%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : KLE133+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 01:51:40 PM UTC 2026
% Result : Theorem 3.31s 0.90s
% Output : Proof 3.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 12
% Syntax : Number of formulae : 130 ( 126 unt; 0 def)
% Number of atoms : 138 ( 137 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 122 ( 12 sgn 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] : multiplication(antidomain(X0),X0) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f12_nnf,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
! [X0] : multiplication(antidomain(X0),X0) = zero,
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c13,plain,
multiplication(antidomain(X0),X0) = zero,
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(t13,plain,
multiplication(antidomain(X1),X1) = zero,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t80,plain,
multiplication(antidomain(X1),X1) = zero,
inference(orient,[status(thm)],[t13]) ).
fof(f14,axiom,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain3) ).
fof(f14_nnf,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X0] : addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c15,plain,
addition(antidomain(antidomain(X0)),antidomain(X0)) = one,
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(t17,plain,
addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
inference(equality_encoding,[status(esa)],[c15]) ).
fof(f0,axiom,
! [A,B] : addition(A,B) = addition(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f0_nnf,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(t14,plain,
addition(X1,X2) = addition(X2,X1),
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t110,plain,
addition(X1,X2) = addition(X2,X1),
inference(orient,[status(thm)],[t14]) ).
cnf(t1073,plain,
addition(antidomain(X1),antidomain(antidomain(X1))) = one,
inference(step,[status(thm)],[t17,t110]) ).
fof(f15,axiom,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).
fof(f15_nnf,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(nnf_transformation,[status(thm)],[f15]) ).
fof(f15_sk,plain,
! [X0] : domain(X0) = antidomain(antidomain(X0)),
inference(skolemisation,[status(esa)],[f15_nnf]) ).
cnf(c16,plain,
domain(X0) = antidomain(antidomain(X0)),
inference(cnf_transformation,[status(esa)],[f15_sk]) ).
cnf(t9,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t51,plain,
antidomain(antidomain(X1)) = domain(X1),
inference(orient,[status(thm)],[t9]) ).
cnf(t1074,plain,
addition(antidomain(X1),domain(X1)) = one,
inference(step,[status(thm)],[t1073,t51]) ).
cnf(t1075,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(step,[status(thm)],[t1074,t110]) ).
cnf(t126,plain,
addition(domain(X1),antidomain(X1)) = one,
inference(orient,[status(thm)],[t1075]) ).
fof(f28,conjecture,
! [X0] :
( ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
& ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28_neg,negated_conjecture,
~ ! [X0] :
( ( ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
& ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) )
=> ! [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) = forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3)))) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f28_nnf,plain,
? [X0] :
( ? [X3] : addition(forward_diamond(X0,domain(X3)),forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))) != forward_diamond(star(X0),domain_difference(domain(X3),forward_diamond(X0,domain(X3))))
& ! [X2] : forward_diamond(X0,forward_diamond(X0,domain(X2))) = forward_diamond(X0,domain(X2))
& ! [X1] : addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ),
inference(nnf_transformation,[status(thm)],[f28_neg]) ).
fof(f28_sk,plain,
! [X1,X2] :
( addition(forward_diamond(sk0,domain(sk1)),forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1))))) != forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1))))
& forward_diamond(sk0,forward_diamond(sk0,domain(X2))) = forward_diamond(sk0,domain(X2))
& addition(domain(X1),forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1))))) = forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1)))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1])],[f28_nnf]) ).
cnf(c29,plain,
addition(domain(X1),forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1))))) = forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1)))),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(t35,plain,
addition(domain(X1),forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1))))) = forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1)))),
inference(equality_encoding,[status(esa)],[c29]) ).
cnf(t137,plain,
addition(domain(X1),forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1))))) = forward_diamond(star(sk0),domain_difference(domain(X1),forward_diamond(sk0,domain(X1)))),
inference(orient,[status(thm)],[t35]) ).
cnf(c30,plain,
forward_diamond(sk0,forward_diamond(sk0,domain(X2))) = forward_diamond(sk0,domain(X2)),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(t25,plain,
forward_diamond(sk0,forward_diamond(sk0,domain(X1))) = forward_diamond(sk0,domain(X1)),
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(t189,plain,
forward_diamond(sk0,forward_diamond(sk0,domain(X1))) = forward_diamond(sk0,domain(X1)),
inference(orient,[status(thm)],[t25]) ).
fof(f5,axiom,
! [A] : multiplication(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f5_nnf,plain,
! [A] : multiplication(A,one) = A,
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [A] : multiplication(A,one) = A,
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t5,plain,
multiplication(X1,one) = X1,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t43,plain,
multiplication(X1,one) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t81,plain,
zero = antidomain(one),
inference(cp,[status(thm)],[t80,t43]) ).
