%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN650-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 03:25:48 PM UTC 2026
% Result : Unsatisfiable 85.81s 12.97s
% Output : CNFRefutation 85.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 47 ( 23 unt; 10 nHn; 35 RR)
% Number of literals : 108 ( 0 equ; 52 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p8_18,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
cnf(p8_2,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
cnf(p8_44,negated_conjecture,
( ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| p24(f21(X2,X3,X4,X5,X1),f20(f11(X2,f12(X3,X4))))
| p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_44) ).
cnf(p8_35,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_35) ).
cnf(p22_8,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_8) ).
cnf(p25_25,negated_conjecture,
( ~ p25(X3,X4)
| ~ p8(X4,X2)
| ~ p8(X3,X1)
| p25(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_25) ).
cnf(p8_38,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_38) ).
cnf(p25_40,negated_conjecture,
( ~ p24(X5,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p25(f16(f17(X1,f9(f11(X2,f12(X3,X4)),c31,X1))),f16(f17(X1,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_40) ).
cnf(f18_is_not_p23_34,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f18_is_not_p23_34) ).
cnf(p24_10,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_10) ).
cnf(not_p8_24,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p8_24) ).
cnf(p8_45,negated_conjecture,
( ~ p25(f16(f17(X5,X1)),f16(f17(X5,f21(X2,X3,X4,X5,X1))))
| ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_45) ).
cnf(c_0_12,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
inference(fof_simplification,[status(thm)],[p8_18]) ).
cnf(c_0_13,negated_conjecture,
( ~ p8(X3,X2)
| ~ p8(X3,X1)
| p8(X1,X2) ),
c_0_12 ).
cnf(c_0_14,negated_conjecture,
p8(X1,X1),
p8_2 ).
cnf(c_0_15,negated_conjecture,
( ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| p24(f21(X2,X3,X4,X5,X1),f20(f11(X2,f12(X3,X4))))
| p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5)) ),
inference(fof_simplification,[status(thm)],[p8_44]) ).
cnf(c_0_16,negated_conjecture,
( ~ p8(X2,X1)
| p8(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p8(f16(f17(c32,c33)),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
p8_35 ).
cnf(c_0_18,negated_conjecture,
( ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| p24(f21(X2,X3,X4,X5,X1),f20(f11(X2,f12(X3,X4))))
| p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5)) ),
c_0_15 ).
cnf(c_0_19,negated_conjecture,
p22(f3(f4(f5(c26))),c27),
p22_8 ).
cnf(c_0_20,negated_conjecture,
( ~ p25(X3,X4)
| ~ p8(X4,X2)
| ~ p8(X3,X1)
| p25(X1,X2) ),
inference(fof_simplification,[status(thm)],[p25_25]) ).
cnf(c_0_21,negated_conjecture,
p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,c33))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26)))))),
p8_38 ).
cnf(c_0_23,negated_conjecture,
( ~ p24(X5,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p25(f16(f17(X1,f9(f11(X2,f12(X3,X4)),c31,X1))),f16(f17(X1,X5))) ),
inference(fof_simplification,[status(thm)],[p25_40]) ).
cnf(c_0_24,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
inference(fof_simplification,[status(thm)],[f18_is_not_p23_34]) ).
cnf(c_0_25,negated_conjecture,
( ~ p24(X4,f20(f11(X1,f12(c27,X2))))
| p8(X4,f9(f11(X1,f12(c27,X2)),c31,X3))
| p23(f18(f11(X1,f12(c27,X2)),f9(f11(X1,f12(c27,X2)),c31,X3)))
| p24(f21(X1,c27,X2,X3,X4),f20(f11(X1,f12(c27,X2)))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
p24(c33,f20(f11(c29,f12(c27,c30)))),
p24_10 ).
cnf(c_0_27,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
inference(fof_simplification,[status(thm)],[not_p8_24]) ).
cnf(c_0_28,negated_conjecture,
( ~ p25(f16(f17(X5,X1)),f16(f17(X5,f21(X2,X3,X4,X5,X1))))
| ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5)) ),
inference(fof_simplification,[status(thm)],[p8_45]) ).
cnf(c_0_29,negated_conjecture,
( ~ p25(X3,X4)
| ~ p8(X4,X2)
| ~ p8(X3,X1)
| p25(X1,X2) ),
c_0_20 ).
cnf(c_0_30,negated_conjecture,
( ~ p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),X1)
| p8(X1,f16(f17(c32,c33))) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
p8(f13(f15(f11(c29,f12(c27,c30)),c32),f14(f3(f4(f5(c26))))),f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32)))),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( ~ p24(X5,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p25(f16(f17(X1,f9(f11(X2,f12(X3,X4)),c31,X1))),f16(f17(X1,X5))) ),
c_0_23 ).
