%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 02:01:41 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of clauses : 60 ( 24 unt; 0 nHn; 60 RR)
% Number of literals : 96 ( 0 equ; 39 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 465 ( 33 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(v3_down,axiom,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12)
| state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',v3_down) ).
cnf(v1_down,axiom,
( ~ state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12)
| state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',v1_down) ).
cnf(initial_state,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state) ).
cnf(swap_blanks,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',swap_blanks) ).
cnf(v4_down,axiom,
( ~ state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12)
| state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',v4_down) ).
cnf(h_right,axiom,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12)
| state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',h_right) ).
cnf(s1_up,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',s1_up) ).
cnf(s3_up,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',s3_up) ).
cnf(v1_up,axiom,
( ~ state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12)
| state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',v1_up) ).
cnf(s1_left,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',s1_left) ).
cnf(v3_right,axiom,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5)))
| state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',v3_right) ).
cnf(s1_down,axiom,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',s1_down) ).
cnf(b_left,axiom,
( ~ state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2))
| state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ004-0.ax',b_left) ).
cnf(goal_state,negated_conjecture,
~ state(bb(o,o),X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_state) ).
cnf(c_0_14,plain,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12)
| state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12) ),
inference(fof_simplification,[status(thm)],[v3_down]) ).
cnf(c_0_15,plain,
( ~ state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12)
| state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12) ),
inference(fof_simplification,[status(thm)],[v1_down]) ).
cnf(c_0_16,plain,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12)
| state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12) ),
c_0_14 ).
cnf(c_0_17,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
initial_state ).
cnf(c_0_18,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
inference(fof_simplification,[status(thm)],[swap_blanks]) ).
cnf(c_0_19,plain,
( ~ state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12)
| state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12) ),
c_0_15 ).
cnf(c_0_20,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12)
| state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12) ),
inference(fof_simplification,[status(thm)],[v4_down]) ).
cnf(c_0_22,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
c_0_18 ).
cnf(c_0_23,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12)
| state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12) ),
inference(fof_simplification,[status(thm)],[h_right]) ).
cnf(c_0_25,plain,
( ~ state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12)
| state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12) ),
c_0_21 ).
cnf(c_0_26,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12) ),
inference(fof_simplification,[status(thm)],[s1_up]) ).
cnf(c_0_28,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12)
| state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12) ),
c_0_24 ).
cnf(c_0_29,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12) ),
inference(fof_simplification,[status(thm)],[s3_up]) ).
cnf(c_0_31,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12) ),
c_0_27 ).
cnf(c_0_32,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12) ),
c_0_30 ).
cnf(c_0_34,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
( ~ state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12)
| state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12) ),
inference(fof_simplification,[status(thm)],[v1_up]) ).
cnf(c_0_36,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12) ),
inference(fof_simplification,[status(thm)],[s1_left]) ).
cnf(c_0_38,plain,
( ~ state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12)
| state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12) ),
c_0_35 ).
cnf(c_0_39,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_22,c_0_36]) ).
cnf(c_0_40,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12) ),
c_0_37 ).
cnf(c_0_41,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5)))
| state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5)) ),
inference(fof_simplification,[status(thm)],[v3_right]) ).
cnf(c_0_43,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
inference(fof_simplification,[status(thm)],[s1_down]) ).
cnf(c_0_45,plain,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5)))
| state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5)) ),
c_0_42 ).
cnf(c_0_46,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(spm,[status(thm)],[c_0_33,c_0_43]) ).
cnf(c_0_47,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
c_0_44 ).
cnf(c_0_48,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_50,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),o)),
inference(spm,[status(thm)],[c_0_19,c_0_49]) ).
cnf(c_0_51,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,o)),
inference(spm,[status(thm)],[c_0_22,c_0_50]) ).
cnf(c_0_52,hypothesis,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(o,o)),
inference(spm,[status(thm)],[c_0_47,c_0_51]) ).
cnf(c_0_53,plain,
( ~ state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2))
| state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2)))) ),
inference(fof_simplification,[status(thm)],[b_left]) ).
cnf(c_0_54,hypothesis,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(o,o)),
inference(spm,[status(thm)],[c_0_19,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
~ state(bb(o,o),X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
inference(fof_simplification,[status(thm)],[goal_state]) ).
cnf(c_0_56,plain,
( ~ state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2))
| state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2)))) ),
c_0_53 ).
cnf(c_0_57,hypothesis,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(o),o)),
inference(spm,[status(thm)],[c_0_22,c_0_54]) ).
cnf(c_0_58,negated_conjecture,
~ state(bb(o,o),X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
c_0_55 ).
