%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP052-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n010.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 01:30:23 PM UTC 2026
% Result : Unsatisfiable 39.24s 6.40s
% Output : CNFRefutation 39.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 80 ( 76 unt; 0 def)
% Number of atoms : 87 ( 86 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 253 ( 0 sgn 253 !; 0 ?; 250 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,negated_conjecture,
( ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1) )
| ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),X3))),X0)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X3)),X2))),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(superposition,[status(thm)],[c_108,c_52]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)) = X3,
inference(superposition,[status(thm)],[c_108,c_52]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X0))),X2))),X0) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X2,X1)))),
inference(superposition,[status(thm)],[c_52,c_134]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,X2)))),X0)) = X2,
inference(superposition,[status(thm)],[c_145,c_145]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_333,c_134]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(superposition,[status(thm)],[c_333,c_373]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,X0)))),X3)) = multiply(inverse(multiply(X4,X1)),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_333,c_444]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(X3,X2)),multiply(X3,X2)),inverse(X4)),multiply(X1,X2))))) = X4,
inference(superposition,[status(thm)],[c_444,c_134]) ).
tcf(c_530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),inverse(multiply(inverse(multiply(X0,inverse(multiply(X3,X2)))),X4))),multiply(X3,X2)))) = X4,
inference(superposition,[status(thm)],[c_444,c_52]) ).
tcf(c_534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(multiply(inverse(multiply(X2,inverse(multiply(X3,X1)))),multiply(X2,X4)))),multiply(X3,X1))) = X4,
inference(superposition,[status(thm)],[c_444,c_333]) ).
tcf(c_8461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(multiply(inverse(inverse(X0)),inverse(X0)),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(inverse(X0)))),X2))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X2,X1))))),X4))),X0))) = X4,
inference(superposition,[status(thm)],[c_270,c_52]) ).
tcf(c_8531,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))))) = X2,
inference(superposition,[status(thm)],[c_270,c_530]) ).
tcf(c_8533,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_270,c_534]) ).
tcf(c_8547,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(X0))),multiply(multiply(inverse(X1),X1),inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_270,c_134]) ).
tcf(c_11830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2)) = multiply(multiply(inverse(multiply(X3,X1)),multiply(X3,X1)),inverse(X2)),
inference(superposition,[status(thm)],[c_529,c_8531]) ).
tcf(c_14205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),X2) = multiply(multiply(inverse(multiply(X3,X1)),multiply(X3,X1)),X2),
inference(superposition,[status(thm)],[c_8533,c_11830]) ).
tcf(c_15166,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2))))),X0) = X2,
inference(superposition,[status(thm)],[c_444,c_8547]) ).
tcf(c_15494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),X2) = multiply(multiply(inverse(X3),X3),X2),
inference(superposition,[status(thm)],[c_15166,c_14205]) ).
tcf(c_15515,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_15166,c_502]) ).
tcf(c_16418,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_15515,c_15515]) ).
tcf(c_16564,plain,
( ( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) )
| ( multiply(multiply(inverse(b2),b2),a2) != a2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_16418]) ).
tcf(c_16754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X2),X2),X3),X1))))) = X3,
inference(superposition,[status(thm)],[c_16418,c_8533]) ).
tcf(c_16759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X2))),X3))),X2))) = X3,
inference(superposition,[status(thm)],[c_16418,c_52]) ).
tcf(c_16772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))))),X2) = X3,
inference(superposition,[status(thm)],[c_16418,c_15166]) ).
tcf(c_16773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X3,X2)))))) = X3,
inference(superposition,[status(thm)],[c_16418,c_8531]) ).
tcf(c_16883,plain,
! [X0: $i,X1: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X0) = X0,
inference(superposition,[status(thm)],[c_16418,c_15166]) ).
tcf(c_17302,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X2) = X2,
inference(superposition,[status(thm)],[c_16418,c_16883]) ).
tcf(c_17913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X2)),X3) = multiply(inverse(multiply(X4,X2)),multiply(X4,X3)),
inference(superposition,[status(thm)],[c_17302,c_444]) ).
tcf(c_17931,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(light_normalisation,[status(thm)],[c_17913,c_17302]) ).
tcf(c_18455,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X1),X2)) = multiply(inverse(X1),X2),
inference(superposition,[status(thm)],[c_16418,c_17931]) ).
tcf(c_18462,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X2),X2)) = multiply(inverse(X1),X0),
inference(superposition,[status(thm)],[c_16418,c_17931]) ).