cnf(c_0_33,negated_conjecture,
~ p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,c32))),
c_0_24 ).
cnf(c_0_34,negated_conjecture,
( p8(c33,f9(f11(c29,f12(c27,c30)),c31,X1))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X1)))
| p24(f21(c29,c27,c30,X1,c33),f20(f11(c29,f12(c27,c30)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
~ p8(c33,f9(f11(c29,f12(c27,c30)),c31,c32)),
c_0_27 ).
cnf(c_0_36,negated_conjecture,
( ~ p25(f16(f17(X5,X1)),f16(f17(X5,f21(X2,X3,X4,X5,X1))))
| ~ p24(X1,f20(f11(X2,f12(X3,X4))))
| ~ p22(f3(f4(f5(c26))),X3)
| p23(f18(f11(X2,f12(X3,X4)),f9(f11(X2,f12(X3,X4)),c31,X5)))
| p8(X1,f9(f11(X2,f12(X3,X4)),c31,X5)) ),
c_0_28 ).
cnf(c_0_37,negated_conjecture,
( ~ p8(X3,X1)
| ~ p25(X3,X2)
| p25(X1,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_38,negated_conjecture,
p8(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),f16(f17(c32,c33))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( ~ p24(X4,f20(f11(X2,f12(c27,X3))))
| p25(f16(f17(X1,f9(f11(X2,f12(c27,X3)),c31,X1))),f16(f17(X1,X4))) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_40,negated_conjecture,
p24(f21(c29,c27,c30,c32,c33),f20(f11(c29,f12(c27,c30)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( ~ p24(X4,f20(f11(X1,f12(c27,X2))))
| ~ p25(f16(f17(X3,X4)),f16(f17(X3,f21(X1,c27,X2,X3,X4))))
| p8(X4,f9(f11(X1,f12(c27,X2)),c31,X3))
| p23(f18(f11(X1,f12(c27,X2)),f9(f11(X1,f12(c27,X2)),c31,X3))) ),
inference(spm,[status(thm)],[c_0_36,c_0_19]) ).
cnf(c_0_42,negated_conjecture,
( ~ p25(f16(f17(c32,f9(f11(c29,f12(c27,c30)),c31,c32))),X1)
| p25(f16(f17(c32,c33)),X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
p25(f16(f17(X1,f9(f11(c29,f12(c27,c30)),c31,X1))),f16(f17(X1,f21(c29,c27,c30,c32,c33)))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( ~ p25(f16(f17(X1,c33)),f16(f17(X1,f21(c29,c27,c30,X1,c33))))
| p8(c33,f9(f11(c29,f12(c27,c30)),c31,X1))
| p23(f18(f11(c29,f12(c27,c30)),f9(f11(c29,f12(c27,c30)),c31,X1))) ),
inference(spm,[status(thm)],[c_0_41,c_0_26]) ).
cnf(c_0_45,negated_conjecture,
p25(f16(f17(c32,c33)),f16(f17(c32,f21(c29,c27,c30,c32,c33)))),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_33]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN650-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:09:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 85.81/12.97 % Version: 3.5.1
% 85.81/12.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 85.81/12.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.81/12.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 85.81/12.97 % Starting new_bool_3 with 300s (1) cores
% 85.81/12.97 % Starting new_bool_1 with 300s (1) cores
% 85.81/12.97 % Starting sh5l with 300s (1) cores
% 85.81/12.97 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 941668 completed with status 0
% 85.81/12.97 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 85.81/12.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 85.81/12.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.81/12.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 85.81/12.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 85.81/12.97 % No SInE strategy applied
% 85.81/12.97 % Search class: FGUNM-FFMS31-MFFFFFNN
% 85.81/12.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 85.81/12.97 % Starting SubtermCWHack with 136s (1) cores
% 85.81/12.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 85.81/12.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 85.81/12.97 % Starting new_bool_3 with 136s (1) cores
% 85.81/12.97 % Starting new_bool_1 with 136s (1) cores
% 85.81/12.97 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with pid 941675 completed with status 0
% 85.81/12.97 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S
% 85.81/12.97 % Preprocessing class: FSLSSMSMSSSNFFN.
% 85.81/12.97 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 85.81/12.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 85.81/12.97 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 85.81/12.97 % No SInE strategy applied
% 85.81/12.97 % Search class: FGUNM-FFMS31-MFFFFFNN
% 85.81/12.97 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 85.81/12.97 % Starting SubtermCWHack with 136s (1) cores
% 85.81/12.97 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 85.81/12.97 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 85.81/12.97 % Preprocessing time : 0.002 s
% 85.81/12.97 % Presaturation interreduction done
% 85.81/12.97
% 85.81/12.97 % Proof found!