cnf(c_0_59,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:46:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.46 % Version: 3.5.1
% 0.14/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.46 % Starting sh5l with 300s (1) cores
% 0.14/0.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 901747 completed with status 0
% 0.14/0.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.14/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.46 % No SInE strategy applied
% 0.14/0.46 % Search class: FHUNF-FFLF21-MFFFFFNN
% 0.14/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 154s (1) cores
% 0.14/0.46 % Starting new_bool_3 with 154s (1) cores
% 0.14/0.46 % Starting new_bool_1 with 154s (1) cores
% 0.14/0.46 % G-E--_208_C18_F1_SE_CS_SP_PS_S4d with pid 901754 completed with status 0
% 0.14/0.46 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4d
% 0.14/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.46 % No SInE strategy applied
% 0.14/0.46 % Search class: FHUNF-FFLF21-MFFFFFNN
% 0.14/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.14/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 154s (1) cores
% 0.14/0.46 % Preprocessing time : 0.002 s
% 0.14/0.46 % Presaturation interreduction done
% 0.14/0.46
% 0.14/0.46 % Proof found!
% 0.14/0.46 % SZS status Unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation
% See solution above
% 0.14/0.46 % Parsed axioms : 43
% 0.14/0.46 % Removed by relevancy pruning/SinE : 0
% 0.14/0.46 % Initial clauses : 43
% 0.14/0.46 % Removed in clause preprocessing : 0
% 0.14/0.46 % Initial clauses in saturation : 43
% 0.14/0.46 % Processed clauses : 203
% 0.14/0.46 % ...of these trivial : 5
% 0.14/0.46 % ...subsumed : 0
% 0.14/0.46 % ...remaining for further processing : 198
% 0.14/0.46 % Other redundant clauses eliminated : 0
% 0.14/0.46 % Clauses deleted for lack of memory : 0
% 0.14/0.46 % Backward-subsumed : 0
% 0.14/0.46 % Backward-rewritten : 0
% 0.14/0.46 % Generated clauses : 349
% 0.14/0.46 % ...of the previous two non-redundant : 219
% 0.14/0.46 % ...aggressively subsumed : 0
% 0.14/0.46 % Contextual simplify-reflections : 0
% 0.14/0.46 % Paramodulations : 349
% 0.14/0.46 % Factorizations : 0
% 0.14/0.46 % NegExts : 0
% 0.14/0.46 % Equation resolutions : 0
% 0.14/0.46 % Disequality decompositions : 0
% 0.14/0.46 % Total rewrite steps : 134
% 0.14/0.46 % ...of those cached : 50
% 0.14/0.46 % Propositional unsat checks : 0
% 0.14/0.46 % Propositional check models : 0
% 0.14/0.46 % Propositional check unsatisfiable : 0
% 0.14/0.46 % Propositional clauses : 0
% 0.14/0.46 % Propositional clauses after purity: 0
% 0.14/0.46 % Propositional unsat core size : 0
% 0.14/0.46 % Propositional preprocessing time : 0.000
% 0.14/0.46 % Propositional encoding time : 0.000
% 0.14/0.46 % Propositional solver time : 0.000
% 0.14/0.46 % Success case prop preproc time : 0.000
% 0.14/0.46 % Success case prop encoding time : 0.000
% 0.14/0.46 % Success case prop solver time : 0.000
% 0.14/0.46 % Current number of processed clauses : 155
% 0.14/0.46 % Positive orientable unit clauses : 113
% 0.14/0.46 % Positive unorientable unit clauses: 0
% 0.14/0.46 % Negative unit clauses : 1
% 0.14/0.46 % Non-unit-clauses : 41
% 0.14/0.46 % Current number of unprocessed clauses: 102
% 0.14/0.46 % ...number of literals in the above : 102
% 0.14/0.46 % Current number of archived formulas : 0
% 0.14/0.46 % Current number of archived clauses : 43
% 0.14/0.46 % Clause-clause subsumption calls (NU) : 1300
% 0.14/0.46 % Rec. Clause-clause subsumption calls : 1300
% 0.14/0.46 % Non-unit clause-clause subsumptions : 0
% 0.14/0.46 % Unit Clause-clause subsumption calls : 0
% 0.14/0.46 % Rewrite failures with RHS unbound : 0
% 0.14/0.46 % BW rewrite match attempts : 3178
% 0.14/0.46 % BW rewrite match successes : 0
% 0.14/0.46 % Condensation attempts : 0
% 0.14/0.46 % Condensation successes : 0
% 0.14/0.46 % Termbank termtop insertions : 32062
% 0.14/0.46 % Search garbage collected termcells : 85
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.034 s
% 0.14/0.46 % System time : 0.011 s
% 0.14/0.46 % Total time : 0.045 s
% 0.14/0.46 % Maximum resident set size: 3684 pages
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.173 s
% 0.14/0.46 % System time : 0.039 s
% 0.14/0.46 % Total time : 0.212 s
% 0.14/0.46 % Maximum resident set size: 4608 pages
% 0.14/0.46 % E exiting
%------------------------------------------------------------------------------