cnf(t252,plain,
antidomain(one) = zero,
inference(orient,[status(thm)],[t81]) ).
cnf(t253,plain,
one = addition(domain(one),zero),
inference(cp,[status(thm)],[t126,t252]) ).
fof(f2,axiom,
! [A] : addition(A,zero) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f2_nnf,plain,
! [A] : addition(A,zero) = A,
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A] : addition(A,zero) = A,
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t1,plain,
addition(X1,zero) = X1,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t46,plain,
addition(X1,zero) = X1,
inference(orient,[status(thm)],[t1]) ).
cnf(t1205,plain,
one = domain(one),
inference(step,[status(thm)],[t253,t46]) ).
cnf(t256,plain,
domain(one) = one,
inference(orient,[status(thm)],[t1205]) ).
cnf(t260,plain,
forward_diamond(sk0,domain(one)) = forward_diamond(sk0,forward_diamond(sk0,one)),
inference(cp,[status(thm)],[t189,t256]) ).
cnf(t1297,plain,
forward_diamond(sk0,one) = forward_diamond(sk0,forward_diamond(sk0,one)),
inference(step,[status(thm)],[t260,t256]) ).
fof(f22,axiom,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',forward_diamond) ).
fof(f22_nnf,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c23,plain,
forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(t22,plain,
domain(multiplication(X1,domain(X2))) = forward_diamond(X1,X2),
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(t159,plain,
domain(multiplication(X1,domain(X2))) = forward_diamond(X1,X2),
inference(orient,[status(thm)],[t22]) ).
cnf(t259,plain,
forward_diamond(X1,one) = domain(multiplication(X1,one)),
inference(cp,[status(thm)],[t159,t256]) ).
cnf(t1218,plain,
forward_diamond(X1,one) = domain(X1),
inference(step,[status(thm)],[t259,t43]) ).
cnf(t337,plain,
forward_diamond(X1,one) = domain(X1),
inference(orient,[status(thm)],[t1218]) ).
cnf(t1298,plain,
domain(sk0) = forward_diamond(sk0,forward_diamond(sk0,one)),
inference(step,[status(thm)],[t1297,t337]) ).
cnf(t1299,plain,
domain(sk0) = forward_diamond(sk0,domain(sk0)),
inference(step,[status(thm)],[t1298,t337]) ).
cnf(t1020,plain,
forward_diamond(sk0,domain(sk0)) = domain(sk0),
inference(orient,[status(thm)],[t1299]) ).
cnf(t1021,plain,
forward_diamond(star(sk0),domain_difference(domain(sk0),forward_diamond(sk0,domain(sk0)))) = addition(domain(sk0),forward_diamond(star(sk0),domain_difference(domain(sk0),domain(sk0)))),
inference(cp,[status(thm)],[t137,t1020]) ).
cnf(t1300,plain,
forward_diamond(star(sk0),domain_difference(domain(sk0),domain(sk0))) = addition(domain(sk0),forward_diamond(star(sk0),domain_difference(domain(sk0),domain(sk0)))),
inference(step,[status(thm)],[t1021,t1020]) ).
cnf(t82,plain,
zero = multiplication(domain(X1),antidomain(X1)),
inference(cp,[status(thm)],[t80,t51]) ).
fof(f21,axiom,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_difference) ).
fof(f21_nnf,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X0,X1] : domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c22,plain,
domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(t23,plain,
multiplication(domain(X1),antidomain(X2)) = domain_difference(X1,X2),
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(t99,plain,
multiplication(domain(X1),antidomain(X2)) = domain_difference(X1,X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t1241,plain,
zero = domain_difference(X1,X1),
inference(step,[status(thm)],[t82,t99]) ).
cnf(t581,plain,
domain_difference(X1,X1) = zero,
inference(orient,[status(thm)],[t1241]) ).
cnf(t1301,plain,
forward_diamond(star(sk0),zero) = addition(domain(sk0),forward_diamond(star(sk0),domain_difference(domain(sk0),domain(sk0)))),
inference(step,[status(thm)],[t1300,t581]) ).
cnf(t255,plain,
domain(one) = antidomain(zero),
inference(cp,[status(thm)],[t51,t252]) ).
cnf(t1207,plain,
one = antidomain(zero),
inference(step,[status(thm)],[t255,t256]) ).
cnf(t285,plain,
antidomain(zero) = one,
inference(orient,[status(thm)],[t1207]) ).
cnf(t288,plain,
domain(zero) = antidomain(one),
inference(cp,[status(thm)],[t51,t285]) ).
cnf(t1208,plain,
domain(zero) = zero,
inference(step,[status(thm)],[t288,t252]) ).
