%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ131+1 : TPTP v9.2.1. Released v4.1.0.
% 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 : n014.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 05:03:41 PM UTC 2026
% Result : Theorem 0.26s 1.61s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 63)
% Comments :
%------------------------------------------------------------------------------
fof(student_enrolled_taught,axiom,
! [X2,X3] :
( ( student(X2)
& course(X3) )
=> ( enrolled(X2,X3)
=> ! [X4] :
( professor(X4)
=> ( teaches(X4,X3)
=> taughtby(X2,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_taught) ).
fof(course_teaches,axiom,
! [X2] :
( course(X2)
=> ? [X3] :
( professor(X3)
& teaches(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',course_teaches) ).
fof(coordinator_teaches,axiom,
! [X2] :
( course(X2)
=> teaches(coordinatorof(X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_teaches) ).
fof(course_enrolled,axiom,
! [X2] :
( course(X2)
=> ? [X3] :
( student(X3)
& enrolled(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',course_enrolled) ).
fof(professor_teaches,axiom,
! [X2] :
( professor(X2)
=> ? [X3] :
( course(X3)
& teaches(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',professor_teaches) ).
fof(student_enrolled_axiom,axiom,
! [X2] :
( student(X2)
=> ? [X3] :
( course(X3)
& enrolled(X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_enrolled_axiom) ).
fof(teaching_conjecture,conjecture,
taughtby(michael,victor),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',teaching_conjecture) ).
fof(coordinator_of_type,axiom,
! [X1] :
( course(X1)
=> professor(coordinatorof(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',coordinator_of_type) ).
fof(course_type,axiom,
? [X1] : course(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',course_type) ).
fof(professor_type,axiom,
? [X1] : professor(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',professor_type) ).
fof(student_type,axiom,
? [X1] : student(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',student_type) ).
fof(michael_enrolled_csc410_axiom,axiom,
enrolled(michael,csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_enrolled_csc410_axiom) ).
fof(csc410_type,axiom,
course(csc410),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',csc410_type) ).
fof(victor_type,axiom,
professor(victor),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_type) ).
fof(michael_type,axiom,
student(michael),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',michael_type) ).
fof(victor_coordinator_csc410_axiom,axiom,
coordinatorof(csc410) = victor,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',victor_coordinator_csc410_axiom) ).
fof(i_0_16,plain,
! [X34,X35,X36] :
( ~ student(X34)
| ~ course(X35)
| ~ enrolled(X34,X35)
| ~ professor(X36)
| ~ teaches(X36,X35)
| taughtby(X34,X36) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[student_enrolled_taught])])]) ).
fof(i_0_17,plain,
! [X31] :
( ( professor(esk7_1(X31))
| ~ course(X31) )
& ( teaches(esk7_1(X31),X31)
| ~ course(X31) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[course_teaches])])])]) ).
fof(i_0_18,plain,
! [X33] :
( ~ course(X33)
| teaches(coordinatorof(X33),X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[coordinator_teaches])]) ).
fof(i_0_19,plain,
! [X29] :
( ( student(esk6_1(X29))
| ~ course(X29) )
& ( enrolled(esk6_1(X29),X29)
| ~ course(X29) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[course_enrolled])])])]) ).
fof(i_0_20,plain,
! [X27] :
( ( course(esk5_1(X27))
| ~ professor(X27) )
& ( teaches(X27,esk5_1(X27))
| ~ professor(X27) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[professor_teaches])])])]) ).
fof(i_0_21,plain,
! [X25] :
( ( course(esk4_1(X25))
| ~ student(X25) )
& ( enrolled(X25,esk4_1(X25))
| ~ student(X25) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[student_enrolled_axiom])])])]) ).
fof(i_0_22,negated_conjecture,
~ taughtby(michael,victor),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[teaching_conjecture])]) ).
fof(i_0_23,plain,
! [X24] :
( ~ course(X24)
| professor(coordinatorof(X24)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[coordinator_of_type])]) ).
fof(i_0_24,plain,
course(esk3_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[course_type])]) ).
fof(i_0_25,plain,
professor(esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[professor_type])]) ).
fof(i_0_26,plain,
student(esk1_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[student_type])]) ).
