%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP449-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 01:26:53 PM UTC 2026
% Result : Unsatisfiable 4.07s 0.95s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of clauses : 87 ( 87 unt; 0 nHn; 24 RR)
% Number of literals : 87 ( 86 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
divide(X1,divide(divide(X2,X2),X3)) = multiply(X1,X3),
inference(orient,[status(thm)],[t1]) ).
cnf(t0,axiom,
divide(divide(X1,X1),X2) = inverse(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t22,plain,
divide(divide(X1,X1),X2) = inverse(X2),
inference(orient,[status(thm)],[t0]) ).
cnf(t956,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(step,[status(thm)],[t10,t22]) ).
cnf(t24,plain,
divide(X1,inverse(X3)) = multiply(X1,X3),
inference(rw,[status(thm)],[t956]) ).
cnf(t29,plain,
divide(X1,inverse(X2)) = multiply(X1,X2),
inference(orient,[status(thm)],[t24]) ).
cnf(t30,plain,
multiply(divide(X1,X1),X2) = inverse(inverse(X2)),
inference(cp,[status(thm)],[t29,t22]) ).
cnf(t3,axiom,
sFlat0 = inverse(b2),
introduced(definition) ).
cnf(t26,plain,
inverse(b2) = sFlat0,
inference(orient,[status(thm)],[t3]) ).
cnf(t31,plain,
multiply(X1,b2) = divide(X1,sFlat0),
inference(cp,[status(thm)],[t29,t26]) ).
cnf(t33,plain,
divide(X1,sFlat0) = multiply(X1,b2),
inference(orient,[status(thm)],[t31]) ).
cnf(t35,plain,
inverse(X1) = divide(multiply(sFlat0,b2),X1),
inference(cp,[status(thm)],[t22,t33]) ).
cnf(t4,axiom,
sFlat1 = multiply(inverse(b2),b2),
introduced(definition) ).
cnf(t959,plain,
sFlat1 = multiply(sFlat0,b2),
inference(step,[status(thm)],[t4,t26]) ).
cnf(t27,plain,
multiply(sFlat0,b2) = sFlat1,
inference(orient,[status(thm)],[t959]) ).
cnf(t962,plain,
inverse(X1) = divide(sFlat1,X1),
inference(step,[status(thm)],[t35,t27]) ).
cnf(t36,plain,
divide(sFlat1,X1) = inverse(X1),
inference(orient,[status(thm)],[t962]) ).
cnf(t37,plain,
inverse(inverse(X1)) = multiply(sFlat1,X1),
inference(cp,[status(thm)],[t36,t29]) ).
cnf(t41,plain,
inverse(inverse(X1)) = multiply(sFlat1,X1),
inference(orient,[status(thm)],[t37]) ).
cnf(t966,plain,
multiply(divide(X1,X1),X2) = multiply(sFlat1,X2),
inference(step,[status(thm)],[t30,t41]) ).
cnf(t64,plain,
multiply(divide(X1,X1),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t966]) ).
cnf(t65,plain,
multiply(sFlat1,X1) = multiply(multiply(inverse(X2),X2),X1),
inference(cp,[status(thm)],[t64,t29]) ).
cnf(t116,plain,
multiply(multiply(inverse(X1),X1),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t65]) ).
cnf(t2,axiom,
divide(X1,divide(divide(divide(divide(X2,X2),X2),X3),divide(divide(divide(X2,X2),X1),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6,plain,
divide(X1,divide(divide(divide(divide(X2,X2),X2),X3),divide(divide(divide(X2,X2),X1),X3))) = X2,
inference(orient,[status(thm)],[t2]) ).
cnf(t957,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(divide(divide(X2,X2),X1),X3))) = X2,
inference(step,[status(thm)],[t6,t22]) ).
cnf(t958,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(step,[status(thm)],[t957,t22]) ).
cnf(t25,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(rw,[status(thm)],[t958]) ).
cnf(t719,plain,
divide(X1,divide(divide(inverse(X2),X3),divide(inverse(X1),X3))) = X2,
inference(orient,[status(thm)],[t25]) ).
cnf(t743,plain,
X1 = divide(X2,inverse(divide(inverse(X2),inverse(X1)))),
inference(cp,[status(thm)],[t719,t22]) ).
cnf(t995,plain,
X1 = multiply(X2,divide(inverse(X2),inverse(X1))),
inference(step,[status(thm)],[t743,t29]) ).
