%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 03:14:19 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 30 ( 30 unt; 0 nHn; 7 RR)
% Number of literals : 30 ( 29 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-4 aty)
% Number of variables : 51 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_019,axiom,
tc(X1,var(X2),X3) = aux(X1,X3,X2,index(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_019) ).
cnf(axiom_005,axiom,
index(cons(X1,X2),zero) = just(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
cnf(axiom_001,axiom,
aux(X1,X2,X3,just(X4)) = eq(X4,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_001) ).
cnf(axiom_015,axiom,
tc(X1,lam(X2),arr(X3,X4)) = tc(cons(X3,X1),X2,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
cnf(goal,negated_conjecture,
eq4(sat_synth_nf_k(X1),bfalse) != btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(axiom_020,axiom,
sat_synth_nf_k(X1) = notb(andb(nf(X1),tc(nil,X1,arr(a,arr(b,b))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
cnf(axiom_012,axiom,
nf(lam(X1)) = nf(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_012) ).
cnf(axiom_013,axiom,
nf(var(X1)) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
cnf(axiom_051,axiom,
eq(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).
cnf(axiom_007,axiom,
andb(btrue,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
cnf(axiom_002,axiom,
notb(btrue) = bfalse,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_002) ).
cnf(axiom_054,axiom,
eq4(X1,X1) = btrue,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_054) ).
cnf(c_0_12,axiom,
tc(X1,var(X2),X3) = aux(X1,X3,X2,index(X1,X2)),
axiom_019 ).
cnf(c_0_13,axiom,
index(cons(X1,X2),zero) = just(X1),
axiom_005 ).
cnf(c_0_14,axiom,
aux(X1,X2,X3,just(X4)) = eq(X4,X2),
axiom_001 ).
cnf(c_0_15,plain,
tc(cons(X1,X2),var(zero),X3) = eq(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_16,axiom,
tc(X1,lam(X2),arr(X3,X4)) = tc(cons(X3,X1),X2,X4),
axiom_015 ).
cnf(c_0_17,plain,
tc(X1,lam(var(zero)),arr(X2,X3)) = eq(X2,X3),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
eq4(sat_synth_nf_k(X1),bfalse) != btrue,
inference(fof_simplification,[status(thm)],[goal]) ).
cnf(c_0_19,axiom,
sat_synth_nf_k(X1) = notb(andb(nf(X1),tc(nil,X1,arr(a,arr(b,b))))),
axiom_020 ).
cnf(c_0_20,plain,
tc(X1,lam(lam(var(zero))),arr(X2,arr(X3,X4))) = eq(X3,X4),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
nf(lam(X1)) = nf(X1),
axiom_012 ).
cnf(c_0_22,axiom,
nf(var(X1)) = btrue,
axiom_013 ).
cnf(c_0_23,axiom,
eq(X1,X1) = btrue,
axiom_051 ).
cnf(c_0_24,axiom,
andb(btrue,X1) = X1,
axiom_007 ).
cnf(c_0_25,axiom,
notb(btrue) = bfalse,
axiom_002 ).
cnf(c_0_26,negated_conjecture,
eq4(sat_synth_nf_k(X1),bfalse) != btrue,
c_0_18 ).
cnf(c_0_27,plain,
sat_synth_nf_k(lam(lam(var(zero)))) = bfalse,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_21]),c_0_22]),c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_28,axiom,
eq4(X1,X1) = btrue,
axiom_054 ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX222-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n009.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 10:35:27 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.44 % Version: 3.5.1
% 0.12/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % sh5l with pid 1521720 completed with status 0
% 0.12/0.44 % Result found by sh5l
% 0.12/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.44 % Search class: FHUPM-FFMM31-MFFFFFNN
% 0.12/0.44 % partial match(1): FUUPM-FFMM31-MFFFFFNN
% 0.12/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.44 % SubtermCWHack with pid 1521728 completed with status 0
% 0.12/0.44 % Result found by SubtermCWHack
% 0.12/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.12/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.12/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.44 % Starting sh5l with 300s (1) cores
% 0.12/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.44 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.44 % Search class: FHUPM-FFMM31-MFFFFFNN
% 0.12/0.44 % partial match(1): FUUPM-FFMM31-MFFFFFNN
% 0.12/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.44 % Preprocessing time : 0.002 s
% 0.12/0.44
% 0.12/0.44 % Proof found!
