%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG380-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:56:00 AM UTC 2026
% Result : Unsatisfiable 0.15s 10.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 18 unt; 2 nHn; 11 RR)
% Number of literals : 28 ( 16 equ; 11 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 29 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_norm__not__less__zero_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_norm__not__less__zero_0) ).
cnf(cls_rcis__mult_0,axiom,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(X1,X2),c_Complex_Orcis(X3,X4),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rcis__mult_0) ).
cnf(cls_real__sqrt__mult_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__mult_0) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
cnf(cls_real__sum__of__halves_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
cnf(cls_complex__mod__rcis_0,axiom,
c_RealVector_Onorm__class_Onorm(c_Complex_Orcis(X1,X2),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_complex__mod__rcis_0) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
cnf(cls_real__abs__def_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
cnf(c_0_9,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_10,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(fof_simplification,[status(thm)],[cls_norm__not__less__zero_0]) ).
cnf(c_0_11,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
c_0_9 ).
cnf(c_0_12,axiom,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(X1,X2),c_Complex_Orcis(X3,X4),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal)),
cls_rcis__mult_0 ).
cnf(c_0_13,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
cls_real__sqrt__mult_0 ).
cnf(c_0_14,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
cls_real__sqrt__abs2_0 ).
cnf(c_0_15,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
cls_real__sum__of__halves_0 ).
cnf(c_0_16,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X2,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
c_0_10 ).
cnf(c_0_17,axiom,
c_RealVector_Onorm__class_Onorm(c_Complex_Orcis(X1,X2),tc_Complex_Ocomplex) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
cls_complex__mod__rcis_0 ).
cnf(c_0_18,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).
cnf(c_0_19,negated_conjecture,
c_Complex_Orcis(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_20,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
cls_real__abs__def_1 ).
cnf(c_0_21,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG380-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/10.38 % Computer : n002.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 13:21:14 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.52 % Version: 3.5.1
% 0.15/10.52 % Preprocessing class: FMLSSMSMSSSNFFN.
% 0.15/10.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.15/10.52 % Starting new_bool_3 with 600s (2) cores
% 0.15/10.52 % Starting new_bool_1 with 600s (2) cores
% 0.15/10.52 % Starting sh5l with 300s (1) cores
% 0.15/10.52 % new_bool_1 with pid 3373299 completed with status 0
% 0.15/10.52 % Result found by new_bool_1
% 0.15/10.52 % Preprocessing class: FMLSSMSMSSSNFFN.
% 0.15/10.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.15/10.52 % Starting new_bool_3 with 600s (2) cores
% 0.15/10.52 % Starting new_bool_1 with 600s (2) cores
% 0.15/10.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.52 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.15/10.52 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.15/10.52 % Starting SubtermCWHack with 55s (1) cores
% 0.15/10.52 % Starting new_bool_1 with 61s (1) cores
% 0.15/10.52 % new_bool_1 with pid 3373304 completed with status 0
% 0.15/10.52 % Result found by new_bool_1
% 0.15/10.52 % Preprocessing class: FMLSSMSMSSSNFFN.
% 0.15/10.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/10.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.15/10.52 % Starting new_bool_3 with 600s (2) cores
% 0.15/10.52 % Starting new_bool_1 with 600s (2) cores
% 0.15/10.52 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/10.52 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/10.52 % Search class: FGHSM-FSLM31-DFFFFFNN
% 0.15/10.52 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.15/10.52 % Starting SubtermCWHack with 55s (1) cores
% 0.15/10.52 % Starting new_bool_1 with 61s (1) cores
% 0.15/10.52 % Preprocessing time : 0.006 s
% 0.15/10.52 % Presaturation interreduction done
% 0.15/10.52
% 0.15/10.52 % Proof found!