cnf(i_0_27,plain,
( taughtby(X1,X3)
| ~ student(X1)
| ~ course(X2)
| ~ enrolled(X1,X2)
| ~ professor(X3)
| ~ teaches(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_28,plain,
( teaches(esk7_1(X1),X1)
| ~ course(X1) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_29,plain,
( teaches(coordinatorof(X1),X1)
| ~ course(X1) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_30,plain,
( enrolled(esk6_1(X1),X1)
| ~ course(X1) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_31,plain,
( teaches(X1,esk5_1(X1))
| ~ professor(X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_32,plain,
( enrolled(X1,esk4_1(X1))
| ~ student(X1) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_33,negated_conjecture,
~ taughtby(michael,victor),
inference(split_conjunct,[status(thm)],[i_0_22]),
[final] ).
cnf(i_0_34,plain,
( course(esk5_1(X1))
| ~ professor(X1) ),
inference(split_conjunct,[status(thm)],[i_0_20]),
[final] ).
cnf(i_0_35,plain,
( course(esk4_1(X1))
| ~ student(X1) ),
inference(split_conjunct,[status(thm)],[i_0_21]),
[final] ).
cnf(i_0_36,plain,
( professor(esk7_1(X1))
| ~ course(X1) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_37,plain,
( professor(coordinatorof(X1))
| ~ course(X1) ),
inference(split_conjunct,[status(thm)],[i_0_23]),
[final] ).
cnf(i_0_38,plain,
( student(esk6_1(X1))
| ~ course(X1) ),
inference(split_conjunct,[status(thm)],[i_0_19]),
[final] ).
cnf(i_0_39,plain,
enrolled(michael,csc410),
inference(split_conjunct,[status(thm)],[michael_enrolled_csc410_axiom]),
[final] ).
cnf(i_0_40,plain,
course(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_24]),
[final] ).
cnf(i_0_41,plain,
course(csc410),
inference(split_conjunct,[status(thm)],[csc410_type]),
[final] ).
cnf(i_0_42,plain,
professor(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_25]),
[final] ).
cnf(i_0_43,plain,
professor(victor),
inference(split_conjunct,[status(thm)],[victor_type]),
[final] ).
cnf(i_0_44,plain,
student(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_26]),
[final] ).
cnf(i_0_45,plain,
student(michael),
inference(split_conjunct,[status(thm)],[michael_type]),
[final] ).
cnf(i_0_46,plain,
coordinatorof(csc410) = victor,
inference(split_conjunct,[status(thm)],[victor_coordinator_csc410_axiom]),
[final] ).
cnf(i_0_47,axiom,
X1 = X1 ).
cnf(i_0_48,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_49,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_50,axiom,
( X1 != X2
| coordinatorof(X1) = coordinatorof(X2) ) ).
cnf(i_0_51,axiom,
( X1 != X2
| ~ taughtby(X1,X3)
| taughtby(X2,X3) ) ).
cnf(i_0_52,axiom,
( X1 != X2
| ~ taughtby(X3,X1)
| taughtby(X3,X2) ) ).
cnf(i_0_53,axiom,
( X1 != X2
| ~ student(X1)
| student(X2) ) ).
cnf(i_0_54,axiom,
( X1 != X2
| ~ course(X1)
| course(X2) ) ).
cnf(i_0_55,axiom,
( X1 != X2
| ~ enrolled(X1,X3)
| enrolled(X2,X3) ) ).
cnf(i_0_56,axiom,
( X1 != X2
| ~ enrolled(X3,X1)
| enrolled(X3,X2) ) ).
cnf(i_0_57,axiom,
( X1 != X2
| ~ professor(X1)
| professor(X2) ) ).
cnf(i_0_58,axiom,
( X1 != X2
| ~ teaches(X1,X3)
| teaches(X2,X3) ) ).
cnf(i_0_59,axiom,
( X1 != X2
| ~ teaches(X3,X1)
| teaches(X3,X2) ) ).
cnf(i_0_47_001,axiom,
X1 = X1 ).
cnf(i_0_48_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_49_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_50_004,axiom,
( X1 != X2
| coordinatorof(X1) = coordinatorof(X2) ) ).
cnf(i_0_51_005,axiom,
( X1 != X2
| ~ taughtby(X1,X3)
| taughtby(X2,X3) ) ).