% 0.12/0.44 % SZS status Unsatisfiable
% 0.12/0.44 % SZS output start CNFRefutation
% See solution above
% 0.12/0.44 % Parsed axioms : 56
% 0.12/0.44 % Removed by relevancy pruning/SinE : 0
% 0.12/0.44 % Initial clauses : 56
% 0.12/0.44 % Removed in clause preprocessing : 0
% 0.12/0.44 % Initial clauses in saturation : 56
% 0.12/0.44 % Processed clauses : 93
% 0.12/0.44 % ...of these trivial : 1
% 0.12/0.44 % ...subsumed : 20
% 0.12/0.44 % ...remaining for further processing : 72
% 0.12/0.44 % Other redundant clauses eliminated : 0
% 0.12/0.44 % Clauses deleted for lack of memory : 0
% 0.12/0.44 % Backward-subsumed : 0
% 0.12/0.44 % Backward-rewritten : 1
% 0.12/0.44 % Generated clauses : 57
% 0.12/0.44 % ...of the previous two non-redundant : 49
% 0.12/0.44 % ...aggressively subsumed : 0
% 0.12/0.44 % Contextual simplify-reflections : 0
% 0.12/0.44 % Paramodulations : 57
% 0.12/0.44 % Factorizations : 0
% 0.12/0.44 % NegExts : 0
% 0.12/0.44 % Equation resolutions : 0
% 0.12/0.44 % Disequality decompositions : 0
% 0.12/0.44 % Total rewrite steps : 50
% 0.12/0.44 % ...of those cached : 21
% 0.12/0.44 % Propositional unsat checks : 0
% 0.12/0.44 % Propositional check models : 0
% 0.12/0.44 % Propositional check unsatisfiable : 0
% 0.12/0.44 % Propositional clauses : 0
% 0.12/0.44 % Propositional clauses after purity: 0
% 0.12/0.44 % Propositional unsat core size : 0
% 0.12/0.44 % Propositional preprocessing time : 0.000
% 0.12/0.44 % Propositional encoding time : 0.000
% 0.12/0.44 % Propositional solver time : 0.000
% 0.12/0.44 % Success case prop preproc time : 0.000
% 0.12/0.44 % Success case prop encoding time : 0.000
% 0.12/0.44 % Success case prop solver time : 0.000
% 0.12/0.44 % Current number of processed clauses : 71
% 0.12/0.44 % Positive orientable unit clauses : 62
% 0.12/0.44 % Positive unorientable unit clauses: 0
% 0.12/0.44 % Negative unit clauses : 3
% 0.12/0.44 % Non-unit-clauses : 6
% 0.12/0.44 % Current number of unprocessed clauses: 12
% 0.12/0.44 % ...number of literals in the above : 21
% 0.12/0.44 % Current number of archived formulas : 0
% 0.12/0.44 % Current number of archived clauses : 1
% 0.12/0.44 % Clause-clause subsumption calls (NU) : 3
% 0.12/0.44 % Rec. Clause-clause subsumption calls : 3
% 0.12/0.44 % Non-unit clause-clause subsumptions : 0
% 0.12/0.44 % Unit Clause-clause subsumption calls : 5
% 0.12/0.44 % Rewrite failures with RHS unbound : 0
% 0.12/0.44 % BW rewrite match attempts : 37
% 0.12/0.44 % BW rewrite match successes : 1
% 0.12/0.44 % Condensation attempts : 0
% 0.12/0.44 % Condensation successes : 0
% 0.12/0.44 % Termbank termtop insertions : 1692
% 0.12/0.44 % Search garbage collected termcells : 19
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.003 s
% 0.12/0.44 % System time : 0.005 s
% 0.12/0.44 % Total time : 0.008 s
% 0.12/0.44 % Maximum resident set size: 3620 pages
% 0.12/0.44
% 0.12/0.44 % -------------------------------------------------
% 0.12/0.44 % User time : 0.005 s
% 0.12/0.44 % System time : 0.010 s
% 0.12/0.44 % Total time : 0.015 s
% 0.12/0.44 % Maximum resident set size: 4864 pages
% 0.12/0.44 % E exiting
%------------------------------------------------------------------------------