cnf(t289,plain,
domain(zero) = zero,
inference(orient,[status(thm)],[t1208]) ).
cnf(t293,plain,
forward_diamond(X1,zero) = domain(multiplication(X1,zero)),
inference(cp,[status(thm)],[t159,t289]) ).
fof(f9,axiom,
! [A] : multiplication(A,zero) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_annihilation) ).
fof(f9_nnf,plain,
! [A] : multiplication(A,zero) = zero,
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [A] : multiplication(A,zero) = zero,
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t6,plain,
multiplication(X1,zero) = zero,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t76,plain,
multiplication(X1,zero) = zero,
inference(orient,[status(thm)],[t6]) ).
cnf(t1212,plain,
forward_diamond(X1,zero) = domain(zero),
inference(step,[status(thm)],[t293,t76]) ).
cnf(t1213,plain,
forward_diamond(X1,zero) = zero,
inference(step,[status(thm)],[t1212,t289]) ).
cnf(t323,plain,
forward_diamond(X1,zero) = zero,
inference(orient,[status(thm)],[t1213]) ).
cnf(t1302,plain,
zero = addition(domain(sk0),forward_diamond(star(sk0),domain_difference(domain(sk0),domain(sk0)))),
inference(step,[status(thm)],[t1301,t323]) ).
cnf(t1303,plain,
zero = addition(domain(sk0),forward_diamond(star(sk0),zero)),
inference(step,[status(thm)],[t1302,t581]) ).
cnf(t1304,plain,
zero = addition(domain(sk0),zero),
inference(step,[status(thm)],[t1303,t323]) ).
cnf(t1305,plain,
zero = domain(sk0),
inference(step,[status(thm)],[t1304,t46]) ).
cnf(t1027,plain,
domain(sk0) = zero,
inference(orient,[status(thm)],[t1305]) ).
cnf(t1033,plain,
one = addition(zero,antidomain(sk0)),
inference(cp,[status(thm)],[t126,t1027]) ).
cnf(t111,plain,
addition(zero,X1) = X1,
inference(cp,[status(thm)],[t110,t46]) ).
cnf(t317,plain,
addition(zero,X1) = X1,
inference(orient,[status(thm)],[t111]) ).
cnf(t1307,plain,
one = antidomain(sk0),
inference(step,[status(thm)],[t1033,t317]) ).
cnf(t1048,plain,
antidomain(sk0) = one,
inference(orient,[status(thm)],[t1307]) ).
cnf(t1052,plain,
zero = multiplication(one,sk0),
inference(cp,[status(thm)],[t80,t1048]) ).
fof(f6,axiom,
! [A] : multiplication(one,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f6_nnf,plain,
! [A] : multiplication(one,A) = A,
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [A] : multiplication(one,A) = A,
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t7,plain,
multiplication(one,X1) = X1,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t44,plain,
multiplication(one,X1) = X1,
inference(orient,[status(thm)],[t7]) ).
cnf(t1308,plain,
zero = sk0,
inference(step,[status(thm)],[t1052,t44]) ).
cnf(t1053,plain,
sk0 = zero,
inference(orient,[status(thm)],[t1308]) ).
fof(f10,axiom,
! [A] : multiplication(zero,A) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f10_nnf,plain,
! [A] : multiplication(zero,A) = zero,
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [A] : multiplication(zero,A) = zero,
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(t8,plain,
multiplication(zero,X1) = zero,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t108,plain,
multiplication(zero,X1) = zero,
inference(orient,[status(thm)],[t8]) ).
cnf(t160,plain,
forward_diamond(zero,X1) = domain(zero),
inference(cp,[status(thm)],[t159,t108]) ).
cnf(t1215,plain,
forward_diamond(zero,X1) = zero,
inference(step,[status(thm)],[t160,t289]) ).
cnf(t325,plain,
forward_diamond(zero,X1) = zero,
inference(orient,[status(thm)],[t1215]) ).
cnf(c31,plain,
addition(forward_diamond(sk0,domain(sk1)),forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1))))) != forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1)))),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(goal_0,negated_conjecture,
addition(forward_diamond(sk0,domain(sk1)),forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1))))) != forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1)))),
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(g0_0,plain,
addition(forward_diamond(zero,domain(sk1)),forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1))))) != forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1)))),
inference(rw,[status(thm)],[goal_0,t1053]) ).
cnf(g0_1,plain,
addition(zero,forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1))))) != forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1)))),
inference(rw,[status(thm)],[g0_0,t325]) ).
cnf(g0_2,plain,
forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1)))) != forward_diamond(star(sk0),domain_difference(domain(sk1),forward_diamond(sk0,domain(sk1)))),
inference(rw,[status(thm)],[g0_1,t317]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE133+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 19:06:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.31/0.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.31/0.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------