,
( p_11
| ~ p_12
| ~ p_13 ),
s3_type11_23 ).
cnf(c_0_41,plain,
p_12,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_36])]) ).
cnf(c_0_42,axiom,
( p_10
| ~ q_11
| ~ q_12 ),
s3_type11_22 ).
cnf(c_0_43,plain,
q_11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_36])]),c_0_39])]) ).
cnf(c_0_44,axiom,
( q_10
| ~ p_11
| ~ q_12 ),
s3_type12_21 ).
cnf(c_0_45,plain,
p_11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_36])]),c_0_41])]) ).
cnf(c_0_46,axiom,
( q_9
| ~ p_10
| ~ q_11 ),
s3_type12_19 ).
cnf(c_0_47,plain,
p_10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_39])]),c_0_43])]) ).
cnf(c_0_48,axiom,
( p_9
| ~ q_10
| ~ q_11 ),
s3_type11_20 ).
cnf(c_0_49,plain,
q_10,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_39])]),c_0_45])]) ).
cnf(c_0_50,axiom,
( p_8
| ~ q_9
| ~ q_10 ),
s3_type11_18 ).
cnf(c_0_51,plain,
q_9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_43])]),c_0_47])]) ).
cnf(c_0_52,axiom,
( q_8
| ~ p_9
| ~ q_10 ),
s3_type12_17 ).
cnf(c_0_53,plain,
p_9,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_43])]),c_0_49])]) ).
cnf(c_0_54,axiom,
( q_7
| ~ p_8
| ~ q_9 ),
s3_type12_15 ).
cnf(c_0_55,plain,
p_8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_49])]),c_0_51])]) ).
cnf(c_0_56,axiom,
( p_7
| ~ q_8
| ~ q_9 ),
s3_type11_16 ).
cnf(c_0_57,plain,
q_8,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_49])]),c_0_53])]) ).
cnf(c_0_58,axiom,
( p_5
| ~ q_6
| ~ q_7 ),
s3_type11_12 ).
cnf(c_0_59,plain,
q_7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_51])]),c_0_55])]) ).
cnf(c_0_60,axiom,
( q_6
| ~ p_7
| ~ q_8 ),
s3_type12_13 ).
cnf(c_0_61,plain,
p_7,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_51])]),c_0_57])]) ).
cnf(c_0_62,plain,
( p_5
| ~ q_6 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]) ).
cnf(c_0_63,plain,
q_6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_57])]),c_0_61])]) ).
cnf(c_0_64,axiom,
( q_4
| ~ p_5
| ~ q_6 ),
s3_type12_9 ).
cnf(c_0_65,plain,
p_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63])]) ).
cnf(c_0_66,axiom,
( q_5
| ~ q_6
| ~ p_7 ),
s3_type12_12 ).
cnf(c_0_67,axiom,
( q_3
| ~ q_4
| ~ p_5 ),
s3_type12_8 ).
cnf(c_0_68,plain,
q_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_63])]),c_0_65])]) ).
cnf(c_0_69,axiom,
( p_4
| ~ q_5
| ~ q_6 ),
s3_type11_10 ).
cnf(c_0_70,plain,
q_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_61])]),c_0_63])]) ).
cnf(c_0_71,axiom,
( p_2
| ~ q_3
| ~ q_4 ),
s3_type11_6 ).
cnf(c_0_72,plain,
q_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_65])]),c_0_68])]) ).
cnf(c_0_73,axiom,
( p_3
| ~ p_4
| ~ p_5 ),
s3_type11_7 ).
cnf(c_0_74,plain,
p_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_63])]),c_0_70])]) ).
cnf(c_0_75,axiom,
( q_0
| ~ q_1
| ~ p_2 ),
s3_type12_2 ).
cnf(c_0_76,plain,
p_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_68])]),c_0_72])]) ).
cnf(c_0_77,axiom,
( q_1
| ~ p_2
| ~ q_3 ),
s3_type12_3 ).
cnf(c_0_78,axiom,
( q_2
| ~ p_3
| ~ q_4 ),
s3_type12_5 ).
cnf(c_0_79,plain,
p_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_65])]),c_0_74])]) ).
cnf(c_0_80,plain,
( q_0
| ~ q_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76])]) ).
cnf(c_0_81,plain,
q_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_72])]),c_0_76])]) ).
cnf(c_0_82,axiom,
( p_0
| ~ q_1
| ~ q_2 ),
s3_type11_2 ).
cnf(c_0_83,plain,
q_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_68])]),c_0_79])]) ).
cnf(c_0_84,negated_conjecture,
( ~ p_0
| ~ q_0 ),
s3_goal_1 ).
cnf(c_0_85,plain,
q_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).
cnf(c_0_86,plain,
( p_0
| ~ q_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_87,negated_conjecture,
~ p_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_88,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_81])]),c_0_87]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN090-1.008 : TPTP v9.2.1. Bugfixed v1.2.1.
% 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
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 08:12:51 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % 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 : 1.372s
%------------------------------------------------------------------------------