%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : BOO035-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 01:00:17 PM UTC 2026
% Result : Unsatisfiable 26.18s 9.30s
% Output : CNFRefutation 26.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of formulae : 53 ( 47 unt; 0 def)
% Number of atoms : 72 ( 71 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 10 ( 2 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 : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 179 ( 0 sgn 179 !; 0 ?; 172 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(b),b,a) != a
| multiply(a,a,b) != a
| multiply(a,b,inverse(b)) != a
| multiply(b,a,a) != a
| multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms) ).
fof(f3,plain,
( a != multiply(inverse(b),b,a)
| a != multiply(a,a,b)
| a != multiply(a,b,inverse(b))
| a != multiply(b,a,a)
| multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ),
inference(reorient_equations,[],[f2]) ).
tcf(c_51,negated_conjecture,
( ( multiply(b,a,a) != a )
| ( multiply(a,a,b) != a )
| ( multiply(a,b,inverse(b)) != a )
| ( multiply(inverse(b),b,a) != a )
| ( multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,X3,multiply(multiply(X4,inverse(X4),X2),inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),X10))),multiply(inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),multiply(X10,X3,multiply(X6,multiply(X9,X8,X7),X5)),multiply(X4,inverse(X4),X2))) = X1,
inference(superposition,[status(thm)],[c_52,c_52]) ).
tcf(c_157,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X0) = X1,
inference(superposition,[status(thm)],[c_123,c_52]) ).
tcf(c_296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),multiply(X5,inverse(multiply(X4,inverse(X4),X6)),X6),multiply(X2,X3,inverse(X4)))),multiply(X3,X5,X2)) = X1,
inference(superposition,[status(thm)],[c_157,c_52]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(X2),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X3,X5),multiply(inverse(X3),inverse(multiply(X5,inverse(X5),X6)),X6),multiply(X4,X3,inverse(X5)))),X2),X3)) = X1,
inference(superposition,[status(thm)],[c_296,c_52]) ).
tcf(c_2723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
inference(superposition,[status(thm)],[c_296,c_700]) ).
tcf(c_3287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
inference(superposition,[status(thm)],[c_2723,c_2723]) ).
tcf(c_3333,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X1,X0) = X1,
inference(light_normalisation,[status(thm)],[c_3287,c_2723]) ).
tcf(c_3341,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
inference(demodulation,[status(thm)],[c_157,c_3333]) ).
tcf(c_3689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(inverse(X2),X3,X4),X5,X3)),multiply(X3,multiply(X2,X5,X4),inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_3333,c_52]) ).
tcf(c_4032,plain,
! [X0: $i,X1: $i] : inverse(multiply(X0,inverse(X0),X1)) = inverse(X1),
inference(superposition,[status(thm)],[c_3341,c_3333]) ).
tcf(c_4036,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1),X1) = X0,
inference(demodulation,[status(thm)],[c_3341,c_4032]) ).
tcf(c_4259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] : multiply(X0,inverse(multiply(X1,X2,multiply(multiply(X3,inverse(X3),X1),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X9))),multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X9,X2,multiply(X5,multiply(X8,X7,X6),X4)),multiply(X3,inverse(X3),X1))) = X0,
inference(superposition,[status(thm)],[c_4036,c_124]) ).
tcf(c_4260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = X0,
inference(superposition,[status(thm)],[c_4036,c_52]) ).
tcf(c_4262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(X3),X4),X5,X2)),multiply(inverse(X3),multiply(X3,X5,X4),X2)) = X1,
inference(superposition,[status(thm)],[c_4036,c_52]) ).
tcf(c_4281,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0),X1) = X1,
inference(demodulation,[status(thm)],[c_124,c_4259]) ).
tcf(c_4283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2) = multiply(X2,X0,X1),
inference(demodulation,[status(thm)],[c_123,c_4260]) ).
tcf(c_4384,plain,
! [X0: $i] : inverse(inverse(X0)) = X0,
inference(superposition,[status(thm)],[c_3333,c_4281]) ).
tcf(c_4387,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),X0,X1) = X1,
inference(superposition,[status(thm)],[c_4384,c_4281]) ).
tcf(c_4388,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,inverse(X0)) = X1,
inference(superposition,[status(thm)],[c_4384,c_3333]) ).
tcf(c_4389,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_4384,c_4036]) ).
tcf(c_4390,plain,
( ( multiply(b,a,a) != a )
| ( multiply(a,a,b) != a )
| ( multiply(a,b,inverse(b)) != a )
| ( multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_51,c_4387]) ).
tcf(c_4391,plain,
( ( multiply(b,a,a) != a )
| ( multiply(a,a,b) != a )
| ( multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4390,c_4389]) ).
tcf(c_4719,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,multiply(X0,X1,X2)) = multiply(X1,X2,X0),
inference(superposition,[status(thm)],[c_4281,c_4283]) ).
tcf(c_4882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X1,multiply(X4,X3,X2),X0),
inference(superposition,[status(thm)],[c_4260,c_4281]) ).
tcf(c_4899,plain,
( ( multiply(b,a,a) != a )
| ( multiply(a,a,b) != a )
| ( multiply(d,e,multiply(a,b,c)) != multiply(e,multiply(c,b,a),d) ) ),
inference(demodulation,[status(thm)],[c_4391,c_4882]) ).
tcf(c_5131,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X1),X1) = multiply(X1,X0,X0),
inference(superposition,[status(thm)],[c_4388,c_4719]) ).
tcf(c_5132,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0),X1) = multiply(X1,X0,X1),
inference(superposition,[status(thm)],[c_4389,c_4719]) ).
tcf(c_5138,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,X0) = X0,
inference(light_normalisation,[status(thm)],[c_5132,c_4281]) ).
