%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP513-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 01:34:37 PM UTC 2026
% Result : Unsatisfiable 2.65s 6.07s
% Output : CNFRefutation 2.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 39 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_52,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[],[f2]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(X0,multiply(X1,inverse(multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X3,X2))))))) = X3,
inference(superposition,[status(thm)],[c_51,c_51]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[status(thm)],[c_51,c_93]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(superposition,[status(thm)],[c_97,c_93]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,multiply(X2,inverse(X0))),inverse(X2))) = X1,
inference(superposition,[status(thm)],[c_116,c_51]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[status(thm)],[c_116,c_93]) ).
tcf(c_165,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(superposition,[status(thm)],[c_134,c_93]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
inference(superposition,[status(thm)],[c_165,c_132]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(superposition,[status(thm)],[c_284,c_165]) ).
tcf(c_407,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(X0,multiply(multiply(X1,inverse(X0)),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_329,c_116]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(multiply(X0,inverse(X1)))) = X1,
inference(superposition,[status(thm)],[c_407,c_97]) ).
tcf(c_472,plain,
! [X0: $i,X1: $i] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(superposition,[status(thm)],[c_407,c_284]) ).
tcf(c_502,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[status(thm)],[c_468,c_116]) ).
tcf(c_551,plain,
! [X0: $i,X1: $i] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(demodulation,[status(thm)],[c_502,c_329]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] : multiply(X0,X1) = multiply(X1,X0),
inference(superposition,[status(thm)],[c_551,c_116]) ).
tcf(c_573,plain,
multiply(inverse(b1),b1) != multiply(a1,inverse(a1)),
inference(demodulation,[status(thm)],[c_52,c_566]) ).
tcf(c_597,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(demodulation,[status(thm)],[c_573,c_566]) ).
tcf(c_830,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_597,c_472]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP513-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/5.31 % Computer : n012.cluster.edu
% 0.04/5.31 % Model : x86_64 x86_64
% 0.04/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31 % Memory : 8046.5625MB
% 0.04/5.31 % OS : Linux 6.8.0-71-generic
% 0.04/5.31 % CPULimit : 300
% 0.04/5.31 % WCLimit : 300
% 0.04/5.31 % DateTime : Wed Sep 23 14:57:26 UTC 2026
% 0.04/5.32 % CPUTime :
% 0.04/5.32 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.04/5.33 Running UEQ theorem proving
% 0.04/5.33 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/5.34
% 0.04/5.34 % ======== iProver multi-core TPTP/SMT =========
% 0.04/5.34
% 0.04/5.34 % Detected problem language: tptp
% 0.04/5.35 % Proving...
% 2.65/6.07 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.65/6.07 % SZS status Started for theBenchmark.p
% 2.65/6.07 % SZS status Unsatisfiable for theBenchmark.p
% 2.65/6.07
% 2.65/6.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.65/6.07
% 2.65/6.07 % ------ iProver source info
% 2.65/6.07
% 2.65/6.07 % git: date: 2026-07-19 20:42:38 +0200
% 2.65/6.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.65/6.07 % git: non_committed_changes: false
% 2.65/6.07
% 2.65/6.07 % ------ Parsing...% successful
% 2.65/6.07
% 2.65/6.07
% 2.65/6.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.65/6.07
% 2.65/6.07 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.65/6.07
% 2.65/6.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.65/6.07
% 2.65/6.07 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.65/6.07 % ------ Proving...
% 2.65/6.07 % ------ Problem Properties
% 2.65/6.07
% 2.65/6.07 %
% 2.65/6.07 % clauses 2
% 2.65/6.07 % conjectures 1
% 2.65/6.07 % EPR 0
% 2.65/6.07 % Horn 2
% 2.65/6.07 % unary 2
% 2.65/6.07 % binary 0
% 2.65/6.08 % lits 2
% 2.65/6.08 % lits eq 2
% 2.65/6.08 % fd_pure 0
% 2.65/6.08 % fd_pseudo 0
% 2.65/6.08 % fd_cond 0
% 2.65/6.08 % fd_pseudo_cond 0
% 2.65/6.08 % AC symbols 0
% 2.65/6.08
% 2.65/6.08 % ------ Input Options Time Limit: Unbounded
% 2.65/6.08
% 2.65/6.08
% 2.65/6.08 % ------
% 2.65/6.08 % Current options:
% 2.65/6.08 % ------
% 2.65/6.08
% 2.65/6.08
% 2.65/6.08 %
% 2.65/6.08
% 2.65/6.08 % ------ Proving...
% 2.65/6.08 %
% 2.65/6.08
% 2.65/6.08 % SZS status Unsatisfiable for theBenchmark.p
% 2.65/6.08
% 2.65/6.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.65/6.08
% 2.65/6.08
%------------------------------------------------------------------------------