tcf(c_18472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),X3)) = multiply(inverse(X2),multiply(X0,X3)),
inference(superposition,[status(thm)],[c_17931,c_17931]) ).
tcf(c_18475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(multiply(X2,X0)),X3)) = multiply(inverse(multiply(X2,X1)),X3),
inference(superposition,[status(thm)],[c_17931,c_17931]) ).
tcf(c_18658,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_16759,c_18455]) ).
tcf(c_18715,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X0))) = X2,
inference(superposition,[status(thm)],[c_18658,c_16759]) ).
tcf(c_19366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X3))) = multiply(inverse(multiply(inverse(inverse(X3)),X0)),X2),
inference(superposition,[status(thm)],[c_18715,c_17931]) ).
tcf(c_19387,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(demodulation,[status(thm)],[c_15494,c_17931]) ).
tcf(c_19430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(multiply(inverse(X0),X0),X1)),multiply(multiply(inverse(X2),X2),X3)) = multiply(inverse(X1),X3),
inference(superposition,[status(thm)],[c_19387,c_17931]) ).
tcf(c_19483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2)),X3) = multiply(inverse(X2),multiply(X0,X3)),
inference(superposition,[status(thm)],[c_18658,c_18472]) ).
tcf(c_19821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3)) = multiply(inverse(multiply(X1,X0)),X3),
inference(superposition,[status(thm)],[c_18658,c_18475]) ).
tcf(c_19853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),X1)),multiply(inverse(multiply(inverse(X2),X3)),X4)) = multiply(inverse(multiply(inverse(multiply(inverse(X3),X2)),X1)),X4),
inference(superposition,[status(thm)],[c_18462,c_18475]) ).
tcf(c_19886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X1)),X2)),X3) = multiply(inverse(X2),multiply(inverse(multiply(inverse(X1),X0)),X3)),
inference(light_normalisation,[status(thm)],[c_19853,c_18658]) ).
tcf(c_20305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X1,multiply(inverse(multiply(X1,multiply(inverse(X2),X2))),X3))) = multiply(inverse(X0),X3),
inference(superposition,[status(thm)],[c_19483,c_17931]) ).
tcf(c_21317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X3))),X4)) = multiply(inverse(multiply(inverse(multiply(inverse(X3),X2)),X0)),X4),
inference(superposition,[status(thm)],[c_18475,c_19821]) ).
tcf(c_21659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X2))),X3))),X2))) = multiply(X4,multiply(inverse(multiply(X4,multiply(inverse(X5),X5))),X3)),
inference(superposition,[status(thm)],[c_20305,c_16759]) ).
tcf(c_21686,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2)) = X2,
inference(light_normalisation,[status(thm)],[c_21659,c_16759]) ).
tcf(c_25913,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X0)))) = X2,
inference(demodulation,[status(thm)],[c_16754,c_17931]) ).
tcf(c_26973,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(X2)))),X1) = X2,
inference(demodulation,[status(thm)],[c_16772,c_17931]) ).
tcf(c_27001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(multiply(inverse(X0),X0),X1),X2) = multiply(multiply(multiply(inverse(X3),X3),X1),X2),
inference(superposition,[status(thm)],[c_25913,c_26973]) ).
tcf(c_27368,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(multiply(X2,X1))))) = X2,
inference(demodulation,[status(thm)],[c_16773,c_17931]) ).
tcf(c_27398,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(X2),X2))))) = inverse(X1),
inference(superposition,[status(thm)],[c_16418,c_27368]) ).
tcf(c_27601,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_25913,c_27398]) ).
tcf(c_28219,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X2),X2),
inference(superposition,[status(thm)],[c_18658,c_27601]) ).
tcf(c_28265,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(multiply(X0,inverse(X1)),X1))) = inverse(multiply(inverse(X2),X2)),
inference(superposition,[status(thm)],[c_27601,c_16759]) ).
tcf(c_28628,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,inverse(multiply(multiply(X0,inverse(X1)),X1))),X2) = X2,
inference(superposition,[status(thm)],[c_28265,c_18658]) ).
tcf(c_29490,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(inverse(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))))),inverse(X0)),X2) = X2,
inference(superposition,[status(thm)],[c_27601,c_28628]) ).
tcf(c_31398,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1))))),X2) = X2,
inference(superposition,[status(thm)],[c_28219,c_18658]) ).
tcf(c_32770,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),X1) = multiply(multiply(inverse(X2),X2),X1),
inference(superposition,[status(thm)],[c_31398,c_19430]) ).