cnf(i_0_52_006,axiom,
( X1 != X2
| ~ taughtby(X3,X1)
| taughtby(X3,X2) ) ).
cnf(i_0_53_007,axiom,
( X1 != X2
| ~ student(X1)
| student(X2) ) ).
cnf(i_0_54_008,axiom,
( X1 != X2
| ~ course(X1)
| course(X2) ) ).
cnf(i_0_55_009,axiom,
( X1 != X2
| ~ enrolled(X1,X3)
| enrolled(X2,X3) ) ).
cnf(i_0_56_010,axiom,
( X1 != X2
| ~ enrolled(X3,X1)
| enrolled(X3,X2) ) ).
cnf(i_0_57_011,axiom,
( X1 != X2
| ~ professor(X1)
| professor(X2) ) ).
cnf(i_0_58_012,axiom,
( X1 != X2
| ~ teaches(X1,X3)
| teaches(X2,X3) ) ).
cnf(i_0_59_013,axiom,
( X1 != X2
| ~ teaches(X3,X1)
| teaches(X3,X2) ) ).
cnf(i_0_60,plain,
victor = coordinatorof(csc410),
inference(scs_inference,[],[i_0_46,i_0_48]) ).
cnf(i_0_61,plain,
~ taughtby(michael,coordinatorof(csc410)),
inference(scs_inference,[],[i_0_33,i_0_46,i_0_48,i_0_52]) ).
cnf(i_0_62,plain,
professor(coordinatorof(csc410)),
inference(scs_inference,[],[i_0_33,i_0_43,i_0_46,i_0_48,i_0_52,i_0_57]) ).
cnf(i_0_63,plain,
( X1 != michael
| ~ taughtby(X1,victor) ),
inference(scs_inference,[],[i_0_33,i_0_43,i_0_46,i_0_48,i_0_52,i_0_57,i_0_51]) ).
cnf(i_0_64,plain,
( student(X1)
| esk1_0 != X1 ),
inference(scs_inference,[],[i_0_33,i_0_43,i_0_44,i_0_46,i_0_48,i_0_52,i_0_57,i_0_51,i_0_53]) ).
cnf(i_0_65,plain,
( course(X1)
| esk3_0 != X1 ),
inference(scs_inference,[],[i_0_33,i_0_40,i_0_43,i_0_44,i_0_46,i_0_48,i_0_52,i_0_57,i_0_51,i_0_53,i_0_54]) ).
cnf(i_0_66,plain,
( ~ student(X1)
| ~ enrolled(X1,X2)
| ~ professor(X3)
| ~ teaches(X3,X2)
| taughtby(X1,X3)
| ~ course(X2) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_67,plain,
( ~ enrolled(esk1_0,esk3_0)
| ~ teaches(esk2_0,esk3_0)
| taughtby(esk1_0,esk2_0) ),
inference(scs_inference,[],[i_0_33,i_0_40,i_0_42,i_0_43,i_0_44,i_0_46,i_0_48,i_0_52,i_0_57,i_0_27]) ).
cnf(i_0_68,plain,
~ taughtby(michael,victor),
inference(equality_inference,[],[63]) ).
cnf(i_0_69,plain,
student(esk1_0),
inference(equality_inference,[],[64]) ).
cnf(i_0_70,plain,
course(esk3_0),
inference(equality_inference,[],[65]) ).
cnf(i_0_71,plain,
~ teaches(coordinatorof(csc410),csc410),
inference(scs_inference,[],[i_0_62,i_0_61,i_0_39,i_0_41,i_0_45,i_0_27]) ).
cnf(i_0_72,plain,
( ~ student(X1)
| ~ enrolled(X1,X2)
| ~ professor(X3)
| ~ teaches(X3,X2)
| taughtby(X1,X3)
| ~ course(X2) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_73,plain,
$false,
inference(scs_inference,[],[i_0_62,i_0_61,i_0_39,i_0_41,i_0_45,i_0_27,i_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ131+1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n014.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 01:37:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.26/1.61 % Version : CSE_E---1.7
% 0.26/1.61 % Problem : theBenchmark.p
% 0.26/1.61 % SZS status Theorem for theBenchmark.p
% 0.26/1.61 % SZS output start CNFRefutation
% See solution above
% 0.26/1.66 % Total time : 1.271s
%------------------------------------------------------------------------------