cnf(t996,plain,
X1 = multiply(X2,multiply(inverse(X2),X1)),
inference(step,[status(thm)],[t995,t29]) ).
cnf(t766,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(orient,[status(thm)],[t996]) ).
cnf(t799,plain,
multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
inference(cp,[status(thm)],[t766,t766]) ).
cnf(t1003,plain,
multiply(multiply(sFlat1,X1),X2) = multiply(X1,X2),
inference(step,[status(thm)],[t799,t41]) ).
cnf(t888,plain,
multiply(multiply(sFlat1,X1),X2) = multiply(X1,X2),
inference(orient,[status(thm)],[t1003]) ).
cnf(t43,plain,
multiply(X1,inverse(X2)) = divide(X1,multiply(sFlat1,X2)),
inference(cp,[status(thm)],[t29,t41]) ).
cnf(t70,plain,
divide(X1,multiply(sFlat1,X2)) = multiply(X1,inverse(X2)),
inference(orient,[status(thm)],[t43]) ).
cnf(t5,axiom,
sFlat2 = multiply(multiply(inverse(b2),b2),a2),
introduced(definition) ).
cnf(t960,plain,
sFlat2 = multiply(multiply(sFlat0,b2),a2),
inference(step,[status(thm)],[t5,t26]) ).
cnf(t961,plain,
sFlat2 = multiply(sFlat1,a2),
inference(step,[status(thm)],[t960,t27]) ).
cnf(t28,plain,
multiply(sFlat1,a2) = sFlat2,
inference(orient,[status(thm)],[t961]) ).
cnf(t71,plain,
multiply(X1,inverse(a2)) = divide(X1,sFlat2),
inference(cp,[status(thm)],[t70,t28]) ).
cnf(t74,plain,
multiply(X1,inverse(a2)) = divide(X1,sFlat2),
inference(orient,[status(thm)],[t71]) ).
cnf(t893,plain,
multiply(inverse(a2),X1) = multiply(divide(sFlat1,sFlat2),X1),
inference(cp,[status(thm)],[t888,t74]) ).
cnf(t1016,plain,
multiply(inverse(a2),X1) = multiply(inverse(sFlat2),X1),
inference(step,[status(thm)],[t893,t36]) ).
cnf(t934,plain,
multiply(inverse(a2),X1) = multiply(inverse(sFlat2),X1),
inference(orient,[status(thm)],[t1016]) ).
cnf(t935,plain,
multiply(inverse(sFlat2),inverse(a2)) = divide(inverse(a2),sFlat2),
inference(cp,[status(thm)],[t934,t74]) ).
cnf(t1017,plain,
divide(inverse(sFlat2),sFlat2) = divide(inverse(a2),sFlat2),
inference(step,[status(thm)],[t935,t74]) ).
cnf(t944,plain,
divide(inverse(a2),sFlat2) = divide(inverse(sFlat2),sFlat2),
inference(orient,[status(thm)],[t1017]) ).
cnf(t945,plain,
a2 = divide(X1,divide(divide(inverse(sFlat2),sFlat2),divide(inverse(X1),sFlat2))),
inference(cp,[status(thm)],[t719,t944]) ).
cnf(t1018,plain,
a2 = sFlat2,
inference(step,[status(thm)],[t945,t719]) ).
cnf(t947,plain,
a2 = sFlat2,
inference(orient,[status(thm)],[t1018]) ).
cnf(t68,plain,
multiply(sFlat1,X1) = multiply(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t64,t22]) ).
cnf(t120,plain,
multiply(inverse(divide(X1,X1)),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t68]) ).
cnf(t23,plain,
inverse(X1) = divide(inverse(divide(X2,X2)),X1),
inference(cp,[status(thm)],[t22,t22]) ).
cnf(t75,plain,
divide(inverse(divide(X1,X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t23]) ).
cnf(t83,plain,
inverse(X1) = divide(inverse(inverse(divide(X2,X2))),X1),
inference(cp,[status(thm)],[t75,t22]) ).
cnf(t971,plain,
inverse(X1) = divide(multiply(sFlat1,divide(X2,X2)),X1),
inference(step,[status(thm)],[t83,t41]) ).
cnf(t149,plain,
divide(multiply(sFlat1,divide(X1,X1)),X2) = inverse(X2),
inference(orient,[status(thm)],[t971]) ).
