%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 03:34:05 PM UTC 2026
% Result : Unsatisfiable 3.97s 0.93s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 25 RR)
% Number of literals : 41 ( 40 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 39 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi127,axiom,
ifeq(p0(C,J),true,ifeq(n0(B,A),true,q1(J,A,J),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi13,axiom,
p0(b,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi25,axiom,
n0(d,c) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h9,plain,
q1(c,c,c) = true,
inference(hyper_resolution,[status(thm)],[hi127,hi13,hi25]) ).
cnf(hi164,axiom,
ifeq(q1(A,J,J),true,k2(J,J),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h10,plain,
k2(c,c) = true,
inference(hyper_resolution,[status(thm)],[hi164,h9]) ).
cnf(hi73,axiom,
ifeq(m0(b,B,A),true,n1(A,A,B),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi18,axiom,
m0(X,d,Y) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h7,plain,
n1(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi73,hi18]) ).
cnf(hi212,axiom,
ifeq(n1(C,B,D),true,ifeq(q0(C,B),true,q2(B,B,B),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi16,axiom,
q0(X,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h8,plain,
q2(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi212,h7,hi16]) ).
cnf(hi273,axiom,
ifeq(q2(F,d,C),true,ifeq(k2(D,E),true,p3(C,D,E),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h11,plain,
p3(d,c,c) = true,
inference(hyper_resolution,[status(thm)],[hi273,h8,h10]) ).
cnf(hi308,axiom,
ifeq(p3(A,B,J),true,l4(J),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h12,plain,
l4(c) = true,
inference(hyper_resolution,[status(thm)],[hi308,h11]) ).
cnf(hi9,axiom,
p0(b,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi36,axiom,
n0(b,a) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h15,plain,
q1(d,a,d) = true,
inference(hyper_resolution,[status(thm)],[hi127,hi9,hi36]) ).
cnf(hi175,axiom,
ifeq(q1(B,a,B),true,p2(B,a,B),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h18,plain,
p2(d,a,d) = true,
inference(hyper_resolution,[status(thm)],[hi175,h15]) ).
cnf(hi272,axiom,
ifeq(p2(E,F,D),true,n3(D),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h19,plain,
n3(d) = true,
inference(hyper_resolution,[status(thm)],[hi272,h18]) ).
cnf(hi27,axiom,
k0(e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h14,plain,
k0(e) = true,
inference(hyper_resolution,[status(thm)],[hi27]) ).
cnf(hi102,axiom,
ifeq(n0(H,G),true,p1(G,G,G),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi33,axiom,
n0(c,d) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h13,plain,
p1(d,d,d) = true,
inference(hyper_resolution,[status(thm)],[hi102,hi33]) ).
cnf(hi211,axiom,
ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h16,plain,
q2(d,e,e) = true,
inference(hyper_resolution,[status(thm)],[hi211,h13,h14]) ).
cnf(hi287,axiom,
ifeq(q2(I,G,H),true,ifeq(n0(I,G),true,q3(G,H),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi2,axiom,
n0(d,e) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h17,plain,
q3(e,e) = true,
inference(hyper_resolution,[status(thm)],[hi287,h16,hi2]) ).
cnf(hi328,axiom,
ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h20,plain,
r4(d) = true,
inference(hyper_resolution,[status(thm)],[hi328,h17,h19,hi9]) ).
cnf(hi359,axiom,
ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t0,plain,
s5(c) = true,
inference(hyper_resolution,[status(thm)],[hi359,h20,h12]) ).
cnf(t40,plain,
s5(c) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(goal_0,negated_conjecture,
s5(c) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t40]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN214-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 00:31:17 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.97/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/0.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------