%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP440-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 01:34:06 PM UTC 2026
% Result : Unsatisfiable 22.78s 3.81s
% Output : CNFRefutation 22.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 16 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 104 !; 0 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[],[f3]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),X2),inverse(multiply(X3,multiply(X4,X2))))),X3)))) = X4,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = X2,
inference(superposition,[status(thm)],[c_94,c_51]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(X2,X3),inverse(multiply(X4,multiply(X5,X3))))),X4)),X5)))) = multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X2,multiply(X6,X8)))))),
inference(superposition,[status(thm)],[c_51,c_105]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(inverse(X0),multiply(multiply(inverse(X2),multiply(multiply(inverse(X3),multiply(multiply(inverse(X4),X5),inverse(multiply(X6,multiply(X7,X5))))),X6)),X7)),X4)),X3)))) = X2,
inference(superposition,[status(thm)],[c_105,c_94]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = X3,
inference(superposition,[status(thm)],[c_125,c_105]) ).
tcf(c_2692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,multiply(X1,multiply(X2,inverse(multiply(inverse(X3),multiply(X0,multiply(X4,multiply(multiply(inverse(X4),X5),inverse(multiply(inverse(X2),multiply(inverse(X1),X5))))))))))) = X3,
inference(superposition,[status(thm)],[c_1790,c_1790]) ).
tcf(c_4310,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X1))))) = X2,
inference(superposition,[status(thm)],[c_1790,c_2692]) ).
tcf(c_4692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : inverse(multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X3,multiply(X0,multiply(X1,multiply(X4,inverse(multiply(inverse(X2),X4))))))))))) = X3,
inference(superposition,[status(thm)],[c_4310,c_51]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(inverse(X3),X2)))),inverse(X3)))) = X1,
inference(superposition,[status(thm)],[c_4310,c_4310]) ).
tcf(c_5642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(X3,X2)))),X3))) = X1,
inference(superposition,[status(thm)],[c_138,c_4798]) ).
tcf(c_5898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X0,
inference(superposition,[status(thm)],[c_5642,c_1790]) ).
tcf(c_5905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(inverse(X0),multiply(X0,multiply(multiply(X1,multiply(multiply(X2,multiply(X3,inverse(multiply(X4,X3)))),X4)),inverse(X2)))) = X1,
inference(superposition,[status(thm)],[c_5642,c_4310]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,multiply(multiply(X1,multiply(X2,inverse(multiply(multiply(X3,inverse(multiply(inverse(X4),X3))),X2)))),multiply(X4,inverse(X1)))) = X0,
inference(superposition,[status(thm)],[c_4310,c_5898]) ).
tcf(c_8887,plain,
! [X0: $i,X1: $i,X2: $i] : inverse(multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[status(thm)],[c_1790,c_4692]) ).
tcf(c_10304,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[status(thm)],[c_6528,c_5642]) ).
tcf(c_10314,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,multiply(inverse(X1),inverse(multiply(inverse(X2),X2))))) = X0,
inference(superposition,[status(thm)],[c_6528,c_5898]) ).
tcf(c_10315,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X0,multiply(X1,inverse(multiply(inverse(X2),X2))))) = X1,
inference(superposition,[status(thm)],[c_6528,c_5905]) ).
tcf(c_10945,plain,
! [X0: $i] : multiply(multiply(inverse(X0),X0),a2) != a2,
inference(superposition,[status(thm)],[c_10304,c_52]) ).
tcf(c_11281,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(inverse(X1),multiply(X1,multiply(X2,inverse(multiply(X0,X2)))))),a2) != a2,
inference(superposition,[status(thm)],[c_8887,c_10945]) ).
tcf(c_11541,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X2),X2))) = X0,
inference(superposition,[status(thm)],[c_10304,c_10314]) ).
tcf(c_12566,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(inverse(X1),X1))) = X0,
inference(superposition,[status(thm)],[c_11541,c_11541]) ).
tcf(c_12568,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_10315,c_12566]) ).
tcf(c_12570,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),a2) != a2,
inference(demodulation,[status(thm)],[c_11281,c_12568]) ).
tcf(c_12573,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),X2) = X0,
inference(demodulation,[status(thm)],[c_5642,c_12568]) ).
tcf(c_12590,plain,
multiply(multiply(a2,multiply(a2,inverse(multiply(a2,a2)))),a2) = a2,
inference(instantiation,[status(thm)],[c_12573]) ).
tcf(c_12591,plain,
multiply(multiply(a2,multiply(a2,inverse(multiply(a2,a2)))),a2) != a2,
inference(instantiation,[status(thm)],[c_12570]) ).
tcf(c_12592,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12591,c_12590]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP440-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 14:44:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running UEQ theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 22.78/3.81 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 22.78/3.81 % SZS status Started for theBenchmark.p
% 22.78/3.81 % SZS status Unsatisfiable for theBenchmark.p
% 22.78/3.81
% 22.78/3.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.78/3.81
% 22.78/3.81 % ------ iProver source info
% 22.78/3.81
% 22.78/3.81 % git: date: 2026-07-19 20:42:38 +0200
% 22.78/3.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.78/3.81 % git: non_committed_changes: false
% 22.78/3.81
% 22.78/3.81 % ------ Parsing...% successful
% 22.78/3.81
% 22.78/3.81
% 22.78/3.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.78/3.81
% 22.78/3.81 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 22.78/3.81
% 22.78/3.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.78/3.81
% 22.78/3.81 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 22.78/3.81 % ------ Proving...
% 22.78/3.81 % ------ Problem Properties
% 22.78/3.81
% 22.78/3.81 %
% 22.78/3.81 % clauses 2
% 22.78/3.81 % conjectures 1
% 22.78/3.81 % EPR 0
% 22.78/3.81 % Horn 2
% 22.78/3.81 % unary 2
% 22.78/3.81 % binary 0
% 22.78/3.81 % lits 2
% 22.78/3.81 % lits eq 2
% 22.78/3.81 % fd_pure 0
% 22.78/3.81 % fd_pseudo 0
% 22.78/3.81 % fd_cond 0
% 22.78/3.81 % fd_pseudo_cond 0
% 22.78/3.81 % AC symbols 0
% 22.78/3.81
% 22.78/3.81 % ------ Input Options Time Limit: Unbounded
% 22.78/3.81
% 22.78/3.81
% 22.78/3.81 % ------
% 22.78/3.81 % Current options:
% 22.78/3.81 % ------
% 22.78/3.81
% 22.78/3.81
% 22.78/3.81 %
% 22.78/3.81
% 22.78/3.81 % ------ Proving...
% 22.78/3.81 %
% 22.78/3.81
% 22.78/3.81 % SZS status Unsatisfiable for theBenchmark.p
% 22.78/3.81
% 22.78/3.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.78/3.81
% 22.78/3.81
%------------------------------------------------------------------------------