tcf(c_38734,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(inverse(inverse(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))))),X0),X2) = X2,
inference(superposition,[status(thm)],[c_25913,c_29490]) ).
tcf(c_38782,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(X0),X0),inverse(inverse(multiply(inverse(X1),X1)))),X2) = X2,
inference(superposition,[status(thm)],[c_32770,c_38734]) ).
tcf(c_38951,plain,
! [X0: $i,X1: $i] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_28219,c_38782]) ).
tcf(c_39052,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(backward_subsumption_resolution,[status(thm)],[c_16564,c_38951]) ).
tcf(c_39058,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(multiply(inverse(X0),X0),X1),X2) = multiply(X1,X2),
inference(demodulation,[status(thm)],[c_27001,c_38951]) ).
tcf(c_39066,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(demodulation,[status(thm)],[c_38782,c_38951]) ).
tcf(c_39069,plain,
! [X0: $i,X1: $i] : inverse(multiply(inverse(inverse(X0)),inverse(multiply(X1,X0)))) = X1,
inference(demodulation,[status(thm)],[c_27368,c_38951]) ).
tcf(c_39072,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),X1) = X1,
inference(demodulation,[status(thm)],[c_32770,c_38951]) ).
tcf(c_40583,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(inverse(X0)),multiply(inverse(inverse(inverse(X0))),X1))),multiply(X1,X2)) = X2,
inference(demodulation,[status(thm)],[c_8461,c_19366,c_19886,c_21317,c_38951,c_39069,c_39058]) ).
tcf(c_42284,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),X0)))),X1)),multiply(X1,X2)) = X2,
inference(superposition,[status(thm)],[c_39066,c_40583]) ).
tcf(c_42285,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(light_normalisation,[status(thm)],[c_42284,c_39072]) ).
tcf(c_42585,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,multiply(inverse(X1),X1))),X2) = multiply(inverse(X0),X2),
inference(superposition,[status(thm)],[c_21686,c_42285]) ).
tcf(c_42648,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(demodulation,[status(thm)],[c_21686,c_42585]) ).
tcf(c_42903,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_17931,c_42648]) ).
tcf(c_45279,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_42285,c_42903]) ).
tcf(c_45303,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_39052,c_45279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP052-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 13:24:43 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 39.24/6.40 % SZS status Started for theBenchmark.p
% 39.24/6.40 % SZS status Unsatisfiable for theBenchmark.p
% 39.24/6.40
% 39.24/6.40 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 39.24/6.40
% 39.24/6.40 % ------ iProver source info
% 39.24/6.40
% 39.24/6.40 % git: date: 2026-07-19 20:42:38 +0200
% 39.24/6.40 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 39.24/6.40 % git: non_committed_changes: false
% 39.24/6.40
% 39.24/6.40 % ------ Parsing...% successful
% 39.24/6.40
% 39.24/6.40
% 39.24/6.40 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 39.24/6.40
% 39.24/6.40 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 39.24/6.40
% 39.24/6.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 39.24/6.40
% 39.24/6.40 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 39.24/6.40 % ------ Proving...
% 39.24/6.40 % ------ Problem Properties
% 39.24/6.40
% 39.24/6.40 %
% 39.24/6.40 % clauses 2
% 39.24/6.40 % conjectures 1
% 39.24/6.40 % EPR 0
% 39.24/6.40 % Horn 2
% 39.24/6.40 % unary 1
% 39.24/6.40 % binary 0
% 39.24/6.40 % lits 4
% 39.24/6.40 % lits eq 4
% 39.24/6.40 % fd_pure 0
% 39.24/6.40 % fd_pseudo 0
% 39.24/6.40 % fd_cond 0
% 39.24/6.40 % fd_pseudo_cond 0
% 39.24/6.40 % AC symbols 0
% 39.24/6.40
% 39.24/6.40 % ------ Schedule dynamic 5 is on
% 39.24/6.40
% 39.24/6.40 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.24/6.40
% 39.24/6.40
% 39.24/6.40 % ------
% 39.24/6.40 % Current options:
% 39.24/6.40 % ------
% 39.24/6.40
% 39.24/6.40
% 39.24/6.40 %
% 39.24/6.40
% 39.24/6.40 % ------ Proving...
% 39.24/6.40 %
% 39.24/6.40
% 39.24/6.40 % SZS status Unsatisfiable for theBenchmark.p
% 39.24/6.40
% 39.24/6.40 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.24/6.40
% 39.24/6.40
%------------------------------------------------------------------------------