tcf(c_5139,plain,
! [X0: $i,X1: $i] : multiply(X0,X1,X1) = X1,
inference(light_normalisation,[status(thm)],[c_5131,c_4036]) ).
tcf(c_5175,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,X2) = multiply(X1,X2,X0),
inference(superposition,[status(thm)],[c_5138,c_4283]) ).
tcf(c_5176,plain,
! [X0: $i,X1: $i] : multiply(X0,X0,X1) = X0,
inference(superposition,[status(thm)],[c_5138,c_4283]) ).
tcf(c_5180,plain,
multiply(d,e,multiply(a,b,c)) != multiply(e,multiply(c,b,a),d),
inference(ground_joinability,[status(thm)],[c_4899,c_5139,c_5176]) ).
tcf(c_5181,plain,
multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,c,b)),
inference(demodulation,[status(thm)],[c_5180,c_5175]) ).
tcf(c_5307,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,multiply(X2,X0,X1)) = multiply(X1,X2,X0),
inference(superposition,[status(thm)],[c_5175,c_4719]) ).
tcf(c_5409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(inverse(X1),X2,X3),X4,X2)),multiply(X2,multiply(X1,X4,X3),inverse(X1))) = X0,
inference(light_normalisation,[status(thm)],[c_3689,c_4281]) ).
tcf(c_5410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(X1,multiply(inverse(X2),X1,X3),X4)),multiply(X1,multiply(X2,X4,X3),inverse(X2))) = X0,
inference(demodulation,[status(thm)],[c_5409,c_5175]) ).
tcf(c_5419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,inverse(X1),multiply(X1,multiply(X2,X1,X3),inverse(X2))) = X0,
inference(superposition,[status(thm)],[c_5138,c_5410]) ).
tcf(c_6360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(multiply(X1,inverse(X2),X3),X4,X1)),multiply(inverse(X2),multiply(X2,X4,X3),X1)) = X0,
inference(light_normalisation,[status(thm)],[c_4262,c_4281]) ).
tcf(c_6361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : multiply(X0,inverse(multiply(X1,multiply(X1,inverse(X2),X3),X4)),multiply(inverse(X2),multiply(X2,X4,X3),X1)) = X0,
inference(demodulation,[status(thm)],[c_6360,c_5175]) ).
tcf(c_6429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(X0,X1,X2),X3) = multiply(X3,multiply(X3,inverse(X0),X2),X1),
inference(superposition,[status(thm)],[c_6361,c_4281]) ).
tcf(c_7466,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X1,X0,X2),inverse(X1)) = X0,
inference(superposition,[status(thm)],[c_5419,c_4281]) ).
tcf(c_7555,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(X0,X1,X2),inverse(X2)) = X0,
inference(superposition,[status(thm)],[c_5307,c_7466]) ).
tcf(c_7571,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),X1,multiply(X0,X1,X2)) = X1,
inference(superposition,[status(thm)],[c_7466,c_5175]) ).
tcf(c_8143,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(X0,X1,X2),X0) = multiply(X0,X1,X2),
inference(superposition,[status(thm)],[c_7555,c_7571]) ).
tcf(c_27771,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,X1,X2) = multiply(X0,X2,X1),
inference(demodulation,[status(thm)],[c_8143,c_4281,c_6429]) ).
tcf(c_27801,plain,
multiply(d,e,multiply(a,b,c)) != multiply(d,e,multiply(a,b,c)),
inference(demodulation,[status(thm)],[c_5181,c_27771]) ).
tcf(c_27802,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_27801]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO035-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n008.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Fri Sep 25 06:37:19 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 26.18/9.30 % SZS status Started for theBenchmark.p
% 26.18/9.30 % SZS status Unsatisfiable for theBenchmark.p
% 26.18/9.30
% 26.18/9.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.18/9.30
% 26.18/9.30 % ------ iProver source info
% 26.18/9.30
% 26.18/9.30 % git: date: 2026-07-19 20:42:38 +0200
% 26.18/9.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.18/9.30 % git: non_committed_changes: false
% 26.18/9.30
% 26.18/9.30 % ------ Parsing...% successful
% 26.18/9.30
% 26.18/9.30
% 26.18/9.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.18/9.30
% 26.18/9.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 26.18/9.30
% 26.18/9.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.18/9.30
% 26.18/9.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 26.18/9.30 % ------ Proving...
% 26.18/9.30 % ------ Problem Properties
% 26.18/9.30
% 26.18/9.30 %
% 26.18/9.30 % clauses 2
% 26.18/9.30 % conjectures 1
% 26.18/9.30 % EPR 0
% 26.18/9.30 % Horn 2
% 26.18/9.30 % unary 1
% 26.18/9.30 % binary 0
% 26.18/9.30 % lits 6
% 26.18/9.30 % lits eq 6
% 26.18/9.30 % fd_pure 0
% 26.18/9.30 % fd_pseudo 0
% 26.18/9.30 % fd_cond 0
% 26.18/9.30 % fd_pseudo_cond 0
% 26.18/9.30 % AC symbols 0
% 26.18/9.30
% 26.18/9.30 % ------ Schedule dynamic 5 is on
% 26.18/9.30
% 26.18/9.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.18/9.30
% 26.18/9.30
% 26.18/9.30 % ------
% 26.18/9.30 % Current options:
% 26.18/9.30 % ------
% 26.18/9.30
% 26.18/9.30
% 26.18/9.30 %
% 26.18/9.30
% 26.18/9.30 % ------ Proving...
% 26.18/9.30 %
% 26.18/9.30
% 26.18/9.30 % SZS status Unsatisfiable for theBenchmark.p
% 26.18/9.30
% 26.18/9.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.18/9.30
% 26.18/9.30
%------------------------------------------------------------------------------