%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:10:50 PM UTC 2026
% Result : Unsatisfiable 7.93s 6.54s
% Output : CNFRefutation 7.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 20 RR)
% Number of literals : 24 ( 23 equ; 5 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 : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
f(ts,k) = tsk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t18,plain,
f(ts,k) = tsk,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
f(t,k) = tk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
f(t,k) = tk,
inference(orient,[status(thm)],[t0]) ).
cnf(t5,axiom,
f(f(X1,X2),f(X1,X3)) = f(X1,f(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t6,plain,
f(f(X1,X2),f(X1,X3)) = f(X1,f(X2,X3)),
inference(orient,[status(thm)],[t5]) ).
cnf(t2,axiom,
f(t,t) = tt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
f(t,t) = tt,
inference(orient,[status(thm)],[t2]) ).
cnf(t10,plain,
f(t,f(t,X1)) = f(tt,f(t,X1)),
inference(cp,[status(thm)],[t6,t9]) ).
cnf(t24,plain,
f(t,f(t,X1)) = f(tt,f(t,X1)),
inference(orient,[status(thm)],[t10]) ).
cnf(t1,axiom,
f(t,s) = ts,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t15,plain,
f(t,s) = ts,
inference(orient,[status(thm)],[t1]) ).
cnf(t25,plain,
f(tt,f(t,s)) = f(t,ts),
inference(cp,[status(thm)],[t24,t15]) ).
cnf(t35,plain,
f(tt,ts) = f(t,ts),
inference(step,[status(thm)],[t25,t15]) ).
cnf(t4,axiom,
f(tt,ts) = tt_ts,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t21,plain,
f(tt,ts) = tt_ts,
inference(orient,[status(thm)],[t4]) ).
cnf(t36,plain,
tt_ts = f(t,ts),
inference(step,[status(thm)],[t35,t21]) ).
cnf(t31,plain,
f(t,ts) = tt_ts,
inference(orient,[status(thm)],[t36]) ).
cnf(goal_0,negated_conjecture,
f(tt_ts,tk) != f(t,tsk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
f(t,f(ts,k)) != f(t,tsk),
inference(rw,[status(thm)],[goal_0,t18]) ).
cnf(g0_1,plain,
f(t,f(ts,k)) != f(tt_ts,f(t,k)),
inference(rw,[status(thm)],[g0_0,t12]) ).
cnf(g0_2,plain,
f(t,f(ts,k)) != f(f(t,ts),f(t,k)),
inference(rw,[status(thm)],[g0_1,t31]) ).
cnf(g0_3,plain,
f(t,f(ts,k)) != f(t,f(ts,k)),
inference(rw,[status(thm)],[g0_2,t6]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LDA007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/5.44 % Computer : n009.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Thu Sep 24 00:45:33 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.45 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.93/6.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.93/6.54 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------