% 0.15/10.52 % SZS status Unsatisfiable
% 0.15/10.52 % SZS output start CNFRefutation
% See solution above
% 0.15/10.52 % Parsed axioms : 1216
% 0.15/10.52 % Removed by relevancy pruning/SinE : 623
% 0.15/10.52 % Initial clauses : 593
% 0.15/10.52 % Removed in clause preprocessing : 0
% 0.15/10.52 % Initial clauses in saturation : 593
% 0.15/10.52 % Processed clauses : 683
% 0.15/10.52 % ...of these trivial : 2
% 0.15/10.52 % ...subsumed : 158
% 0.15/10.52 % ...remaining for further processing : 523
% 0.15/10.52 % Other redundant clauses eliminated : 0
% 0.15/10.52 % Clauses deleted for lack of memory : 0
% 0.15/10.52 % Backward-subsumed : 0
% 0.15/10.52 % Backward-rewritten : 4
% 0.15/10.52 % Generated clauses : 65
% 0.15/10.52 % ...of the previous two non-redundant : 52
% 0.15/10.52 % ...aggressively subsumed : 0
% 0.15/10.52 % Contextual simplify-reflections : 0
% 0.15/10.52 % Paramodulations : 62
% 0.15/10.52 % Factorizations : 0
% 0.15/10.52 % NegExts : 0
% 0.15/10.52 % Equation resolutions : 3
% 0.15/10.52 % Disequality decompositions : 0
% 0.15/10.52 % Total rewrite steps : 36
% 0.15/10.52 % ...of those cached : 15
% 0.15/10.52 % Propositional unsat checks : 0
% 0.15/10.52 % Propositional check models : 0
% 0.15/10.52 % Propositional check unsatisfiable : 0
% 0.15/10.52 % Propositional clauses : 0
% 0.15/10.52 % Propositional clauses after purity: 0
% 0.15/10.52 % Propositional unsat core size : 0
% 0.15/10.52 % Propositional preprocessing time : 0.000
% 0.15/10.52 % Propositional encoding time : 0.000
% 0.15/10.52 % Propositional solver time : 0.000
% 0.15/10.52 % Success case prop preproc time : 0.000
% 0.15/10.52 % Success case prop encoding time : 0.000
% 0.15/10.52 % Success case prop solver time : 0.000
% 0.15/10.52 % Current number of processed clauses : 75
% 0.15/10.52 % Positive orientable unit clauses : 48
% 0.15/10.52 % Positive unorientable unit clauses: 0
% 0.15/10.52 % Negative unit clauses : 9
% 0.15/10.52 % Non-unit-clauses : 18
% 0.15/10.52 % Current number of unprocessed clauses: 404
% 0.15/10.52 % ...number of literals in the above : 1244
% 0.15/10.52 % Current number of archived formulas : 0
% 0.15/10.52 % Current number of archived clauses : 448
% 0.15/10.52 % Clause-clause subsumption calls (NU) : 21214
% 0.15/10.52 % Rec. Clause-clause subsumption calls : 5388
% 0.15/10.52 % Non-unit clause-clause subsumptions : 150
% 0.15/10.52 % Unit Clause-clause subsumption calls : 27
% 0.15/10.52 % Rewrite failures with RHS unbound : 0
% 0.15/10.52 % BW rewrite match attempts : 28
% 0.15/10.52 % BW rewrite match successes : 14
% 0.15/10.52 % Condensation attempts : 0
% 0.15/10.52 % Condensation successes : 0
% 0.15/10.52 % Termbank termtop insertions : 42258
% 0.15/10.52 % Search garbage collected termcells : 3370
% 0.15/10.52
% 0.15/10.52 % -------------------------------------------------
% 0.15/10.52 % User time : 0.046 s
% 0.15/10.52 % System time : 0.011 s
% 0.15/10.52 % Total time : 0.056 s
% 0.15/10.52 % Maximum resident set size: 5272 pages
% 0.15/10.52
% 0.15/10.52 % -------------------------------------------------
% 0.15/10.52 % User time : 0.098 s
% 0.15/10.52 % System time : 0.017 s
% 0.15/10.52 % Total time : 0.114 s
% 0.15/10.52 % Maximum resident set size: 5376 pages
% 0.15/10.52 % E exiting
%------------------------------------------------------------------------------