% 85.81/12.97 % SZS status Unsatisfiable
% 85.81/12.97 % SZS output start CNFRefutation
% See solution above
% 85.81/12.97 % Parsed axioms : 45
% 85.81/12.97 % Removed by relevancy pruning/SinE : 0
% 85.81/12.97 % Initial clauses : 45
% 85.81/12.97 % Removed in clause preprocessing : 0
% 85.81/12.97 % Initial clauses in saturation : 45
% 85.81/12.97 % Processed clauses : 10874
% 85.81/12.97 % ...of these trivial : 2119
% 85.81/12.97 % ...subsumed : 330
% 85.81/12.97 % ...remaining for further processing : 8425
% 85.81/12.97 % Other redundant clauses eliminated : 0
% 85.81/12.97 % Clauses deleted for lack of memory : 0
% 85.81/12.97 % Backward-subsumed : 351
% 85.81/12.97 % Backward-rewritten : 270
% 85.81/12.97 % Generated clauses : 892768
% 85.81/12.97 % ...of the previous two non-redundant : 885014
% 85.81/12.97 % ...aggressively subsumed : 0
% 85.81/12.97 % Contextual simplify-reflections : 0
% 85.81/12.97 % Paramodulations : 892768
% 85.81/12.97 % Factorizations : 0
% 85.81/12.97 % NegExts : 0
% 85.81/12.97 % Equation resolutions : 0
% 85.81/12.97 % Disequality decompositions : 0
% 85.81/12.97 % Total rewrite steps : 10140
% 85.81/12.97 % ...of those cached : 4187
% 85.81/12.97 % Propositional unsat checks : 1
% 85.81/12.97 % Propositional check models : 0
% 85.81/12.97 % Propositional check unsatisfiable : 0
% 85.81/12.97 % Propositional clauses : 0
% 85.81/12.97 % Propositional clauses after purity: 0
% 85.81/12.97 % Propositional unsat core size : 0
% 85.81/12.97 % Propositional preprocessing time : 0.000
% 85.81/12.97 % Propositional encoding time : 0.621
% 85.81/12.97 % Propositional solver time : 0.765
% 85.81/12.97 % Success case prop preproc time : 0.000
% 85.81/12.97 % Success case prop encoding time : 0.000
% 85.81/12.97 % Success case prop solver time : 0.000
% 85.81/12.97 % Current number of processed clauses : 7759
% 85.81/12.97 % Positive orientable unit clauses : 3178
% 85.81/12.97 % Positive unorientable unit clauses: 0
% 85.81/12.97 % Negative unit clauses : 3
% 85.81/12.97 % Non-unit-clauses : 4578
% 85.81/12.97 % Current number of unprocessed clauses: 873475
% 85.81/12.97 % ...number of literals in the above : 900427
% 85.81/12.97 % Current number of archived formulas : 0
% 85.81/12.97 % Current number of archived clauses : 666
% 85.81/12.97 % Clause-clause subsumption calls (NU) : 3177321
% 85.81/12.97 % Rec. Clause-clause subsumption calls : 1429114
% 85.81/12.97 % Non-unit clause-clause subsumptions : 681
% 85.81/12.97 % Unit Clause-clause subsumption calls : 71909
% 85.81/12.97 % Rewrite failures with RHS unbound : 0
% 85.81/12.97 % BW rewrite match attempts : 385181
% 85.81/12.97 % BW rewrite match successes : 270
% 85.81/12.97 % Condensation attempts : 0
% 85.81/12.97 % Condensation successes : 0
% 85.81/12.97 % Termbank termtop insertions : 40849475
% 85.81/12.97 % Search garbage collected termcells : 154
% 85.81/12.97
% 85.81/12.97 % -------------------------------------------------
% 85.81/12.97 % User time : 11.342 s
% 85.81/12.97 % System time : 0.664 s
% 85.81/12.97 % Total time : 12.005 s
% 85.81/12.97 % Maximum resident set size: 3688 pages
% 85.81/12.97
% 85.81/12.97 % -------------------------------------------------
% 85.81/12.97 % User time : 58.444 s
% 85.81/12.97 % System time : 2.763 s
% 85.81/12.97 % Total time : 61.206 s
% 85.81/12.97 % Maximum resident set size: 4608 pages
% 85.81/12.97 % E exiting
%------------------------------------------------------------------------------