cnf(t166,plain,
multiply(sFlat1,X1) = multiply(inverse(inverse(multiply(sFlat1,divide(X2,X2)))),X1),
inference(cp,[status(thm)],[t120,t149]) ).
cnf(t986,plain,
multiply(sFlat1,X1) = multiply(multiply(sFlat1,multiply(sFlat1,divide(X2,X2))),X1),
inference(step,[status(thm)],[t166,t41]) ).
cnf(t468,plain,
multiply(multiply(sFlat1,multiply(sFlat1,divide(X1,X1))),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t986]) ).
cnf(t769,plain,
X1 = multiply(sFlat1,multiply(inverse(multiply(sFlat1,multiply(sFlat1,divide(X2,X2)))),X1)),
inference(cp,[status(thm)],[t766,t468]) ).
cnf(t42,plain,
multiply(sFlat1,inverse(X1)) = inverse(multiply(sFlat1,X1)),
inference(cp,[status(thm)],[t41,t41]) ).
cnf(t50,plain,
inverse(multiply(sFlat1,X1)) = multiply(sFlat1,inverse(X1)),
inference(orient,[status(thm)],[t42]) ).
cnf(t997,plain,
X1 = multiply(sFlat1,multiply(multiply(sFlat1,inverse(multiply(sFlat1,divide(X2,X2)))),X1)),
inference(step,[status(thm)],[t769,t50]) ).
cnf(t998,plain,
X1 = multiply(sFlat1,multiply(multiply(sFlat1,multiply(sFlat1,inverse(divide(X2,X2)))),X1)),
inference(step,[status(thm)],[t997,t50]) ).
cnf(t85,plain,
multiply(sFlat1,X1) = multiply(inverse(inverse(divide(X2,X2))),X1),
inference(cp,[status(thm)],[t64,t75]) ).
cnf(t972,plain,
multiply(sFlat1,X1) = multiply(multiply(sFlat1,divide(X2,X2)),X1),
inference(step,[status(thm)],[t85,t41]) ).
cnf(t183,plain,
multiply(multiply(sFlat1,divide(X1,X1)),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t972]) ).
cnf(t186,plain,
multiply(sFlat1,X1) = multiply(multiply(sFlat1,inverse(multiply(sFlat1,divide(X2,X2)))),X1),
inference(cp,[status(thm)],[t183,t149]) ).
cnf(t991,plain,
multiply(sFlat1,X1) = multiply(multiply(sFlat1,multiply(sFlat1,inverse(divide(X2,X2)))),X1),
inference(step,[status(thm)],[t186,t50]) ).
cnf(t669,plain,
multiply(multiply(sFlat1,multiply(sFlat1,inverse(divide(X1,X1)))),X2) = multiply(sFlat1,X2),
inference(orient,[status(thm)],[t991]) ).
cnf(t999,plain,
X1 = multiply(sFlat1,multiply(sFlat1,X1)),
inference(step,[status(thm)],[t998,t669]) ).
cnf(t808,plain,
multiply(sFlat1,multiply(sFlat1,X1)) = X1,
inference(orient,[status(thm)],[t999]) ).
cnf(t809,plain,
a2 = multiply(sFlat1,sFlat2),
inference(cp,[status(thm)],[t808,t28]) ).
cnf(t819,plain,
multiply(sFlat1,sFlat2) = a2,
inference(orient,[status(thm)],[t809]) ).
cnf(t1019,plain,
multiply(sFlat1,sFlat2) = sFlat2,
inference(step,[status(thm)],[t819,t947]) ).
cnf(t948,plain,
multiply(sFlat1,sFlat2) = sFlat2,
inference(orient,[status(thm)],[t1019]) ).
cnf(goal_0,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
multiply(sFlat1,a2) != a2,
inference(rw,[status(thm)],[goal_0,t116]) ).
cnf(g0_1,plain,
multiply(sFlat1,sFlat2) != a2,
inference(rw,[status(thm)],[g0_0,t947]) ).
cnf(g0_2,plain,
sFlat2 != a2,
inference(rw,[status(thm)],[g0_1,t948]) ).
cnf(g0_3,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_2,t947]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP449-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.33 % Computer : n018.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Wed Sep 23 14:49:32 UTC 2026
% 0.08/0.33 % CPUTime :
% 0.08/0.33 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.07/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.07/0.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------