%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI739_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 : Tue Sep 29 09:33:46 AM UTC 2026
% Result : Theorem 2.71s 1.15s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 14 unt; 0 typ; 6 def)
% Number of atoms : 43 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 12 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 21 ( 0 atm; 0 fun; 19 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
exp: $real > $real ).
tff(func_def_5,type,
log: $real > $real ).
tff(func_def_6,type,
log2: $real > $real ).
tff(func_def_9,type,
log10: $real > $real ).
tff(func_def_11,type,
sF0: $real ).
tff(func_def_12,type,
sF1: $real ).
tff(f5,axiom,
! [X0: $real] : ( log(exp(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',log_exp) ).
tff(f9,conjecture,
log(exp(1/1)) = 1/1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',log_e) ).
tff(f10,negated_conjecture,
( ( ~ log(exp(1/1)) ) = 1/1 ),
inference(negated_conjecture,[status(cth)],[f9]) ).
tff(f12,plain,
1/1 != log(exp(1/1)),
inference(flattening,[],[f10]) ).
tff(f16,plain,
! [X0: $real] : ( log(exp(X0)) = X0 ),
inference(cnf_transformation,[],[f5]) ).
tff(f19,plain,
1/1 != log(exp(1/1)),
inference(cnf_transformation,[],[f12]) ).
tff(f25,definition,
sF0 = exp(1/1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f26,plain,
exp(1/1) = sF0,
inference(reorient_equations,[],[f25]) ).
tff(f27,definition,
sF1 = log(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f28,plain,
1/1 != sF1,
inference(definition_folding,[],[f19,f27,f26]) ).
tff(f40,definition,
( spl2_3
<=> ( sF1 = log(sF0) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f42,plain,
( ( sF1 = log(sF0) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f43,plain,
spl2_3,
inference(avatar_split_clause,[],[f27,f40]) ).
tff(f45,definition,
( spl2_4
<=> ( exp(1/1) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
tff(f47,plain,
( ( exp(1/1) = sF0 )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f48,plain,
spl2_4,
inference(avatar_split_clause,[],[f26,f45]) ).
tff(f50,definition,
( spl2_5
<=> ( 1/1 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
tff(f52,plain,
( ( 1/1 != sF1 )
| spl2_5 ),
inference(avatar_component_clause,[],[f50]) ).
tff(f53,plain,
~ spl2_5,
inference(avatar_split_clause,[],[f28,f50]) ).
tff(f54,plain,
( ( log(exp(1/1)) = sF1 )
| ~ spl2_3
| ~ spl2_4 ),
inference(superposition,[],[f42,f47]) ).
tff(f56,definition,
( spl2_6
<=> ( log(exp(1/1)) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
tff(f58,plain,
( ( log(exp(1/1)) = sF1 )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f56]) ).
tff(f59,plain,
( spl2_6
| ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f54,f45,f40,f56]) ).
tff(f61,plain,
( ( 1/1 = sF1 )
| ~ spl2_6 ),
inference(forward_demodulation,[],[f58,f16]) ).
tff(f62,plain,
( $false
| spl2_5
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f61,f52]) ).
tff(f63,plain,
( spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f62]) ).
tff(f64,plain,
$false,
inference(avatar_smt_refutation,[],[f63,f59,f53,f48,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI739_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n002.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 21:04:22 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.71/1.15 % (755777)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.71/1.15 % (755837)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2542362133:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.71/1.15 % (755837)First to succeed.
% 2.71/1.15 % (755837)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-755777"
% 2.71/1.15 % (755841)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=98282557:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.71/1.15 % (755838)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=4268890509:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.71/1.15 % (755839)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1997442016:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.71/1.15 % (755836)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=1137603891:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.71/1.15 % (755840)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2263726228:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.71/1.15 % (755839)Also succeeded, but the first one will report.
% 2.71/1.15 % (755840)Also succeeded, but the first one will report.
% 2.71/1.15 % (755842)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=154644603:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.71/1.15 % (755841)Also succeeded, but the first one will report.
% 2.71/1.15 % (755836)Instruction limit reached!
% 2.71/1.15 % (755836)------------------------------
% 2.71/1.15 % (755836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.15 % (755836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.15 % (755836)CaDiCaL version: 2.1.3
% 2.71/1.15 % (755836)Termination reason: Instruction limit
% 2.71/1.15 % (755836)Termination phase: Saturation
% 2.71/1.15 % (755836)Time elapsed: 0.030 s
% 2.71/1.15 % (755836)Peak memory usage: 115 MB
% 2.71/1.15 % (755836)Instructions burned: 12 (million)
% 2.71/1.15 % (755838)Also succeeded, but the first one will report.
% 2.71/1.15 % (755842)Also succeeded, but the first one will report.
% 2.71/1.15 % (755837)Refutation found. Thanks to Tanya!
% 2.71/1.15 % SZS status Theorem for theBenchmark
% 2.71/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.15 % (755837)------------------------------
% 2.71/1.15 % (755837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.15 % (755837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.15 % (755837)CaDiCaL version: 2.1.3
% 2.71/1.15 % (755837)Termination reason: Refutation
% 2.71/1.15 % (755837)Time elapsed: 0.020 s
% 2.71/1.15 % (755837)Peak memory usage: 116 MB
% 2.71/1.15 % (755837)Instructions burned: 10 (million)
% 2.71/1.15 % (755837)------------------------------
% 2.71/1.15 % (755837)------------------------------
% 2.71/1.15 % (755777)Success in time 0.287 s
% 2.71/1.15 % Vampire exiting
%------------------------------------------------------------------------------