%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n016.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 : Fri Sep 25 01:01:54 PM UTC 2026
% Result : Unsatisfiable 3.46s 0.83s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 31 RR)
% Number of literals : 55 ( 54 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
response(l2,lark) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t46,plain,
response(l2,lark) = l3,
inference(orient,[status(thm)],[t0]) ).
cnf(t4,axiom,
response(response(lark,X1),X2) = response(X1,response(X2,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
response(X1,response(X2,X2)) = response(response(lark,X1),X2),
inference(orient,[status(thm)],[t4]) ).
cnf(t2,axiom,
response(lark,lark) = l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t41,plain,
response(lark,lark) = l2,
inference(orient,[status(thm)],[t2]) ).
cnf(t42,plain,
response(lark,response(X1,X1)) = response(l2,X1),
inference(cp,[status(thm)],[t9,t41]) ).
cnf(t48,plain,
response(lark,response(X1,X1)) = response(l2,X1),
inference(orient,[status(thm)],[t42]) ).
cnf(t52,plain,
response(l2,lark) = response(lark,l2),
inference(cp,[status(thm)],[t48,t41]) ).
cnf(t131,plain,
l3 = response(lark,l2),
inference(step,[status(thm)],[t52,t46]) ).
cnf(t57,plain,
response(lark,l2) = l3,
inference(orient,[status(thm)],[t131]) ).
cnf(t58,plain,
response(l2,response(X1,X1)) = response(l3,X1),
inference(cp,[status(thm)],[t9,t57]) ).
cnf(t69,plain,
response(l2,response(X1,X1)) = response(l3,X1),
inference(orient,[status(thm)],[t58]) ).
cnf(t1,axiom,
response(l3,l3) = l3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t45,plain,
response(l3,l3) = l3,
inference(orient,[status(thm)],[t1]) ).
cnf(t72,plain,
response(l3,l3) = response(l2,l3),
inference(cp,[status(thm)],[t69,t45]) ).
cnf(t133,plain,
l3 = response(l2,l3),
inference(step,[status(thm)],[t72,t45]) ).
cnf(t50,plain,
response(l2,l3) = response(lark,l3),
inference(cp,[status(thm)],[t48,t45]) ).
cnf(t59,plain,
response(l2,l3) = response(lark,l3),
inference(orient,[status(thm)],[t50]) ).
cnf(t134,plain,
l3 = response(lark,l3),
inference(step,[status(thm)],[t133,t59]) ).
cnf(t76,plain,
response(lark,l3) = l3,
inference(orient,[status(thm)],[t134]) ).
cnf(t79,plain,
response(l3,response(X1,X1)) = response(l3,X1),
inference(cp,[status(thm)],[t9,t76]) ).
cnf(t87,plain,
response(l3,response(X1,X1)) = response(l3,X1),
inference(orient,[status(thm)],[t79]) ).
cnf(t3,axiom,
response(response(kestrel,X1),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
response(response(kestrel,X1),X2) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t90,plain,
response(l3,response(kestrel,X1)) = response(l3,X1),
inference(cp,[status(thm)],[t87,t8]) ).
cnf(t73,plain,
response(l3,response(kestrel,X1)) = response(l2,X1),
inference(cp,[status(thm)],[t69,t8]) ).
cnf(t85,plain,
response(l3,response(kestrel,X1)) = response(l2,X1),
inference(orient,[status(thm)],[t73]) ).
cnf(t143,plain,
response(l2,X1) = response(l3,X1),
inference(step,[status(thm)],[t90,t85]) ).
cnf(t98,plain,
response(l2,X1) = response(l3,X1),
inference(orient,[status(thm)],[t143]) ).
cnf(t148,plain,
response(l3,lark) = l3,
inference(step,[status(thm)],[t46,t98]) ).
cnf(t74,plain,
response(l3,lark) = response(l2,l2),
inference(cp,[status(thm)],[t69,t41]) ).
cnf(t7,axiom,
sFlat0 = response(l2,l2),
introduced(definition) ).
cnf(t47,plain,
response(l2,l2) = sFlat0,
inference(orient,[status(thm)],[t7]) ).
cnf(t137,plain,
response(l3,lark) = sFlat0,
inference(step,[status(thm)],[t74,t47]) ).
cnf(t80,plain,
response(l3,lark) = sFlat0,
inference(orient,[status(thm)],[t137]) ).
cnf(t149,plain,
sFlat0 = l3,
inference(step,[status(thm)],[t148,t80]) ).
cnf(t103,plain,
sFlat0 = l3,
inference(rw,[status(thm)],[t149]) ).
cnf(t105,plain,
l3 = sFlat0,
inference(orient,[status(thm)],[t103]) ).
cnf(t51,plain,
response(l2,response(kestrel,X1)) = response(lark,X1),
inference(cp,[status(thm)],[t48,t8]) ).
cnf(t60,plain,
response(l2,response(kestrel,X1)) = response(lark,X1),
inference(orient,[status(thm)],[t51]) ).
cnf(t150,plain,
response(l3,response(kestrel,X1)) = response(lark,X1),
inference(step,[status(thm)],[t60,t98]) ).
cnf(t146,plain,
response(l3,response(kestrel,X1)) = response(l3,X1),
inference(step,[status(thm)],[t85,t98]) ).
cnf(t101,plain,
response(l3,response(kestrel,X1)) = response(l3,X1),
inference(orient,[status(thm)],[t146]) ).
cnf(t151,plain,
response(l3,X1) = response(lark,X1),
inference(step,[status(thm)],[t150,t101]) ).
cnf(t104,plain,
response(l3,X1) = response(lark,X1),
inference(rw,[status(thm)],[t151]) ).
cnf(t171,plain,
response(sFlat0,X1) = response(lark,X1),
inference(step,[status(thm)],[t104,t105]) ).
cnf(t122,plain,
response(lark,X1) = response(sFlat0,X1),
inference(orient,[status(thm)],[t171]) ).
cnf(goal_0,negated_conjecture,
response(l2,l2) != l2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
response(l2,l2) != response(l2,response(lark,lark)),
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
response(l2,l2) != response(l3,lark),
inference(rw,[status(thm)],[g0_0]) ).
cnf(g0_2,plain,
response(l2,l2) != response(sFlat0,lark),
inference(rw,[status(thm)],[g0_1,t105]) ).
cnf(g0_3,plain,
response(lark,lark) != response(sFlat0,lark),
inference(rw,[status(thm)],[g0_2]) ).
cnf(g0_4,plain,
response(sFlat0,lark) != response(sFlat0,lark),
inference(rw,[status(thm)],[g0_3,t122]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL059-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 07:27:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.46/0.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.46/0.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------